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Paper Citation Record · LEDGER

Round and Resilience-Optimal Approximate Agreement on Trees and Block Graphs

As of 10 August 2026, this Paper Citation Record lists 45 of 45 outbound references and 1 inbound Pith citation observation for arXiv:2502.05591.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2502.05591 v5

Coverage vector

measured 45 of 45 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-08T18:54:49.822285Z

measured 46 of 46 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-10T06:31:04.303077+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-02T21:19:27.217876Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

45 of 45 outbound references displayed

  • verified exact2
  • verified fuzzy2
  • unresolved36
  • parse uncertain0
  • malformed identifier3
  • metadata mismatch2

External citation measurements

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Outbound references

Observation bac3e6be-c50a-46c2-af4b-b799b513fdb3 · outbound

This paper cites Optimal resilience asynchronous approxi- mate agreement.

Round and Resilience-Optimal Approximate Agreement on Trees and Block Graphs Optimal resilience asynchronous approxi- mate agreement

Reference 1

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source=pdf_text observed=2026-08-08T18:54:49.663129Z digest=sha256:a943e60ea49c739e0096a1702f8c223d689d4bcafd921e0dd90f9d120026ce72

Observation 14cc98e7-9017-4f1d-bb77-10342329d7d6 · outbound

This paper cites The topology of look-compute-move robot wait-free algorithms with hard termination.Distributed Computing, 32(3):235–255, 2019.doi:10.1007/s00446-018-0345-3.

Round and Resilience-Optimal Approximate Agreement on Trees and Block Graphs The topology of look-compute-move robot wait-free algorithms with hard termination.Distributed Computing, 32(3):235–255, 2019.doi:10.1007/s00446-018-0345-3

Reference 2

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source=pdf_text observed=2026-08-08T18:54:49.667574Z digest=sha256:f2c48b93ea8e03d3f31a2d028f118dd111fc83a6c9013c0483d276b61339f2a6

Observation 57ba637c-a7c0-4d7d-8846-a9e690885a91 · outbound

This paper cites Wait-free approximate agreement on graphs.

Round and Resilience-Optimal Approximate Agreement on Trees and Block Graphs Wait-free approximate agreement on graphs

Reference 3

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source=pdf_text observed=2026-08-08T18:54:49.671591Z digest=sha256:23bfe4f714e28c07430a1c62b448a914e1f32982906bcf3f3998ca6965abdf2b

Observation 217f44a2-cd07-499c-879e-033f91141c71 · outbound

This paper cites The Step Complexity of Multidimensional Approximate Agree- ment.

Round and Resilience-Optimal Approximate Agreement on Trees and Block Graphs The Step Complexity of Multidimensional Approximate Agree- ment

Reference 4

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source=pdf_text observed=2026-08-08T18:54:49.675578Z digest=sha256:dcf309e88bad09c7726aa2494ae52b241fd68f9db2d0f113f13b6ac416d2b87b

Observation 24480145-b56d-4c04-b40a-2662df277d67 · outbound

This paper cites Bandarupalli, A.

Round and Resilience-Optimal Approximate Agreement on Trees and Block Graphs Bandarupalli, A

Reference 5

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Observation a9be8d7d-288f-41c3-872f-c21ecdd4b635 · outbound

This paper cites an unresolved cited work.

Round and Resilience-Optimal Approximate Agreement on Trees and Block Graphs Unresolved cited work

Reference 6

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source=pdf_text observed=2026-08-08T18:54:49.683656Z digest=sha256:831f1ad0167895033b2e0694ddacaa62fc590a3171fdf729b18edab1910c6843

Observation 8385b26f-f822-4967-b217-d0683e05d3a5 · outbound

This paper cites Simple Gradecast Based Algorithms.

Round and Resilience-Optimal Approximate Agreement on Trees and Block Graphs Simple Gradecast Based Algorithms

Reference 7

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source=pdf_text observed=2026-08-08T18:54:49.687602Z digest=sha256:203c9135fd15d4e71af990971b9dba0a421038b5253bcb8c52100613f0e3bcb1

Observation 2448ad6e-8bbb-4b2b-bb62-ae21fef8fe33 · outbound

This paper cites Bender and Mart ´ ın Farach-Colton.

