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Paper Citation Record · LEDGER

Every fork-free graph is perfectly weight divisible

As of 15 August 2026, this Paper Citation Record lists 30 of 30 outbound references and 0 inbound Pith citation observations for arXiv:2608.13519.

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

pith.paper-citation-record.v1
2608.13519 v1

Coverage vector

measured 30 of 30 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T05:25:45.900033Z

measured 30 of 30 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+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

30 of 30 outbound references displayed

  • verified exact1
  • verified fuzzy18
  • unresolved11
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 8c6c9dc2-af79-4230-baa0-76b2551ab4c7 · outbound

This paper cites an unresolved cited work.

Every fork-free graph is perfectly weight divisible Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-14T05:25:46.478409Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T05:25:45.750461Z digest=sha256:ca95b3a89f36d5797ddf6dd34b66afa1aad810962c830a5028261ab3c5e4769a

Observation f2030414-d01a-4a2f-9e7f-e839028868e2 · outbound

This paper cites Brause, B.

Every fork-free graph is perfectly weight divisible Brause, B

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:25:46.463925Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T05:25:45.755567Z digest=sha256:4dfa2daf50a141011b0a267e4c9433910fdf44de6f3e6efaf9cda213a6d51642

Observation b7a0c41a-4d52-4e26-b6fc-5695c4f0b4b2 · outbound

This paper cites Chudnovsky, L.

Every fork-free graph is perfectly weight divisible Chudnovsky, L

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:25:46.447993Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T05:25:45.759972Z digest=sha256:7772a6f5a568bb0043b1e494e19b19e931fcdcd9b89b9cbee75ebc771d575f79

Observation 4d9222a0-d6d8-4746-ada8-648179496ba3 · outbound

This paper cites Chudnovsky, S.

Every fork-free graph is perfectly weight divisible Chudnovsky, S

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:25:46.431112Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T05:25:45.765239Z digest=sha256:0c8ca9b222ccdd3060ab4ca1b034c5b06390e9297b8c1a6d3283214ea2419c03

Observation b23ccc00-2e05-4500-8ce7-2e0ca863f439 · outbound

This paper cites Chudnovsky and M.

Every fork-free graph is perfectly weight divisible Chudnovsky and M

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:25:46.414600Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T05:25:45.770081Z digest=sha256:705747d23fdec151e003ff83257907a9d739c1365383a376e79f46741f37a0d8

Observation 8d436acf-4f65-4003-8a01-247d2d769ba5 · outbound

This paper cites Chudnovsky, N.

Every fork-free graph is perfectly weight divisible Chudnovsky, N

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:25:46.399963Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T05:25:45.774920Z digest=sha256:3c9225124c5add71e379756ecc139d8eccf9122aaa1e7ce98a064fbe2d0e0b2e

Observation 304e63d2-aba2-45b5-b332-62133f6dc634 · outbound

This paper cites Chudnovsky and P.

Every fork-free graph is perfectly weight divisible Chudnovsky and P

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:25:46.383598Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T05:25:45.780743Z digest=sha256:6c4e7a93b28bf5800dc94978f3577a382bdccf802803740a72c7e8ff4640ba39

Observation d4b1451d-6b2f-4dca-945c-ee3a98c2b70c · outbound

This paper cites Chudnovsky and P.

Every fork-free graph is perfectly weight divisible Chudnovsky and P

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:25:46.367546Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T05:25:45.785333Z digest=sha256:5008496617b63757e65515594ff51265cd8bc1e42b3bd759b1818d4a63d0cb63

Observation 26d98ffd-3f77-4c39-b329-a3e8ccd06e79 · outbound

This paper cites Chudnovsky and P.

Every fork-free graph is perfectly weight divisible Chudnovsky and P

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:25:46.352617Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T05:25:45.790079Z digest=sha256:ec1f7967dc5648656367ab37c40976d801c5f7b1e9021d683008dc924a7ea6a8

Observation 9c54015e-ac00-4aed-a2b0-7ac5a7f3a05c · outbound

This paper cites Chudnovsky and V.

Every fork-free graph is perfectly weight divisible Chudnovsky and V

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-14T05:25:45.794917Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T05:25:45.794917Z digest=sha256:b10b7c0405781e701958b699203757fdd2b41fb0546ec81cfb2b07a4fe196df3

Observation ce86ecfc-507f-4a2c-af4a-2d068bfb0d09 · outbound

This paper cites Erdős, Graph theory and probability,Canad.

