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12_path_finding.asciidoc

@@ -209,7 +209,7 @@ Selena also receives seven +channel_announcement+ messages with the correspondin
 .The channel graph
 image::images/mtln_1204.png[]
 
-===== Uncertainty in the channel graph
+==== Uncertainty in the channel graph
 
 ((("channel graph","uncertainty in")))As you can see from <<channel_graph_1>>, Selena does not know any of the balances of the channels. Her initial channel graph contains the highest level of uncertainty.
 

16_security_privacy_ln.asciidoc

@@ -603,7 +603,7 @@ In summary, privacy and security are nuanced, complex topics, and while many res
 
 In this chapter, we used many references from ongoing research on Lightning security. You may find these useful articles and papers listed by topic in the following lists.
 
-===== Privacy and probing attacks
+==== Privacy and probing attacks
 
 * Jordi Herrera-Joancomartí et al. https://eprint.iacr.org/2019/328["On the Difficulty of Hiding the Balance of Lightning Network Channels"]. _Asia CCS '19: Proceedings of the 2019 ACM Asia Conference on Computer and Communications Security_ (July 2019): 602–612.
 * Utz Nisslmueller et al. "Toward Active and Passive Confidentiality Attacks on Cryptocurrency Off-Chain Networks." arXiv preprint, https://arxiv.org/abs/2003.00003[] (2020).
@@ -611,11 +611,11 @@ In this chapter, we used many references from ongoing research on Lightning secu
 * George Kappos et al. "An Empirical Analysis of Privacy in the Lightning Network." arXiv preprint, https://arxiv.org/abs/2003.12470[] (2021).
 * https://github.com/LN-Zap/zap-desktop/blob/v0.7.2-beta/services/grpc/router.methods.js[Zap source code with the probing function].
 
-===== Congestion attacks
+==== Congestion attacks
 
 * Ayelet Mizrahi and Aviv Zohar. "Congestion Attacks in Payment Channel Networks." arXiv preprint, https://arxiv.org/abs/2002.06564[] (2020).
 
-===== Routing considerations
+==== Routing considerations
 
 * Marty Bent, interview with Joost Jager, _Tales from the Crypt_, podcast audio, October 2, 2020, https://anchor.fm/tales-from-the-crypt/episodes/197-Joost-Jager-ekghn6[].(((range="endofrange", startref="ix_16_security_privacy_ln-asciidoc0")))
 

part_1_divider.asciidoc

@@ -1,9 +1,8 @@
 [role="pagenumrestart"]
 [[part_1]]
 [part]
-== Understanding the Lightning Network
+= Understanding the Lightning Network
 
-[partintro]
 --
 An overview of the Lightning Network suitable for anyone interested in understanding the basic concepts and use of the Lightning Network.
 --

part_2_divider.asciidoc

@@ -1,8 +1,7 @@
 [[part_2]]
 [part]
-== The Lightning Network in Detail
+= The Lightning Network in Detail
 
-[partintro]
 --
 A detailed explanation of all the components of the Lightning Network and how they work. This part is highly technical and expects the reader to have some programming and computer science experience.
 --