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Paper Citation Record · LEDGER

Lean-verified lower bounds for the Shannon capacity of odd cycles

As of 8 August 2026, this Paper Citation Record lists 14 of 14 outbound references and 0 inbound Pith citation observations for arXiv:2607.29681.

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

pith.paper-citation-record.v1
2607.29681 v1

Coverage vector

measured 14 of 14 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-03T01:55:38.834652Z

measured 14 of 14 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

14 of 14 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved14
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 446169e1-6f20-4d0f-be67-bd352ee8a660 · outbound

This paper cites an unresolved cited work.

Lean-verified lower bounds for the Shannon capacity of odd cycles Unresolved cited work

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-03T01:55:37.573757Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-03T01:55:37.573757Z digest=sha256:d95423653510b4608d5da9aa01c95585ca51971978a27ce0a5f6e6aaecbb460a

Observation 255f1436-24fb-4ba4-967f-a55848370d7e · outbound

This paper cites , TITLE =.

Lean-verified lower bounds for the Shannon capacity of odd cycles , TITLE =

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-03T01:55:37.603442Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-03T01:55:37.603442Z digest=sha256:49b57256aeafe3901b79942f26e1aae9be42187a2ee31c0a0a2c77b4a4a678d8

Observation 2b59c6d6-e540-404d-aadc-1e96c7056834 · outbound

This paper cites and Schrijver, Alexander , TITLE =.

Lean-verified lower bounds for the Shannon capacity of odd cycles and Schrijver, Alexander , TITLE =

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-03T01:55:37.655519Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-03T01:55:37.655519Z digest=sha256:eab6dd28e6663f799099bf342b2cfc829b6682966381082544e3fb285459b8f1

Observation 97f379e7-7811-426a-bd3d-509e4191cf53 · outbound

This paper cites Improved lower bound on the.

Lean-verified lower bounds for the Shannon capacity of odd cycles Improved lower bound on the

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-03T01:55:37.754040Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-03T01:55:37.754040Z digest=sha256:b539693a0cad57dde9c31382ac1ff988377533607aa15f61fc7e7918216e8d5b

Observation c6b7387d-276f-4e54-bb1c-3b5062704787 · outbound

This paper cites Ashik and \".

Lean-verified lower bounds for the Shannon capacity of odd cycles Ashik and \"

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-03T01:55:37.821126Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-03T01:55:37.821126Z digest=sha256:713bdc03ffd499c1b891259864b5ab16c2cc88401841255390833249628c5443

Observation c59de102-7abb-4054-b83e-630877032e43 · outbound

This paper cites an unresolved cited work.

Lean-verified lower bounds for the Shannon capacity of odd cycles Unresolved cited work

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-03T01:55:37.884732Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-03T01:55:37.884732Z digest=sha256:1d2cc673ef747e4421bf71d246c0605a7be50fe91a6673638d24032ed4ee7563

Observation b00fa027-1588-456d-8b44-6391bd25f719 · outbound

This paper cites Electron.

Lean-verified lower bounds for the Shannon capacity of odd cycles Electron

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-03T01:55:37.954088Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-03T01:55:37.954088Z digest=sha256:2fbce70e098a6ffd713fcd615ce410ff46ccea3a16e093bf6ecb868632ff12c0

Observation 5734e052-280d-49eb-9f10-b7b00af30e09 · outbound

This paper cites The asymptotic spectrum distance, graph limits, and the.

Lean-verified lower bounds for the Shannon capacity of odd cycles The asymptotic spectrum distance, graph limits, and the

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-03T01:55:38.063245Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-03T01:55:38.063245Z digest=sha256:326188ca4e6d414645b24bab6083d0f3faaf55f4ba965024c13c1022c85f89aa

Observation 240eba58-1b07-4a61-a602-baaded4e8842 · outbound

This paper cites 2026 , eprint=.

Lean-verified lower bounds for the Shannon capacity of odd cycles 2026 , eprint=

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-03T01:55:38.167239Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-03T01:55:38.167239Z digest=sha256:ca755bffa9acdfdbf46e99fdb56bc41007efb0be573842fa89ecc2831866bc6b

Observation 5d931c41-7518-48c0-983b-e85d32f8bc21 · outbound

This paper cites A Recursive Construction Improving the Lower Bound on the Shannon Capacity of $C_7$.

Lean-verified lower bounds for the Shannon capacity of odd cycles A Recursive Construction Improving the Lower Bound on the Shannon Capacity of $C_7$

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-03T01:55:38.282754Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-03T01:55:38.282754Z digest=sha256:6b16892e0db6a32916e6a506585ada1ee279e428b8a082da5c7b8ed14d4380bb

Observation bdda71da-fb89-43d5-b1cf-dbfb313a3fb0 · outbound

This paper cites The Lean 4 Theorem Prover and Programming Language , booktitle =.

Lean-verified lower bounds for the Shannon capacity of odd cycles The Lean 4 Theorem Prover and Programming Language , booktitle =

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-03T01:55:38.450438Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-03T01:55:38.450438Z digest=sha256:7d7b8f61cff4140c6ed8754f24b8ff5dfe8b51c9cc0b273c424f2b454f58822d

Observation 1166b77b-265b-46b2-98eb-0e6c943426e6 · outbound

This paper cites 2019 , eprint=.

Lean-verified lower bounds for the Shannon capacity of odd cycles 2019 , eprint=

Reference 12

Resolution
unresolved
no resolver link, observed 2026-08-03T01:55:38.578444Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-03T01:55:38.578444Z digest=sha256:70257cdefa15db3b48fe2ac745b740f3fa5d766a7391bc241c04af58ca77db1b

Observation 69c32d3e-82dc-490c-865c-a4bbd057fa5f · outbound

This paper cites Mathematical discoveries from program search with large language models , journal =.

Lean-verified lower bounds for the Shannon capacity of odd cycles Mathematical discoveries from program search with large language models , journal =

Reference 13

Resolution
unresolved
no resolver link, observed 2026-08-03T01:55:38.725290Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-03T01:55:38.725290Z digest=sha256:424332f76cc0caf09925298e3ae817b61c7a19456c38c8904c65a1d7c720ff16

Observation b33eca7a-472f-49b5-9525-ccbb9462da5b · outbound

This paper cites Ars Combin.

Lean-verified lower bounds for the Shannon capacity of odd cycles Ars Combin

Reference 14

Resolution
unresolved
no resolver link, observed 2026-08-03T01:55:38.834652Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-03T01:55:38.834652Z digest=sha256:bda7e2fe41bc49647ea26a57236f50850a7a9ef6f5c78d6d6e3c488cbf6f1095

Pith citing papers

No inbound Pith citation observations are available.