Round and Resilience-Optimal Approximate Agreement on Trees and Block Graphs Bender and Mart ´ ın Farach-Colton

Reference 8

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-08T18:54:49.691523Z digest=sha256:b19a5031ad9cc812e9c71c27865c27986572b91f1bc8e80d0d938aee5bcde5a5

Observation 62937dc9-4927-4761-883b-74a2f2f76368 · outbound

This paper cites Centroid Approximation with Multidimensional Approximate Agreement Protocols.

Round and Resilience-Optimal Approximate Agreement on Trees and Block Graphs Centroid Approximation with Multidimensional Approximate Agreement Protocols

Reference 9

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source=pdf_text observed=2026-08-08T18:54:49.694849Z digest=sha256:c598e9f19384c4628f4cd6ffb06618d56b152ef135e8a7ca2bc76b1c3ee9a184

Observation 563ffcc7-a8af-40db-8908-06dd6d8436c2 · outbound

This paper cites Con- vex Consensus with Asynchronous Fallback.

Round and Resilience-Optimal Approximate Agreement on Trees and Block Graphs Con- vex Consensus with Asynchronous Fallback

Reference 10

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Observation f452ecfe-cb60-4bef-a553-e643d90dadcd · outbound

This paper cites Gathering on rings under the look-compute-move model.Distributed Computing, 27(4):255–285, 2014.doi:10.1007/ s00446-014-0212-9.

Round and Resilience-Optimal Approximate Agreement on Trees and Block Graphs Gathering on rings under the look-compute-move model.Distributed Computing, 27(4):255–285, 2014.doi:10.1007/ s00446-014-0212-9

Reference 11

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Observation d4eb2ced-1087-431c-bc1c-5c36fcae9cc1 · outbound

This paper cites Lynch, Shlomit S.

Round and Resilience-Optimal Approximate Agreement on Trees and Block Graphs Lynch, Shlomit S

Reference 12

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source=pdf_text observed=2026-08-08T18:54:49.705936Z digest=sha256:42ca430b872c38f6a42362451130c46173bf9c8d13b4e3a1e8293b62d05b4239

Observation fccd3be8-c89f-407c-9589-a49c345a46e7 · outbound

This paper cites Raymond Strong.

Round and Resilience-Optimal Approximate Agreement on Trees and Block Graphs Raymond Strong

Reference 13

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source=pdf_text observed=2026-08-08T18:54:49.709257Z digest=sha256:4a3188f7037bbf86fcccab47b418a0d4989812eb6eea9bb20f8620a1a03a9f30

Observation be5cf8f3-6604-451b-981c-eae4b49417cd · outbound

This paper cites Validated Byzantine Asynchronous Multidimensional Approximate Agreement.

Round and Resilience-Optimal Approximate Agreement on Trees and Block Graphs Validated Byzantine Asynchronous Multidimensional Approximate Agreement

Reference 14

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source=pdf_text observed=2026-08-08T18:54:49.712556Z digest=sha256:7f4c6304aba2a5d97470d5936e35077abe24764a92c66f345e1654db5f10d81a

Observation 4d3877a6-fe8e-4139-9d24-96b6f85b9265 · outbound

This paper cites Collaborative learning in the jungle (decentralized, byzantine, heterogeneous, asynchronous and nonconvex learning).

Round and Resilience-Optimal Approximate Agreement on Trees and Block Graphs Collaborative learning in the jungle (decentralized, byzantine, heterogeneous, asynchronous and nonconvex learning)

Reference 15

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Observation 66a99161-323b-4855-b3e6-edf3a8eca00d · outbound

This paper cites Genuinely distributed byzantine machine learning.

Round and Resilience-Optimal Approximate Agreement on Trees and Block Graphs Genuinely distributed byzantine machine learning

Reference 16

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Observation dabec76d-e410-41b2-b128-fa14cdf517c8 · outbound

This paper cites Asynchronous Approximate Agreement with Quadratic Communication.

Round and Resilience-Optimal Approximate Agreement on Trees and Block Graphs Asynchronous Approximate Agreement with Quadratic Communication

Reference 17

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Observation f3d02c75-72d0-46e9-ac2e-c370a88dca7f · outbound

This paper cites an unresolved cited work.

