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Paper Citation Record · LEDGER

Gapfree graphs and powers of edge ideals with linear quotients

As of 16 August 2026, this Paper Citation Record lists 24 of 24 outbound references and 1 inbound Pith citation observation for arXiv:2412.06467.

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

pith.paper-citation-record.v1
2412.06467 v2

Coverage vector

measured 24 of 24 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T19:45:09.030840Z

measured 25 of 25 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 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-11T22:35:12.793547Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-11T22:35:13.157279Z

Reference resolution

24 of 24 outbound references displayed

  • verified exact1
  • verified fuzzy23
  • unresolved0
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 3fc9c50e-8074-439b-9b0e-fc820ac7aa86 · outbound

This paper cites Banerjee, The regularity of powers of edge ideals, J.

Gapfree graphs and powers of edge ideals with linear quotients Banerjee, The regularity of powers of edge ideals, J

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T19:45:09.379289Z

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=2026-08-11T19:45:08.937296Z digest=sha256:a6f259e8c967b187c19883aae3b2453fd9e8966a6a20c562bccfd14716161523

Observation a276c5b1-92ae-437b-9122-f9125aead250 · outbound

This paper cites Banerjee, S.

Gapfree graphs and powers of edge ideals with linear quotients Banerjee, S

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T19:45:09.365757Z

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=2026-08-11T19:45:08.941811Z digest=sha256:ea0e939f85cea33af4c2a17f673f9d3a5a59ee944b60b23e078f56943d0c1949

Observation f086b47f-e148-4ddc-97b6-5e2a2029a396 · outbound

This paper cites Banerjee and E.

Gapfree graphs and powers of edge ideals with linear quotients Banerjee and E

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T19:45:09.352685Z

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=2026-08-11T19:45:08.945769Z digest=sha256:70513d7a5b8c89165d237f7ac110582cabdf83a4de3267147dcc3423525b962b

Observation a968f018-1c42-4ad6-9898-766eaa726bfd · outbound

This paper cites Banerjee and D.

Gapfree graphs and powers of edge ideals with linear quotients Banerjee and D

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T19:45:09.338197Z

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=2026-08-11T19:45:08.949701Z digest=sha256:b261b34ed01f203a69408eada42804c4da6958fc199c2df18f735e93d654a325

Observation 126e9c6a-5624-42cf-828f-952c9d9e80e9 · outbound

This paper cites Powers of Edge Ideals with Linear Quotients.

Gapfree graphs and powers of edge ideals with linear quotients Powers of Edge Ideals with Linear Quotients

Reference 5

Resolution
verified exact
local_arxiv, observed 2026-08-11T19:45:09.071227Z

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=2026-08-11T19:45:08.953955Z digest=sha256:c564c7a35c53eb22cf12870cd26da49fa9851097952a9050c87de9c14078e64e

Observation fc8da156-80c5-4461-880b-4241288101d7 · outbound

This paper cites Bigdeli, Edge ideals with almost maximal finite index and their power s, J.

Gapfree graphs and powers of edge ideals with linear quotients Bigdeli, Edge ideals with almost maximal finite index and their power s, J

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T19:45:09.325554Z

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=2026-08-11T19:45:08.958545Z digest=sha256:1dd08d1761c828a5fc64ce3bfa0ed73543ef157c6775fb1fd77c582eb6afd415

Observation a474c8de-bbd7-4edc-8456-8991de550ac1 · outbound

This paper cites Dochtermann and A.

Gapfree graphs and powers of edge ideals with linear quotients Dochtermann and A

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T19:45:09.311569Z

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=2026-08-11T19:45:08.962893Z digest=sha256:4c5026ad9da2b2d87065d4880b9dda55b549ae3e1f2e0ccb659b8726d9f5d33b

Observation f35c1375-b31c-4904-9b9c-b317e9af1f5e · outbound

This paper cites Engstr¨ om and M.

