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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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-11T19:45:08.937296Z digest=sha256:618c278429d68af1ca2c84022c444a7b8ca291939897a7de70ce687188006c28

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-11T19:45:08.941811Z digest=sha256:b0a753a91075a13476fe92252f02a2d21f130c761113854dbc7a058f1e8f5ee7

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-11T19:45:08.945769Z digest=sha256:1cb98e9838e144296cd26fdb25a48954df37731a292403622dfa4ebb3b2bebba

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

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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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-11T19:45:08.949701Z digest=sha256:ae189c8bdf938b614b0e687e122e35353f78663a7318b2c5fcb9824bab0b8724

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-11T19:45:08.953955Z digest=sha256:2e044306f062874074dcffd6a713e26adb40573e7142f19b3ed647368211b0a0

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-11T19:45:08.958545Z digest=sha256:fa4498037b6f4b894df427324a67330066b0287ec38f440a0bb673c8d0769173

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-11T19:45:08.962893Z digest=sha256:d126c12309a4e5e6538446347a141e3c22ce39ba22cc3a12bf05d2479bb08d05

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-11T19:45:08.966738Z digest=sha256:e098494eb902278fc21934e8109578fe1f20656acc746a428d4bbdfc45e468ee

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-11T19:45:08.970619Z digest=sha256:bbac8d201bc8efd49f5a86e6beb901585640e4960ecf08f26645a785206249a8

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-11T19:45:08.974232Z digest=sha256:0b87ef4f65c65c1836f3b810847cf63bc438ea568294d199fb6dee205ce3c37a

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

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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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-11T19:45:08.978162Z digest=sha256:8a270f1f363380ab223e33b59c4367ace69660d872998fd6c8dc958f2f29e896

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-11T19:45:08.982101Z digest=sha256:230f13bacca4d6cb41f477b5167755a432289d79ceb483559cdda6d9b66552d0

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-11T19:45:08.986090Z digest=sha256:6015cda546d668138d190068a7be2a4ba8b148a2ea9eca2d57fc9b48fdded16b

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-11T19:45:08.989943Z digest=sha256:7a2fdc9f4a560031ab8cce8724f6abf7645c34223339492e8f4ab8416dc6c43f

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-11T19:45:08.993757Z digest=sha256:82c64ea7546166eab131baf91924f181d7bf697ac4c1759c83af60020ed61a04

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

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verified fuzzy
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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-11T19:45:08.997765Z digest=sha256:fa9471c898e6dfc46dd8c36ea8180bfe33e89310c37bf36387cb407a177753db

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
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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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-11T19:45:09.001547Z digest=sha256:54581e7e6c3562feec655652a7fc7437670572521ffc5b4d88080e5c95e061a9

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-11T19:45:09.006117Z digest=sha256:fe83682146c2838dcaa58032987d51e97930e7a73da32cfa78925acdc591d3b1

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-11T19:45:09.010115Z digest=sha256:ec9ac7a10bc94a21162dab69a62473f317fe6e3dcee5db6147fccd0ddb507631

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-11T19:45:09.014039Z digest=sha256:b3dc2bd156db499a42c205a9f9e5c58592bb46affce64e043e96ec0e41678778

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-11T19:45:09.018208Z digest=sha256:395d6746150bd1bb892544512e02a87e7f69a81682916d7b269c2333172791e3

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-11T19:45:09.022164Z digest=sha256:a1c17557a626f7ac2a443b6fafad4ad4bf05f0b83c163b93a4a86a8e49cf477e

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-11T19:45:09.026840Z digest=sha256:2a237bc97a0fb33869c7cba0716a491e9524bcfc2015d2f45d23b7a0f3cfb868

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-11T19:45:09.030840Z digest=sha256:ad30ebc09e8a2b9ad99a4b5024b3554b8a20396b017ac1733c051bdf063fa41f

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

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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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-11T22:35:12.793547Z digest=sha256:266dfd5681b4f5604ee756bdc10195d53159618a1a117f638cd11ff669cbff64