Paper Citation Record · LEDGER

Trees whose path ideals have linear quotients

As of 8 August 2026, this Paper Citation Record lists 25 of 25 outbound references and 0 inbound Pith citation observations for arXiv:2506.06209.

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

pith.paper-citation-record.v1
2506.06209 v1

Coverage vector

measured 25 of 25 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T06:14:26.822086Z

measured 25 of 25 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+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

25 of 25 outbound references displayed

verified exact0
verified fuzzy17
unresolved8
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 086b2b90-ab10-4ed8-b9c5-849806410d8f · outbound

This paper cites Alilooee and S.

Trees whose path ideals have linear quotients Alilooee and S

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T06:14:32.927191Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 05d9fd1f-114b-4e2d-9d42-8b3e12a60ee9 · outbound

This paper cites an unresolved cited work.

Trees whose path ideals have linear quotients Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-07T06:14:32.754225Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation e0099997-67dc-45c6-a8ea-0cec0d094753 · outbound

This paper cites Ananthnarayan, Omkar Javadekar, and Aryaman Maithani,Linear quotients of connected ideals of graphs, J Algebr Comb34(2025), no.

Trees whose path ideals have linear quotients Ananthnarayan, Omkar Javadekar, and Aryaman Maithani,Linear quotients of connected ideals of graphs, J Algebr Comb34(2025), no

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T06:14:32.544169Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 2d65a5aa-5873-46ee-b135-5cc4773dc39c · outbound

This paper cites Pure Appl.

Trees whose path ideals have linear quotients Pure Appl

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T06:14:32.365291Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation dbb2d022-6b92-44f0-8d25-e427df09ad1f · outbound

This paper cites Bouchat and Tricia Muldoon Brown,Multi-graded betti numbers of path ideals of trees, Journal of Algebra and its Applications16(2017).

Trees whose path ideals have linear quotients Bouchat and Tricia Muldoon Brown,Multi-graded betti numbers of path ideals of trees, Journal of Algebra and its Applications16(2017)

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T06:14:32.000450Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 98970f72-98b1-43f9-a743-521042985d22 · outbound

This paper cites Bouchat, Huy T` ai H` a, and Augustine O’keefe,Path ideals of rooted trees and their graded betti numbers, Journal of Combinatorial Theory.

Trees whose path ideals have linear quotients Bouchat, Huy T` ai H` a, and Augustine O’keefe,Path ideals of rooted trees and their graded betti numbers, Journal of Combinatorial Theory

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T06:14:31.591204Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation ef7b4780-18d1-445d-9974-6588ca5c8b6e · outbound

This paper cites Algebra 211(1999), no.

Trees whose path ideals have linear quotients Algebra 211(1999), no

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T06:14:31.240908Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 75fd211f-2011-4a50-a468-965ef8b707ad · outbound

This paper cites an unresolved cited work.

Trees whose path ideals have linear quotients Unresolved cited work

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-07T06:14:24.224259Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a2b9a465-9b57-4b77-99f8-1d5ecf7953cb · outbound

This paper cites an unresolved cited work.

Trees whose path ideals have linear quotients Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-07T06:14:31.016248Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation cd23f827-e61b-4f0f-a180-6bd40a5959c7 · outbound

This paper cites Fatabbi,On the resolution of ideals of fat points, J.

Trees whose path ideals have linear quotients Fatabbi,On the resolution of ideals of fat points, J

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T06:14:30.760256Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation ad675f7f-2f3c-4393-bc7b-607fa1c97409 · outbound

This paper cites Francisco, Huy T` ai H` a, and Adam Van Tuyl,Splittings of monomial ideals, Proceedings of the American Mathematical Society137(2009), no.

Trees whose path ideals have linear quotients Francisco, Huy T` ai H` a, and Adam Van Tuyl,Splittings of monomial ideals, Proceedings of the American Mathematical Society137(2009), no

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T06:14:30.548649Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 1e7bb520-9309-4130-bdb0-b4e077daa222 · outbound

This paper cites an unresolved cited work.

Trees whose path ideals have linear quotients Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-07T06:14:30.390514Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 24f1ad50-2ec6-4823-94f1-2be64e731c29 · outbound

This paper cites Hang and T.

Trees whose path ideals have linear quotients Hang and T

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T06:14:30.176563Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation ac5ce411-a412-4408-bbe3-d1fc1f53c3e1 · outbound

This paper cites MR 288047 9, 10.

Trees whose path ideals have linear quotients MR 288047 9, 10

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T06:14:30.017253Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation aa81caba-ddc9-4673-894e-12cd94cae40e · outbound

This paper cites 260, Springer- Verlag London, Ltd., London, 2011.

Trees whose path ideals have linear quotients 260, Springer- Verlag London, Ltd., London, 2011

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T06:14:29.854676Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation cfa70ecc-bb01-46dc-bc14-de929f19fd94 · outbound

This paper cites Scand.95(2004), no.

Trees whose path ideals have linear quotients Scand.95(2004), no

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T06:14:29.699349Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 0671b942-8ebe-4f9f-abf2-630af756dee7 · outbound

This paper cites 2, 277–294, The Roos Festschrift volume, 2.

Trees whose path ideals have linear quotients 2, 277–294, The Roos Festschrift volume, 2

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T06:14:29.313141Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation a26b39df-1028-428b-8c92-043a152a2d17 · outbound

This paper cites an unresolved cited work.

Trees whose path ideals have linear quotients Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-08-07T06:14:29.099600Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation f56e0fe2-5db8-427c-bfaf-bfd7eea04506 · outbound

This paper cites an unresolved cited work.

Trees whose path ideals have linear quotients Unresolved cited work

Reference 19

Resolution: unresolved; raw_fallback, observed 2026-08-07T06:14:28.897867Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation d500696e-81e1-4ef8-990f-bcee0e60e941 · outbound

This paper cites an unresolved cited work.

Trees whose path ideals have linear quotients Unresolved cited work

Reference 20

Resolution: unresolved; raw_fallback, observed 2026-08-07T06:14:28.653158Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation eac30736-7e22-49d3-9a6a-9e58bfab24a2 · outbound

This paper cites an unresolved cited work.

Trees whose path ideals have linear quotients Unresolved cited work

Reference 21

Resolution: unresolved; raw_fallback, observed 2026-08-07T06:14:28.391441Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 46f84a17-1a2b-441b-bc75-adffbc078c2e · outbound

This paper cites Pure Appl.

Trees whose path ideals have linear quotients Pure Appl

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T06:14:28.085947Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation d0b57ae5-23cc-40ec-af9e-2f4963531f2e · outbound

This paper cites 2, 257–265.

Trees whose path ideals have linear quotients 2, 257–265

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T06:14:27.766101Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation f84300c8-009b-4024-8342-9e8087dc353f · outbound

This paper cites Villarreal,Cohen-Macaulay graphs, Manuscripta Math.66(1990), no.

Trees whose path ideals have linear quotients Villarreal,Cohen-Macaulay graphs, Manuscripta Math.66(1990), no

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T06:14:27.530517Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 516447d5-ff7f-4a4d-a548-428b45c47817 · outbound

This paper cites Algebra32(2004), no.

Trees whose path ideals have linear quotients Algebra32(2004), no

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T06:14:27.240283Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Pith citing papers

No inbound Pith citation observations are available.