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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:b00061aa873a2ae0885a3d6441c936a78a6e447c6f9551238c1a34ca721587bc

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=sha256:04922a3cbd3931e9be0f9d2f822b98f95a3448a63259631d9bec45d84cd55493

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:e46a734dba4d308f83566721a32debcf9102f9dd5db1a7c78978e5cd22c10c22

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=sha256:7131fe73cebaaacd5fc37801f355b287584e133e15491c7a763db078a09d9c00

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=sha256:32f28ece00ac4349fda796ab43cccd856e6fd99bb18882d948aef08d88ae2f71

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=sha256:6806ad1fa4e867afa734e098c021c718f5ec6129ed82f13cb5b383c8faf0b975

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:c6f0437d97e86217a7f4e96b0a751efdf06a0ada77e73b6838522b2e38bd6776

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=sha256:3fb4d99896338ec7d501ca8752b6c82c63861da3c2ef5092c4d56d4e0d118b38

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=sha256:7f375d2d12a7c2e867c05c269e663dc0392def5a09c0a6b0d1e5b6e8762a5b3b

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=sha256:946ffa08849f41e69a20247747b2a06463581c5204863849aafe2b5b3e8f3a7d

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:cc30844be9eb84ab19c579e0ac3c04e32526b92c70566493f6c516c0250e6ab8

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:b1410676ebb1aa4d120966943b5af98353b09e67f511e73126241cd4c8c008dd

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:d399dc8e89b721aba486737db6b937941965a30f293d0f692c7828ca92da22b1

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=sha256:43152462ab415205ee550b1e26ca94eace53e82df94bc07f5be98467cb9cb931

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=sha256:01dea58b338addb9cc713da1028315901c49113d1eee171afbe8237ad0aaf995

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=sha256:08ed5a65b6b6bbab2d693cd862867723289fc113f22f5b698b05786a864d62a6

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:b28f31b27f4730b39a61d911e9087cc686a8d5f67fa71f1963f3fdce936aab8d

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:a800960e8adabcc9c27ce73fdefe292fc2e176e4f2ad020aac2e39aa1fc6e594

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=sha256:4a85349e2dbef89921866301120b4a514654fbf92eb766fb0f302ffde45089a9

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=sha256:6b71a3f59bc8ab276726802d4487d6c04f926136d76e00e577db5203ab809025

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:cad3c08444900557c8ab951256acc097aee0cbb50bb50a2b0c013c031a897014

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=sha256:9a578c7662a7e781b426a12687e0c58839ba4593c23797c35d710a3b015cee8a

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=sha256:2902078c1a4690bfa9e0cd575055a79b54fd29b9f63c958cfabe0ee109c4358d

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=sha256:3a16d2f715f3bd8182a786fed5a56f851085595a945f7fc56f6167c3e4791e3a

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=sha256:1d3939d4a8f3a9ce45ff140233f3ff3e936a36bd51b784262b40195e97d79d8b

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:a713e5d534ed16d379046081efa3014f803132065467c651b057d5ca46b1f354

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=sha256:680f6184d92f23c177761df1850084ca6547bb8aee96e1bc963e07d2ffca0def

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:cfa93b7eb0b9677c3a99fcae8b25b04eea9cfef3994afc9e851c5974dcd7bc58

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=sha256:7e438fc81200de5322fb1b83c95795f9d961db5f9e1d3ebb03787ee62e904992

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=sha256:94427b59654a3c7d6f438474e5ce815136f790d5345f4a15acbdc54422a788ee

Pith citing papers

No inbound Pith citation observations are available.