Every fork-free graph is perfectly weight divisible Erdős, Graph theory and probability,Canad

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:25:46.326763Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T05:25:45.800060Z digest=sha256:faaa021d7fbd5e3da1e676d141b09e5763196291f79acb64c6b5fbdb88b360b9

Observation 8cda315e-de22-430a-aa71-3fe8f9df67a0 · outbound

This paper cites Faudree, E.

Every fork-free graph is perfectly weight divisible Faudree, E

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:25:46.311249Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T05:25:45.805068Z digest=sha256:ca7c181980282baf0dbd19453e2722e9b112ba4f98f3c2131abfeb0a5fbc7108

Observation 1aca82e1-cef9-42dd-8546-bf44a761be91 · outbound

This paper cites Gyárfás, On Ramsey covering-numbers, inInfinite and Finite Sets, Vol.

Every fork-free graph is perfectly weight divisible Gyárfás, On Ramsey covering-numbers, inInfinite and Finite Sets, Vol

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:25:46.295246Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T05:25:45.809565Z digest=sha256:5401a3f2577c4aaaf6a42fe71dc48d0a07bf4dd0455bdfc67a1b22f4d3bc23be

Observation 4a882e80-478a-402b-94d9-26ba7af8d677 · outbound

This paper cites an unresolved cited work.

Every fork-free graph is perfectly weight divisible Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-14T05:25:46.280089Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T05:25:45.814281Z digest=sha256:9fcfb569adc4c857b655f5e4655b3f5487566d4da2f8cd1ddb7d5eff0f08aac6

Observation b0b44b1e-52eb-4d20-a830-0deff88eb5bf · outbound

This paper cites Hu and B.

Every fork-free graph is perfectly weight divisible Hu and B

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:25:46.265676Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T05:25:45.818951Z digest=sha256:42a187d6805a44072b3dc5f2326bd18e7c357c052c67221738505405c9fb6fbe

Observation 79d68cb4-18da-4a41-a119-f250c9305f4e · outbound

This paper cites an unresolved cited work.

Every fork-free graph is perfectly weight divisible Unresolved cited work

Reference 16

Resolution
unresolved
no resolver link, observed 2026-08-14T05:25:45.823511Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T05:25:45.823511Z digest=sha256:add0309781b2fad892ac0d21374bd0809f8284220c1b437a3d8ea4d8012b0604

Observation 97ab9c65-0522-44c3-b1e3-568d20532076 · outbound

This paper cites Karthick, J.

Every fork-free graph is perfectly weight divisible Karthick, J

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:25:46.250332Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T05:25:45.828156Z digest=sha256:37ae1035dd92a9d9583bfc607cd81ba2508eb438507c44cbb4424d8babdacc1b

Observation cb6e69ad-3bb8-45e4-9190-59c05580dcae · outbound

This paper cites an unresolved cited work.

Every fork-free graph is perfectly weight divisible Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-14T05:25:46.235148Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T05:25:45.832630Z digest=sha256:d8d1981f9f9dbbf8673c936860cc5870f098d48aa9695ba77c8ea790bbe5987b

Observation cf92d3fc-65fc-4f13-8e30-96f46f4a7345 · outbound

This paper cites an unresolved cited work.

Every fork-free graph is perfectly weight divisible Unresolved cited work

Reference 19

Resolution
unresolved
raw_fallback, observed 2026-08-14T05:25:46.217583Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T05:25:45.836834Z digest=sha256:a0addd4d23db8ab054ebe2f5d26cf58d4089fa3eaf84bc52e5f9dd2d78e23243

Observation 807c19eb-bf05-40f5-9306-b72db4341936 · outbound

This paper cites an unresolved cited work.

Every fork-free graph is perfectly weight divisible Unresolved cited work

Reference 20

Resolution
unresolved
raw_fallback, observed 2026-08-14T05:25:46.200890Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T05:25:45.842176Z digest=sha256:b30d720aaef1c50dc15fdcacfd334d10818f0b4cbca48d8ac429837a4a7702b2

Observation f0419926-5f17-45a6-86d8-e50e56343df3 · outbound

This paper cites an unresolved cited work.

