Paper Citation Record · LEDGER

On the gracesize of trees

As of 19 August 2026, this Paper Citation Record lists 18 of 18 outbound references and 1 inbound Pith citation observation for arXiv:2511.11331.

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

pith.paper-citation-record.v1
2511.11331 v2

Coverage vector

measured 18 of 18 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-03T22:23:14.520656Z

measured 19 of 19 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 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T04:29:01.366923Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-07T04:29:05.309881Z

Reference resolution

18 of 18 outbound references displayed

verified exact0
verified fuzzy0
unresolved18
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 5e7dcfd0-b88b-4353-8cc1-c3ecacfc6e39 · outbound

This paper cites Adamaszek, P.

On the gracesize of trees Adamaszek, P

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-03T22:23:13.129961Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6937a09b-74bc-4e70-9a08-1689b12e57d6 · outbound

This paper cites Alon and R.

On the gracesize of trees Alon and R

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-03T22:23:13.165144Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 40536201-31d8-4303-bbd6-bd27b2023a20 · outbound

This paper cites Van Bussel.

On the gracesize of trees Van Bussel

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-03T22:23:13.241694Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 926f43b2-f108-4cc9-a3fb-70684e338e9b · outbound

This paper cites an unresolved cited work.

On the gracesize of trees Unresolved cited work

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-03T22:23:13.327599Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 659999a0-63f3-4fb0-b6ff-f4e0753f1b30 · outbound

This paper cites Erd˝ os, P.

On the gracesize of trees Erd˝ os, P

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-03T22:23:13.412532Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5525f945-880c-4db8-8fcf-e09b87aa0c34 · outbound

This paper cites Erd˝ os, M.

On the gracesize of trees Erd˝ os, M

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-03T22:23:13.498249Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 86843f12-570e-473a-be23-2361a0f1a4bd · outbound

This paper cites an unresolved cited work.

On the gracesize of trees Unresolved cited work

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-03T22:23:13.561921Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fcb07820-8504-4ebf-b66c-3ae017ef4725 · outbound

This paper cites an unresolved cited work.

On the gracesize of trees Unresolved cited work

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-03T22:23:13.610108Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e7e9e49a-9d1c-430c-8dfe-6ce933166ae0 · outbound

This paper cites Graham and N.

On the gracesize of trees Graham and N

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-03T22:23:13.646123Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3631c28d-5417-4888-8bef-698c7c162130 · outbound

This paper cites Janson, T.

On the gracesize of trees Janson, T

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-03T22:23:13.662914Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c5cf479e-c3a3-4e27-a8c8-cdf7d9fb4d9e · outbound

This paper cites Keevash and K.

On the gracesize of trees Keevash and K

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-03T22:23:13.800845Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6a863c11-c77c-4d75-9b71-9183a8d4dade · outbound

This paper cites an unresolved cited work.

On the gracesize of trees Unresolved cited work

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-03T22:23:13.911105Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1e131c82-0edc-44e7-b844-27ef4d83aff3 · outbound

This paper cites McDiarmid.

On the gracesize of trees McDiarmid

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-03T22:23:13.999105Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3c9e8f11-07f2-461b-8886-c0e34830c810 · outbound

This paper cites Molloy and B.

On the gracesize of trees Molloy and B

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-03T22:23:14.099367Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ca8b9956-f576-4331-a6ae-553332b909e4 · outbound

This paper cites Montgomery, A.

On the gracesize of trees Montgomery, A

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-03T22:23:14.195661Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 626e4508-08da-4231-8623-7a2fd9d8f6e0 · outbound

This paper cites an unresolved cited work.

On the gracesize of trees Unresolved cited work

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-03T22:23:14.277889Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation caf933c8-3480-406d-aa33-b72ec6e55778 · outbound

This paper cites an unresolved cited work.

On the gracesize of trees Unresolved cited work

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-03T22:23:14.398112Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 52dd6709-b8e7-41e6-8458-aca55701a5eb · outbound

This paper cites Rosa and J.

On the gracesize of trees Rosa and J

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-03T22:23:14.520656Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

Observation 3564ae0a-d7a4-46e4-aab8-72b1085b7d09 · inbound

A proof of Andersen's rainbow path conjecture for large $n$ cites this paper.

A proof of Andersen's rainbow path conjecture for large $n$ On the gracesize of trees

Reference 38

Resolution: verified exact; local_arxiv, observed 2026-08-07T04:29:05.378788Z

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.