Round and Resilience-Optimal Approximate Agreement on Trees and Block Graphs Unresolved cited work

Reference 18

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source=pdf_text observed=2026-08-08T18:54:49.726798Z digest=sha256:f8e1e620a798c68d915d1d4d50baadc81ecdba521c6b5dae55029f7c6dc6799b

Observation 4514bd30-591e-449c-9653-323efcc80a07 · outbound

This paper cites Asymptotically optimal algorithms for approximate agreement.Distributed Computing, 4(1):9–29, 1990.

Round and Resilience-Optimal Approximate Agreement on Trees and Block Graphs Asymptotically optimal algorithms for approximate agreement.Distributed Computing, 4(1):9–29, 1990

Reference 19

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Observation 9d3e15aa-cdfc-4559-9030-adc5059a94c8 · outbound

This paper cites Gathering asyn- chronous oblivious agents with local vision in regular bipartite graphs.Theoretical Computer Science, 509:26–41, 2013.doi:10.1016/j.tcs.2012.07.004.

Round and Resilience-Optimal Approximate Agreement on Trees and Block Graphs Gathering asyn- chronous oblivious agents with local vision in regular bipartite graphs.Theoretical Computer Science, 509:26–41, 2013.doi:10.1016/j.tcs.2012.07.004

Reference 20

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Observation f9f8a773-7141-4cb2-8f05-776cbe77ae4f · outbound

This paper cites Brief announcement: Towards round- optimal approximate agreement on trees.

Round and Resilience-Optimal Approximate Agreement on Trees and Block Graphs Brief announcement: Towards round- optimal approximate agreement on trees

Reference 21

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Observation bce83132-9410-4538-8ff4-949fa9b048cd · outbound

This paper cites Fast Multidimensional Asymptotic and Approximate Consensus.

Round and Resilience-Optimal Approximate Agreement on Trees and Block Graphs Fast Multidimensional Asymptotic and Approximate Consensus

Reference 22

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Observation 053bdc53-12cf-470a-9831-8ca3aaa3a4eb · outbound

This paper cites Round-optimal byzantine agreement.

Round and Resilience-Optimal Approximate Agreement on Trees and Block Graphs Round-optimal byzantine agreement

Reference 23

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source=pdf_text observed=2026-08-08T18:54:49.743913Z digest=sha256:dd8f60629b9617dbcb2ddbf03ca0b3758c27ea66b3537df580833fdf1cde9267

Observation f5ef300c-eaa3-4be0-9847-a0c80196ba30 · outbound

This paper cites Multidimensional approximate agreement with asynchronous fallback.

Round and Resilience-Optimal Approximate Agreement on Trees and Block Graphs Multidimensional approximate agreement with asynchronous fallback

Reference 25

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Observation d32946e5-ce58-40b0-96cd-13fb17876fdb · outbound

This paper cites Brief announcement: Communication-optimal convex agreement.

Round and Resilience-Optimal Approximate Agreement on Trees and Block Graphs Brief announcement: Communication-optimal convex agreement

Reference 26

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Observation 6bd49fa3-4cbe-4b29-a2a9-13e6643eb0fe · outbound

This paper cites Communication-Optimal Convex Agreement.

Round and Resilience-Optimal Approximate Agreement on Trees and Block Graphs Communication-Optimal Convex Agreement

Reference 27

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source=pdf_text observed=2026-08-08T18:54:49.757503Z digest=sha256:5c2d9800e17ecde3d1f7bf5a2dd94e1518227c236a6e0d0e5e9223421eb2d57e

Observation caa72a81-e874-47b5-85cc-eeb292204377 · outbound

This paper cites Brief announcement: Variants of approximate agreement on graphs and simplicial complexes.

Round and Resilience-Optimal Approximate Agreement on Trees and Block Graphs Brief announcement: Variants of approximate agreement on graphs and simplicial complexes

Reference 28

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Observation fabad026-72b2-43dc-87fc-14159e685037 · outbound

This paper cites Optimal clock synchronization with signatures.

Round and Resilience-Optimal Approximate Agreement on Trees and Block Graphs Optimal clock synchronization with signatures

Reference 29

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source=pdf_text observed=2026-08-08T18:54:49.764408Z digest=sha256:bcc88a228a8c1e0b31cbbf9e2585ddf7c2e9a43fe1146b2b9f6ba977475d95a3

Observation 5564417b-3640-4993-8dcb-bf2f8d85d9eb · outbound

This paper cites The Impossibility of Approximate Agreement on a Larger Class of Graphs.