Gapfree graphs and powers of edge ideals with linear quotients Engstr¨ om and M

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T19:45:09.299627Z

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=2026-08-11T19:45:08.966738Z digest=sha256:dc34fd8909bc669b4dfd5d4866c4cf6319dc0628054bbe0dd87225ff54b4abb1

Observation 89757ea3-5a08-4f4c-a4fe-bb22ca21ffa2 · outbound

This paper cites Erey, Powers of edge ideals with linear resolutions, Comm.

Gapfree graphs and powers of edge ideals with linear quotients Erey, Powers of edge ideals with linear resolutions, Comm

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T19:45:09.287034Z

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=2026-08-11T19:45:08.970619Z digest=sha256:cb32004536a28ae6391ecfab663ca507a0caced69a5e6dc6ac5540ae6d98c814

Observation ceb0d157-2a64-4321-a4d2-eaa94213ad08 · outbound

This paper cites Erey, Powers of ideals associated to ( C4,2K2)-free graphs, J.

Gapfree graphs and powers of edge ideals with linear quotients Erey, Powers of ideals associated to ( C4,2K2)-free graphs, J

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T19:45:09.274147Z

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=2026-08-11T19:45:08.974232Z digest=sha256:46bb0ccc19f586a3192250b791192833349d223afbe49fc990538a0775d1c2e1

Observation 9d8d5726-8d4c-4ae2-a4e1-b64717c321a5 · outbound

This paper cites Francisco, H.T.

Gapfree graphs and powers of edge ideals with linear quotients Francisco, H.T

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T19:45:09.260278Z

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=2026-08-11T19:45:08.978162Z digest=sha256:4f6a8b113dac3d34494cf0921522adf82961a257308de66a0d9c4e2e0e0b6fce

Observation 8c4e04b1-78b5-423a-ba77-89f71b9933a7 · outbound

This paper cites Fr¨ oberg, On Stanley-Reisner rings.

Gapfree graphs and powers of edge ideals with linear quotients Fr¨ oberg, On Stanley-Reisner rings

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T19:45:09.245097Z

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=2026-08-11T19:45:08.982101Z digest=sha256:6dcd006c2a021e2fa9ce971ea032d8a83c65d88bb88d5cfda9ecfbb650e6690d

Observation 641c8125-4e57-4a93-ae0a-6eeeac5f48dd · outbound

This paper cites Herzog and T.

Gapfree graphs and powers of edge ideals with linear quotients Herzog and T

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T19:45:09.232300Z

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=2026-08-11T19:45:08.986090Z digest=sha256:d0af156511b44ddc6aa5417a11ca745ff1330a5ffb7e6bd87d1886892e408e2f

Observation d29e62bd-3a69-4a2c-958a-ed839b3be5f9 · outbound

This paper cites Herzog, T.

Gapfree graphs and powers of edge ideals with linear quotients Herzog, T

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T19:45:09.219710Z

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=2026-08-11T19:45:08.989943Z digest=sha256:d17f45786fb73e6c3fd78d711ffd56509e190ad5a6afe6f7cc9e1e4323c9616e

Observation 73e1439f-e27f-4147-9629-0254810b7e91 · outbound

This paper cites Hoang, H.D.

Gapfree graphs and powers of edge ideals with linear quotients Hoang, H.D

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T19:45:09.206277Z

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=2026-08-11T19:45:08.993757Z digest=sha256:3e0042776fc824dca3ce8e0ca61f7a4d6a7aa2c182fdd2fcd5c6078eef2730a0

Observation 0fa3b8f9-5d7d-4087-a7a1-8a3377db3560 · outbound

This paper cites Lam, N.V.

Gapfree graphs and powers of edge ideals with linear quotients Lam, N.V

Reference 16

Resolution
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raw_fallback, observed 2026-08-11T19:45:09.193816Z

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=2026-08-11T19:45:08.997765Z digest=sha256:f237558cd996f0db511bb100491c5a33068ca412fa448f977bc162218abf9292

Observation c8e4e69a-8836-4daf-abf2-566d367dbfc6 · outbound

This paper cites Minh and T.

Gapfree graphs and powers of edge ideals with linear quotients Minh and T

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T19:45:09.180956Z

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=2026-08-11T19:45:09.001547Z digest=sha256:3417cd992111c4605babc31a6587ca69cc033c70ed55cfbabfd2e9f9ca62837c

Observation 66f8a3e3-127f-40ac-aa95-301bed29bec6 · outbound

This paper cites Nevo and I.

