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Paper Citation Record · LEDGER

The optimal binding function for (cap, even hole)-free graphs

As of 19 August 2026, this Paper Citation Record lists 23 of 23 outbound references and 2 inbound Pith citation observations for arXiv:2506.19580.

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

pith.paper-citation-record.v1
2506.19580 v1

Coverage vector

measured 23 of 23 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T18:45:57.305548Z

measured 25 of 25 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-01T02:52:47.474624Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

23 of 23 outbound references displayed

  • verified exact1
  • verified fuzzy18
  • unresolved4
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation ba5e92df-d1a0-4e95-b9c5-199908f12328 · outbound

This paper cites an unresolved cited work.

The optimal binding function for (cap, even hole)-free graphs Unresolved cited work

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-15T18:45:57.203997Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T18:45:57.203997Z digest=sha256:51f1f8b7683bd2fb22d75fe2f1838988bcaaba88e27d387605f27f3cda305d61

Observation 10660618-185d-4a69-845e-3eda5503118b · outbound

This paper cites Cameron, M.

The optimal binding function for (cap, even hole)-free graphs Cameron, M

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T18:45:57.644842Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T18:45:57.209522Z digest=sha256:93c6acabe3a3002b9e47764022f3bee70d26353d47b0f7de18e2a6193d41b653

Observation 7a33b8eb-ae55-4d31-b8ec-8aaa3f11cc3d · outbound

This paper cites Cameron, S.

The optimal binding function for (cap, even hole)-free graphs Cameron, S

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T18:45:57.631135Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T18:45:57.214277Z digest=sha256:636f529d819881056a8f12d3a680fc81b58c1ba1bd0c941598013f22df7a944c

Observation 645bd30f-c3e7-4f6c-92f0-24263fc21d51 · outbound

This paper cites Nearly optimal coloring of some C4-free graphs.

The optimal binding function for (cap, even hole)-free graphs Nearly optimal coloring of some C4-free graphs

Reference 4

Resolution
verified exact
local_arxiv, observed 2026-08-15T18:45:57.346638Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T18:45:57.219196Z digest=sha256:46c28d81efe1c4ef0f659b5b125cdd0a226dd109cf47254ccb9d63f9714c1936

Observation 7af8f347-b0d9-4bb5-8136-aac893f4c0a2 · outbound

This paper cites Chudnovsky, N.

The optimal binding function for (cap, even hole)-free graphs Chudnovsky, N

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T18:45:57.617130Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T18:45:57.224253Z digest=sha256:5238ca4d3723dcf3d3915e5abac57d7d417dbb02e3c355356747b9e02e64d83c

Observation 06f999c7-d866-4bc5-af80-5b9971c5da02 · outbound

This paper cites Chudnovsky, A.

The optimal binding function for (cap, even hole)-free graphs Chudnovsky, A

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T18:45:57.603902Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T18:45:57.228799Z digest=sha256:0d6ea1db96ec8318ab2718c42f1e2fdef6c65fbb5ed6aff4adddcd3a1547467f

Observation aa817161-06b6-47c0-b85d-453d2a4f911a · outbound

This paper cites Chudnovsky, A.

The optimal binding function for (cap, even hole)-free graphs Chudnovsky, A

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T18:45:57.590896Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T18:45:57.233823Z digest=sha256:ca8db8ebe20b7e65d45f65a0c3fb90a89e4d0aa9b1ce04246b22802ccbd5e73b

Observation 03447863-589d-40c4-9846-3db4ca85532d · outbound

This paper cites Chudnovsky and P.

The optimal binding function for (cap, even hole)-free graphs Chudnovsky and P

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T18:45:57.577283Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T18:45:57.238165Z digest=sha256:5223c42f3c0237282d3ec7b4da619206cfad26bdc3729562be5491aa92877c06

Observation 37c97302-9aab-4029-bc88-f9c653786721 · outbound

This paper cites Conforti, G.

The optimal binding function for (cap, even hole)-free graphs Conforti, G

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T18:45:57.561441Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T18:45:57.242593Z digest=sha256:47554f7e202d5c6a8a2bc7cc3cac99ce62bbea0c7b6457f59a6ba125bc86d182

Observation 783de60c-90a7-4c79-a12e-4ba84d6c673f · outbound

This paper cites Conforti, G.

The optimal binding function for (cap, even hole)-free graphs Conforti, G

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T18:45:57.548112Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T18:45:57.247131Z digest=sha256:3071501c4a647fa133b6aea9884882bdb3e6012c31494d94e001185aa6e3e84a

Observation 4a84c96f-1b23-4b5e-b049-651fdfb0d1d1 · outbound

This paper cites an unresolved cited work.

The optimal binding function for (cap, even hole)-free graphs Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-15T18:45:57.534752Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T18:45:57.251508Z digest=sha256:003dc14fd6bd92d2ba4743c9a3a09e271e73ce8540b7a68a88ab54182bf2f24f

Observation 538899fe-a884-4246-b111-fe29424d9435 · outbound

This paper cites Erd˝ os, Graph theory and probability, Canad.

The optimal binding function for (cap, even hole)-free graphs Erd˝ os, Graph theory and probability, Canad

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T18:45:57.521167Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T18:45:57.256119Z digest=sha256:5aa9ae8c95b93e864d893dd137d5c7440ca9ed8e46097f89e948b16ad74e107d

Observation 65ebf6cb-6406-450d-9332-48d5d796da52 · outbound

This paper cites an unresolved cited work.