Round and Resilience-Optimal Approximate Agreement on Trees and Block Graphs The Impossibility of Approximate Agreement on a Larger Class of Graphs

Reference 30

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Observation bda91231-f2cb-405a-9d52-40f46eee49fd · outbound

This paper cites Byzantine agreement with interval validity.

Round and Resilience-Optimal Approximate Agreement on Trees and Block Graphs Byzantine agreement with interval validity

Reference 31

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source=pdf_text observed=2026-08-08T18:54:49.771364Z digest=sha256:ec725dca5715ef2f1d87bbf65adaee8dc37242486bc19e04b99e600dd5ea6ce5

Observation db4be7ac-3b43-4dba-a7ca-e2987ff3a0de · outbound

This paper cites Multidimensional approximate agreement in byzan- tine asynchronous systems.

Round and Resilience-Optimal Approximate Agreement on Trees and Block Graphs Multidimensional approximate agreement in byzan- tine asynchronous systems

Reference 32

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source=pdf_text observed=2026-08-08T18:54:49.774688Z digest=sha256:683ed4df8e5cb4b2ef5570fb5a0eb6fb50f51771ed26dcc4ac038175120d6a93

Observation 0b91a216-a7b6-4ac9-a588-b2042798e2a2 · outbound

This paper cites Multidimensional agreement in byzantine systems.Distributed Computing, 28(6):423–441, 2015.

Round and Resilience-Optimal Approximate Agreement on Trees and Block Graphs Multidimensional agreement in byzantine systems.Distributed Computing, 28(6):423–441, 2015

Reference 33

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Observation c75ed5aa-78cb-4dc6-b299-a40813c6a0bc · outbound

This paper cites Optimal and player-replaceable consensus with an honest majority.

Round and Resilience-Optimal Approximate Agreement on Trees and Block Graphs Optimal and player-replaceable consensus with an honest majority

Reference 34

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Observation fc140fa8-8c98-460c-8d9b-b2d167c65867 · outbound

This paper cites Byzantine Approximate Agreement on Graphs.

Round and Resilience-Optimal Approximate Agreement on Trees and Block Graphs Byzantine Approximate Agreement on Graphs

Reference 35

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Observation 95e193b5-d036-4bd4-80cb-70f99a40f77b · outbound

This paper cites Distributed computing with mobile robots: An introductory survey.

Round and Resilience-Optimal Approximate Agreement on Trees and Block Graphs Distributed computing with mobile robots: An introductory survey

Reference 36

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source=pdf_text observed=2026-08-08T18:54:49.788088Z digest=sha256:71a7e4eaf898390040cc6b92de6fc2f4e190156c3703f224ce709fdccff830c2

Observation 8048304e-f4d8-4ddd-8a89-29e876f86050 · outbound

This paper cites Byzantine Agreement with Median Validity.

Round and Resilience-Optimal Approximate Agreement on Trees and Block Graphs Byzantine Agreement with Median Validity

Reference 37

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source=pdf_text observed=2026-08-08T18:54:49.791473Z digest=sha256:664abf38617c13b9efd8c324bd858a6e0d0b6213eeb777f7a42b3cfca681c188

Observation 1fed3125-6087-44e6-8174-dcf9572a40b1 · outbound

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Round and Resilience-Optimal Approximate Agreement on Trees and Block Graphs Unresolved cited work

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-08T18:54:49.794716Z digest=sha256:cf80fb5e2981e55e15c1b58731a55f1c65c74bbd2b7db788b9c04b9f850640a2

Observation 25cdc564-6197-4079-b0c9-8b6714588eab · outbound

This paper cites Vaidya and Vijay K.

Round and Resilience-Optimal Approximate Agreement on Trees and Block Graphs Vaidya and Vijay K

Reference 39

Resolution
unresolved
no resolver link, observed 2026-08-08T18:54:49.797946Z

Source-reported events for the cited work

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source=pdf_text observed=2026-08-08T18:54:49.797946Z digest=sha256:db026ba4b2e491e1315cf12f48bbb718ad11e934ede41fc677d66948d07ea0f2

Observation b338959f-8f19-4143-bb7a-1e8268a00033 · outbound

This paper cites Brief announcement: Relaxed byzantine vector consensus.