Every fork-free graph is perfectly weight divisible Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-08-14T05:25:46.184421Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T05:25:45.846426Z digest=sha256:2bb257a5cd6b9286d08012a386a9ab298fcff6741fa7d115c7b576d9e18ed580

Observation e4a7bd66-0fe3-4854-9c1a-fd0724c99bc8 · outbound

This paper cites Lovász, Normal hypergraphs and the perfect graph conjecture,Discrete Math.2(1972), 253–267.

Every fork-free graph is perfectly weight divisible Lovász, Normal hypergraphs and the perfect graph conjecture,Discrete Math.2(1972), 253–267

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:25:46.168976Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T05:25:45.851936Z digest=sha256:c247bb149940a57b878f57a04b7fc23cfffc2dc9a67fc04d2611099bf4faa060

Observation 2bffc9b9-b6d0-45f8-924a-a2a1e0477bbb · outbound

This paper cites Lovász and M.

Every fork-free graph is perfectly weight divisible Lovász and M

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:25:46.153589Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T05:25:45.858596Z digest=sha256:abb31bcbfe5ebdc66b75ed86a04485480877208ea6c92fa41fc2547b5e806ad7

Observation b67800cc-643b-4559-9cc0-76b5ed7a99c4 · outbound

This paper cites Mattheus and J.

Every fork-free graph is perfectly weight divisible Mattheus and J

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:25:46.136904Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T05:25:45.864016Z digest=sha256:99e1fcb279ee6c0257be99ea502cf92812afd9d7ca5abc9a92b3e8aeaecb6117

Observation 85bdf95c-df73-41e8-9c01-29cf55321608 · outbound

This paper cites Schiermeyer and B.

Every fork-free graph is perfectly weight divisible Schiermeyer and B

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:25:46.121760Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T05:25:45.869760Z digest=sha256:b6eeda16e77be96573af8d83ad4ee0ab077e0f501670141dc7ddf86d64ffcfa4

Observation 2deb06dd-87ca-4f41-a9e5-50632ca01c57 · outbound

This paper cites Scott and P.

Every fork-free graph is perfectly weight divisible Scott and P

Reference 26

Resolution
unresolved
no resolver link, observed 2026-08-14T05:25:45.878325Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T05:25:45.878325Z digest=sha256:891ebc2c07dbf5a430023e512e999cefd36ba3c2a5aa18786347b5c740ccdeff

Observation 9b253675-a157-42d3-ad07-7e552561677b · outbound

This paper cites an unresolved cited work.

Every fork-free graph is perfectly weight divisible Unresolved cited work

Reference 27

Resolution
unresolved
raw_fallback, observed 2026-08-14T05:25:46.093531Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T05:25:45.883952Z digest=sha256:403b90fc9782c85ee64ee0bdd71998f2ace850f534b05c5c59067937bcf160f7

Observation aca51e7f-325f-49b2-b0be-79fe04a44957 · outbound

This paper cites an unresolved cited work.

Every fork-free graph is perfectly weight divisible Unresolved cited work

Reference 28

Resolution
unresolved
raw_fallback, observed 2026-08-14T05:25:46.069243Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T05:25:45.889190Z digest=sha256:9993983744ef5f08fd02f6d0c5d0065fb5cef8ffd46b9ca4b0c6269d4fa8bd0f

Observation d90fb543-2bff-4121-8559-fa2c74a99e89 · outbound

This paper cites Wu and B.

Every fork-free graph is perfectly weight divisible Wu and B

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:25:46.041683Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T05:25:45.894668Z digest=sha256:d53aeae1463d3a57ed2d1fb1710ef75d413728f46bc25183bbc43cdbc93a5de8

Observation d02d9aae-018b-480a-b7af-2b92391cc679 · outbound

This paper cites On minimal nonperfectly divisible fork-free graphs.

Every fork-free graph is perfectly weight divisible On minimal nonperfectly divisible fork-free graphs

Reference 30

Resolution
verified exact
local_arxiv, observed 2026-08-14T05:25:45.948687Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T05:25:45.900033Z digest=sha256:0baaee4cda29a70ccce77d720bc2e4c80dc0b9e727acc9434fcbb7efe67e8a71

Pith citing papers

No inbound Pith citation observations are available.