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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:a0ac3b72d50f70e2eba63ba9555af30f483d3cd6f164a51c7cf8fee5048bf878

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:f4c679bd354d0066aac3ac94782b3184d86ff97340f656ac367bd7da84c4ba05

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=sha256:30a237d928503d0e338b8581cdec67c908ebef30da199183c676bb47f8e441d1

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=sha256:89dc807609a688717c7d05c5a38f90f679a43d4127f9206283bea4f6c23e5053

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:e434838feaf83d124bec60ee102f4705b23b9ea87b35fa9cc96723e8f6bc2729

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=sha256:3c668575e2969bc58b0dc14803dedfe1221d04c40056d9717a4ca0bb670e7c3f

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:b80623b34abeafb8933f93bd505ff25e4268ca8dd6d62cc69b5b919cc562549f

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=sha256:66b62632547a6488f6dfb9408b053e7dc889519bf622abcf4739081ce74c339b

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=sha256:552237fc82bfd4f66793adbe282741fc11de9bff30c076d908aebb52dda30a2c

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:d1fecbe92b3fe650ef7a740fc7712772e6a0c2022f6eb175961bfe3adffb7ec2

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=sha256:3b50bf08f58131419e76f31608ddb90c30b9c5dbd69a951f82c2bc423ec6485e

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=sha256:5728163825efdcd0379615bc424f373d30337b11c848b031fc994c417513170d

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=sha256:16c52adc16903937a129d7d1dae8825c8ddb7c99c4a5532fae2cf365aa24c7b0

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=sha256:3afcc35e8524ed45935116589e7e34de02ca5675acf5562dfb37cb87c9d07234

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:ba60d848632ac46f0639dac53f01facf017c2f0b1d3f314ccc58fdf3cf14d273

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:a0299e818dca7513366c04f4cd11132975e1395a0914855b1eea1dfa013326ba

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:df9a2cf327de1f86b21a0a5b97db62fd9ead4ec50aa398d20e27c9b89ae92178

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:ecfffa43e4336975d5322fdd4a085b3dad65aef3ffbe8d3da5d7f435e05570db

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=sha256:017a340b0434262d5702a32a09e6b52efb59909a3329584b72d9b627756c198a

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:c9c269e8518f42b531db5d46b022d226344509cacc7cd052a1b6e5054f12fb00

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:c357ea26158e0f5cef22b02b823b20ec34d7af5dc312fc430dbf1021ce7709fd

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=sha256:21bb567d5fc6ea19fb57dc8f77565d911c66312f3f943e4ab57742bdb7960f94

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=sha256:46a50afd5e979f81aafb501157fa0a3930866d736fbef6c33e4862bc283c0f98

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=sha256:0ac73cbd848aee4b5d12740739106cd019d08984a3f1956941e040aa1a913eab

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=sha256:69b8d619671c42841e7ddcdf741063ab0cfde750e342787602accb26b4eff23f

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=sha256:95e0416186aec1cd414a4f081c349d03180d03a82a953767e20ee82e654a8142

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=sha256:3701d9fab494efb9a82cc46e85d7dd82bffc3897db8ddc384b31d1226df381e7

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:c50a6d1f5380c42c7669a012fc60b99371801e13450ce66a62c2b958947d10c2

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=sha256:4a45c9fd38afe9ed4c06195b91bb8507b171d65dfb8e7c73567817899d6d6527

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:ed06af31460876d25cf03958b4d9b4bcd5514553ba2b767c6790f5073946b52c

Pith citing papers

No inbound Pith citation observations are available.