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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:e3fea2b47459a395bca1be768fb82ad2b1e742742c09f0b3efc107edc09937d8

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=sha256:1f6e1a434b3ac655e0c45f51c441ce70a1b4723cc19c1ef9555d9b2ce1d51ae6

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:e2fe5683abfec0c970ffcfa7e5a546726faa11d253e66a2e58f4501045683287

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:f3245116ef1098d50936fcffba42361f36ae58e2d6ada6d086c8f7952f6d4aa4

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=sha256:263ace4633e65dd5eda7429e9152680a21b077c0012d6b2551c92bc2bae7a63a

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=sha256:8defba9568e75406f3da54c71e6cd28622203fa588ff9059569158d29499e0cf

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:d51393bb2dd8baf2177f4c3dd3b73a3c14d1447084b0bddf55ccec381a840007

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:d92dc2ef898b641e0907805e027546243b11e38fa69e3a3cc1631d35553d4340

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=sha256:096cb42626b1daab4c4dd27099bd2ba8292a47dcd563016d779b1f436b4bfc6c

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:a47cae2677869b925c143d729a384670bfa438943a73de5044aa78222c69302f

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=sha256:7380ea7d9d0d0da0ed939238fb9b67480310175386587da05901ac72b0684541

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=sha256:39ec9f936944b05a5ba41942a7889ba66058b114bfd301a9f20d67985c74fab4

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=sha256:8f6c075554b9f944571b50a964db4fc944ce8dfd3d5f98ff1825aa0309fabbef

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:de9dbe8ecec6ce97e41c787d3f4cc8ec232c635bc3a80317048be80c069916ca

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=sha256:16b1164d4e40fe00e60432130d5ff1d7aabf1065ad0f283f88b106256c165043

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:b6d4bc6200f86f9e202a648c28172aed6146e05a5206f05e41073c19ff7eef18

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=sha256:8da6813ab6b7b42d7298a22a73fbba1e153af702dccd5177af41e0ba276c504b

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=sha256:32aa17fc37b67e6a61411bd3bbc0e48c57aeeafde89656bf83cd3f851bf8eaf1

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:ecf09aa652bf5b062cb5b34737c3ec8af375428dbecee91a763d46a147d4627c

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:ec60ecd11a376e500cc128582561a8f0ac23fa111c8eb4ef5fd0973b6e65593d

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=sha256:906637b22d33507bc93ea9943a0ec3ca2189cd541bfe53cbd5823a6e2901644c

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:e06a3f57013335fb1da6efe15ee5f786cf08aafe2886b27dd45196642d0e8758

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:ee28ad201a7334dfd6771db1c062829aa3cc527f1be651f92fec90b0067566ba

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:ede4467d2c716ec6494b61afdc2ea88e588f86bd6f6503db0d005ff5582d8fee

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=sha256:2409d408d03e011e6512cecce66757e07587fa355a3726604d5618cde3efd842

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=sha256:5eff3fba8e324e073210edcb46427649c24702a505ab6ea061659cc4a549ef29

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=sha256:9e900885dddb4894fe43c380f8f782f311bd961150dce89b1d17dbc753f8e936

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=sha256:96d20b888788a25efa8b0bf8525bda31ec535ada3b165ef5a0798f3c139e50d1

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=sha256:2725abcdc7ba934b33963447d0c1858ad6223e69e2012058f72a82cb5537b81c

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:f390cb94b4d631a156dd73459d472edb13bb8d2f3e9f69d6445b88a5db539460

Pith citing papers

No inbound Pith citation observations are available.