The optimal binding function for (cap, even hole)-free graphs Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-15T18:45:57.507187Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T18:45:57.260256Z digest=sha256:4893eea28ca3a7a786e6e4adbd7d84e11c0c2a3762c31be2278a455ce0e1a64a

Observation 2d87656b-399e-45e2-bace-7bd1c25f6d2c · outbound

This paper cites Gy´ arf´ as, On Ramsey covering-numbers, Infinite and Finite Sets 2 (1975) 801-816.

The optimal binding function for (cap, even hole)-free graphs Gy´ arf´ as, On Ramsey covering-numbers, Infinite and Finite Sets 2 (1975) 801-816

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T18:45:57.493267Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T18:45:57.265097Z digest=sha256:89cbcac9345711404b1d1f876cc0fd63e4d76c18dfdbeb3e7baa2ac108c62f19

Observation 11c6b62a-6fa9-4922-ad8c-2b6c0a5b8cda · outbound

This paper cites Gy´ arf´ as, Problems from the world surrounding perfect graphs, Zastosow.

The optimal binding function for (cap, even hole)-free graphs Gy´ arf´ as, Problems from the world surrounding perfect graphs, Zastosow

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T18:45:57.478540Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T18:45:57.269370Z digest=sha256:42d69f68ca854cf57a5e74e3ad4ba9dda81fa8fb9ebae6fbcc7e40b2c244cb87

Observation 5d206739-e402-4e5d-a601-9ddbfbab89ad · outbound

This paper cites Kloks, H.

The optimal binding function for (cap, even hole)-free graphs Kloks, H

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T18:45:57.464111Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T18:45:57.274121Z digest=sha256:e26b69669cfa91c736b30d2d6a61417dd2eab1585ecb98376e2353c1636cc496

Observation 521c1ec6-c97c-45dc-b33d-331806a89e0c · outbound

This paper cites Ramirez-Alfonsin and B.

The optimal binding function for (cap, even hole)-free graphs Ramirez-Alfonsin and B

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T18:45:57.449140Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T18:45:57.278658Z digest=sha256:0c793eddf39249a6df67b96b283e6722ddc37588dd6f4d19652f09fbd98f5f30

Observation c35741ce-e05f-4f51-ba8f-77f5e6e6eebb · outbound

This paper cites Schiermeyer and B.

The optimal binding function for (cap, even hole)-free graphs Schiermeyer and B

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T18:45:57.435105Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T18:45:57.283044Z digest=sha256:4c14dff9eec0384c6479ba4c62de34242d59d777fa57bed0fe4e66c21d302d75

Observation 17d44ecf-c6ca-4a67-bca4-593093c692c4 · outbound

This paper cites Scott and P.

The optimal binding function for (cap, even hole)-free graphs Scott and P

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T18:45:57.418229Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T18:45:57.287309Z digest=sha256:6bbb45d5787647ecec9639bfc050f2c0daae5daec0bf20c2475783bbbe2b4e93

Observation 333b009b-adf1-4819-9dec-629fc3dd326f · outbound

This paper cites an unresolved cited work.

The optimal binding function for (cap, even hole)-free graphs Unresolved cited work

Reference 20

Resolution
unresolved
raw_fallback, observed 2026-08-15T18:45:57.403854Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T18:45:57.292016Z digest=sha256:a0c469fbcb4ca7dfb971821ac19f73ce6cabaacca67a39d7c996897794876249

Observation 0d77adcd-a78a-447c-a799-dad3bc9ea66a · outbound

This paper cites Vuˇ skovi´ c, Even-hole-free graphs: a survey, Appl.

The optimal binding function for (cap, even hole)-free graphs Vuˇ skovi´ c, Even-hole-free graphs: a survey, Appl

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T18:45:57.389854Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T18:45:57.296486Z digest=sha256:442c80d7c77379768f718beecb2c0224bb26ffc3f72cf4f1f81ae1eafa9086db

Observation 1aea9b66-1838-4a90-8d99-0510dfd5a2d3 · outbound

This paper cites Wu and B.

The optimal binding function for (cap, even hole)-free graphs Wu and B

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T18:45:57.375374Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T18:45:57.301061Z digest=sha256:24e806c0949cc38b5235af38f3a3cb284df2ab913597159d9db59c40c259ecbd

Observation 81a37aeb-e63a-4d0e-8005-0b21fc33d793 · outbound

This paper cites Xu, A better upper bound on the chromatic number of (cap, even hole)-free graphs, Disc.

The optimal binding function for (cap, even hole)-free graphs Xu, A better upper bound on the chromatic number of (cap, even hole)-free graphs, Disc

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T18:45:57.361469Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T18:45:57.305548Z digest=sha256:f596153a941a88c591dfecb8897df2d96205c4285b72060aa4dde5279cf347a7

Pith citing papers

Observation 778a1f9a-ad15-4df3-9d4a-5414d03ee701 · inbound

Optimal coloring of $\{\mathrm{cap},\mathrm{even\ hole}\}$-free graphs with no short odd holes cites this paper.

Optimal coloring of $\{\mathrm{cap},\mathrm{even\ hole}\}$-free graphs with no short odd holes The optimal binding function for (cap, even hole)-free graphs

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-01T02:52:47.474624Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T02:52:47.474624Z digest=sha256:0146db6624c8c9c1f1560e2d5cd77c61b43f9c05dc4147cd77bf016e9405898c

Observation 9c8e064a-37e4-4ae1-9052-18a9c58c71d2 · inbound

Optimal binding function for (cap,even hole)-free graphs with no short odd holes cites this paper.

Optimal binding function for (cap,even hole)-free graphs with no short odd holes The optimal binding function for (cap, even hole)-free graphs

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-01T00:26:15.527371Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T00:26:15.527371Z digest=sha256:0793f7e19db162eca7efa65e0521ea400332280ddd5d0464c5e3544ad4ce7ff0