Gapfree graphs and powers of edge ideals with linear quotients Nevo and I

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T19:45:09.167803Z

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=2026-08-11T19:45:09.006117Z digest=sha256:820410caf99fe66d343f767f3ff6cb7fd7d730b94b76123743d179996073317c

Observation bfd84e8a-47ea-4131-8ae5-70cbb5bb6187 · outbound

This paper cites Peeva, Binomial edge ideals over an exterior algebra, Math.

Gapfree graphs and powers of edge ideals with linear quotients Peeva, Binomial edge ideals over an exterior algebra, Math

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T19:45:09.154452Z

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=2026-08-11T19:45:09.010115Z digest=sha256:15fbbd6f4cdffaf348235528b23b5a1e41c361e465a03eebc72124fa4cb912e0

Observation d2588aef-2163-412b-b090-b16b82704145 · outbound

This paper cites Peeva, Closed binomial edge ideals, J.

Gapfree graphs and powers of edge ideals with linear quotients Peeva, Closed binomial edge ideals, J

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T19:45:09.139883Z

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=2026-08-11T19:45:09.014039Z digest=sha256:7ad94c45b2d8f6297f8122bd97f486e93a67c870e9cc23010e4f4213a86ae2ae

Observation 735704b8-3c77-4977-bff0-868c77344294 · outbound

This paper cites Seyed Fakhari, Lower bounds for the depth of the second power of edge ideals, Collect.

Gapfree graphs and powers of edge ideals with linear quotients Seyed Fakhari, Lower bounds for the depth of the second power of edge ideals, Collect

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T19:45:09.125342Z

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=2026-08-11T19:45:09.018208Z digest=sha256:91f461e7d5c509b40798f079fdd07c1ab899b3f2e4bfffdba85cc81f05831a98

Observation a70901cd-b658-4f52-9a51-be41e14f99f7 · outbound

This paper cites Seyed Fakhari, On the Castelnuovo-Mumford regularity of squarefree powers of edge ideals, J.

Gapfree graphs and powers of edge ideals with linear quotients Seyed Fakhari, On the Castelnuovo-Mumford regularity of squarefree powers of edge ideals, J

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T19:45:09.111478Z

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=2026-08-11T19:45:09.022164Z digest=sha256:45c7997de71e522833c9da6b23160381e1dbb1a668113e06817fe264468b1ffa

Observation 86cbb1ea-3412-4aad-a1d4-6d29076fb895 · outbound

This paper cites Villarreal, A duality theorem for the ic-resurgence of edge id eals, European J.

Gapfree graphs and powers of edge ideals with linear quotients Villarreal, A duality theorem for the ic-resurgence of edge id eals, European J

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T19:45:09.097705Z

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=2026-08-11T19:45:09.026840Z digest=sha256:bd957e28cbe1239a483826c2cd5551a79ac9abca289b627ea73c73215779d5ff

Observation d8bad2eb-521c-4b4a-a19e-f4f754cb6b5d · outbound

This paper cites Villarreal, Monomial algebras, Monogr.

Gapfree graphs and powers of edge ideals with linear quotients Villarreal, Monomial algebras, Monogr

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T19:45:09.085030Z

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=2026-08-11T19:45:09.030840Z digest=sha256:78401d63e3fb39158711e76b69d11f31506515916ce8fd248dd2963b1bf330d0

Pith citing papers

Observation 9ec3303a-ea70-4e96-9fd3-4e1b27a0c204 · inbound

Powers of Edge Ideals with Linear Quotients cites this paper.

Powers of Edge Ideals with Linear Quotients Gapfree graphs and powers of edge ideals with linear quotients

Reference 12

Resolution
verified exact
local_arxiv, observed 2026-08-11T22:35:13.163458Z

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=2026-08-11T22:35:12.793547Z digest=sha256:ee67c72b44bf62d3c96d96901d7b2c79cc5918dcc180140ba8a1364ddaa03947