Round and Resilience-Optimal Approximate Agreement on Trees and Block Graphs Brief announcement: Relaxed byzantine vector consensus

Reference 40

Resolution
unresolved
no resolver link, observed 2026-08-08T18:54:49.801078Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-08T18:54:49.801078Z digest=sha256:4d56a8021349de819cb2b5da219115b8ed374ce4b6ef2ee9d86a67d2eec0c5fe

Observation bfaa379b-6004-4fe6-9251-49c334e8fff5 · outbound

This paper cites an unresolved cited work.

Round and Resilience-Optimal Approximate Agreement on Trees and Block Graphs Unresolved cited work

Reference 41

Resolution
unresolved
no resolver link, observed 2026-08-08T18:54:49.804257Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-08T18:54:49.804257Z digest=sha256:82066442bb17d8ad5818f95dd27d63faa3f3eb7e94a203316755d89203f69ec5

Observation f03a5922-2ee1-4bb8-b220-d036783e52ea · outbound

This paper cites an unresolved cited work.

Round and Resilience-Optimal Approximate Agreement on Trees and Block Graphs Unresolved cited work

Reference 42

Resolution
malformed identifier
raw_fallback, observed 2026-08-08T18:54:50.858177Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-08T18:54:49.808038Z digest=sha256:67eb6e917dba9ed821cb5811814054427024a88ed9cebdcf7db4ea8ff6c3ce94

Observation ca227497-80bd-4d28-8f2f-75e927fdd6e9 · outbound

This paper cites an unresolved cited work.

Round and Resilience-Optimal Approximate Agreement on Trees and Block Graphs Unresolved cited work

Reference 43

Resolution
unresolved
no resolver link, observed 2026-08-08T18:54:49.811786Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-08T18:54:49.811786Z digest=sha256:5bd7923aeef0f35a2a33eb65d154e5a522ead512270c57ede2101bbcc11b9f92

Observation 78685256-85a6-44c1-93c2-0fe1478cae7b · outbound

This paper cites an unresolved cited work.

Round and Resilience-Optimal Approximate Agreement on Trees and Block Graphs Unresolved cited work

Reference 44

Resolution
unresolved
no resolver link, observed 2026-08-08T18:54:49.815490Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-08T18:54:49.815490Z digest=sha256:2f7835249e5deb59317f1492179e6b589bd52c767a6e40bd17ab597e806ba1de

Observation 8e30e49e-1bf0-4e7b-b7fa-54627eb9779e · outbound

This paper cites Then, a vertexu is in the subtree rooted atvif and only ifL(u)⊆[i min, imax].

Round and Resilience-Optimal Approximate Agreement on Trees and Block Graphs Then, a vertexu is in the subtree rooted atvif and only ifL(u)⊆[i min, imax]

Reference 45

Resolution
unresolved
no resolver link, observed 2026-08-08T18:54:49.818975Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-08T18:54:49.818975Z digest=sha256:5765a510aca4336060a0d20638fa4b28cc3a5bebd5078570cd64b877c6c9dc13

Observation 5b7ca313-1eb6-4152-9cbc-4fbe1f3e35b0 · outbound

This paper cites Proof.First, we prove thatListConstruction(T, v root) terminates in a finite amount of time.

Round and Resilience-Optimal Approximate Agreement on Trees and Block Graphs Proof.First, we prove thatListConstruction(T, v root) terminates in a finite amount of time

Reference 46

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T18:54:50.829290Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-08T18:54:49.822285Z digest=sha256:4dc10aaad3a1829a28b96078e7ecb50ec471c575ffdefdd2d119f90128640d29

Pith citing papers

Observation 83032052-d259-4342-ba8d-5ea3186eb602 · inbound

General Convex Agreement with Near-Optimal Communication cites this paper.

General Convex Agreement with Near-Optimal Communication Round and Resilience-Optimal Approximate Agreement on Trees and Block Graphs

Reference 2025

Resolution
unresolved
no resolver link, observed 2026-08-02T21:19:27.217876Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T21:19:27.217876Z digest=sha256:ea8075202debd51383a87fdbc761cb9e8ab4a080467fd12406741ea4aa4e8916