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Paper Citation Record · LEDGER

On the homological shifts of cover ideals of Cohen-Macaulay graphs

As of 15 August 2026, this Paper Citation Record lists 30 of 30 outbound references and 0 inbound Pith citation observations for arXiv:2506.01810.

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

pith.paper-citation-record.v1
2506.01810 v1

Coverage vector

measured 30 of 30 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T11:49:13.478954Z

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 exact4
  • verified fuzzy17
  • unresolved9
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation f22821c9-c165-4f0a-bfb2-8d5ebdd2e6e8 · outbound

This paper cites an unresolved cited work.

On the homological shifts of cover ideals of Cohen-Macaulay graphs Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:49:21.084314Z

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=2026-08-07T11:49:09.918454Z digest=sha256:424387e884b73e109b0ea41000bac1d47cfee8c2d336bf183e1e8ddda2484dbf

Observation 8a8b53d5-2ae0-49b7-923e-92fd7619c86c · outbound

This paper cites an unresolved cited work.

On the homological shifts of cover ideals of Cohen-Macaulay graphs Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:49:20.883086Z

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=2026-08-07T11:49:10.030608Z digest=sha256:a8702b9369ce237ab639b94f31bc0e0557615ffdda36ee98a60c901448ec4942

Observation a64cbfe7-35d1-4941-8df0-16c39c6593fd · outbound

This paper cites an unresolved cited work.

On the homological shifts of cover ideals of Cohen-Macaulay graphs Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:49:20.695684Z

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=2026-08-07T11:49:10.163407Z digest=sha256:860b512b41a47df13e9c04d3e32b059591e701c1fe2c71a6dc98d0fac39ebaad

Observation 69eed1b2-42ac-4997-bd67-60652033aac5 · outbound

This paper cites Bayati, I.

On the homological shifts of cover ideals of Cohen-Macaulay graphs Bayati, I

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:49:20.392180Z

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=2026-08-07T11:49:10.281354Z digest=sha256:1a54582f8c1466df8a5770eb10b123130ff6127456bdbc2150676907eb49af3f

Observation b6d37cd1-ee2f-401c-8808-972a5c50daae · outbound

This paper cites an unresolved cited work.

On the homological shifts of cover ideals of Cohen-Macaulay graphs Unresolved cited work

Reference 5

Resolution
verified exact
raw_fallback, observed 2026-08-07T11:49:14.399905Z

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=2026-08-07T11:49:10.390664Z digest=sha256:08f963828576b728371abf81e207d846a08ee6c07ed1af9630600ce82d3b1e91

Observation aa048865-0fd2-4f5c-993b-ce56ced54705 · outbound

This paper cites Cook, II and U.

On the homological shifts of cover ideals of Cohen-Macaulay graphs Cook, II and U

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:49:20.064435Z

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=2026-08-07T11:49:10.568932Z digest=sha256:ffa155d63f67a65db078e28a62291eaf4c9f6c0d6ee2c2d8eb728ed39aa37287

Observation 79d8695f-0479-4587-bc88-4bafe50b5051 · outbound

This paper cites Crupi and A.

On the homological shifts of cover ideals of Cohen-Macaulay graphs Crupi and A

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:49:19.680639Z

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=2026-08-07T11:49:10.703964Z digest=sha256:669cbf629f197225e445509cbd4bf29330efca42608922601def4b1a0e7b3b3f

Observation 6411d15d-9c28-4c5b-acb1-1c440ced5d26 · outbound

This paper cites Crupi and A.

On the homological shifts of cover ideals of Cohen-Macaulay graphs Crupi and A

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:49:19.447695Z

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=2026-08-07T11:49:10.828729Z digest=sha256:24b97970578d81786be7d4a2f46160cdb6fe25cff731f7b52eb51510b77ec6c1

Observation 54f2e2f4-772a-4edd-ad2c-db8307fbb8ff · outbound

This paper cites an unresolved cited work.

On the homological shifts of cover ideals of Cohen-Macaulay graphs Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:49:19.120666Z

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=2026-08-07T11:49:11.013705Z digest=sha256:ea896871b6b210f83026d875dbcdfda9ef4b6d5989c5307d136cbc10c90a4a18

Observation 34148629-520e-482a-b69c-e20af401cad1 · outbound

This paper cites an unresolved cited work.

On the homological shifts of cover ideals of Cohen-Macaulay graphs Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:49:18.839347Z

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=2026-08-07T11:49:11.108565Z digest=sha256:c0c9362c5d782d45458bc307d8f90664993ab4dc1e5ea41a906df889bb72e6bf

Observation c4cfc371-5d97-4c48-9f06-a065667c666b · outbound

This paper cites Homological shifts of polymatroidal ideals.

On the homological shifts of cover ideals of Cohen-Macaulay graphs Homological shifts of polymatroidal ideals

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-07T11:49:11.213702Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T11:49:11.213702Z digest=sha256:9ad12f5bbfe7d12bc51faa6f80a84aca1fdcb2a37deb29037cd7b405bc0c121e

Observation d4a189da-261c-4020-913a-975c1d4eeb1f · outbound

This paper cites Ficarra and J.

On the homological shifts of cover ideals of Cohen-Macaulay graphs Ficarra and J

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:49:18.602747Z

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=2026-08-07T11:49:11.300077Z digest=sha256:e478beda8f2a8106019c6d58080940f3784d0141251e764dedae828dfe48d134

Observation 67722b36-11b8-49ad-9c86-22d68a90bc16 · outbound

This paper cites The homological shift algebra of a monomial ideal.

On the homological shifts of cover ideals of Cohen-Macaulay graphs The homological shift algebra of a monomial ideal

Reference 13

Resolution
verified exact
local_arxiv, observed 2026-08-07T11:49:14.054983Z

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=2026-08-07T11:49:11.441213Z digest=sha256:1c2e137f88af9b6cc6c44a0d72f3b48e03d478539c6274307b117d2ffe856741

Observation 660c9af8-4a04-4e23-a428-614f9151d155 · outbound

This paper cites Edge ideals and their asymptotic syzygies.

On the homological shifts of cover ideals of Cohen-Macaulay graphs Edge ideals and their asymptotic syzygies

Reference 14

Resolution
verified exact
local_arxiv, observed 2026-08-07T11:49:13.809417Z

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=2026-08-07T11:49:11.590021Z digest=sha256:c3dfc9f76a1a8175e392579060a73fc8d39c6c4f491e469a76ad6724fdd0504c

Observation 75725241-5437-4c20-ab65-fe11171436b1 · outbound

This paper cites an unresolved cited work.

On the homological shifts of cover ideals of Cohen-Macaulay graphs Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:49:18.349692Z

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=2026-08-07T11:49:11.710667Z digest=sha256:740d920669f9d80ea9c03c41c59a722f67bd8bc4202e1dc33e386d6f499ba6b4

Observation ecb8a1e3-8f11-487b-a68f-c94717e430b4 · outbound

This paper cites Herzog and T.

On the homological shifts of cover ideals of Cohen-Macaulay graphs Herzog and T

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:49:18.073946Z

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=2026-08-07T11:49:11.816920Z digest=sha256:624caafdc4d9a20bff79a05eff5127f482e4e3f99f8c2c11b4c5a42588c530d4

Observation 581e5072-9eee-4821-94f3-fa3648013016 · outbound

This paper cites Herzog, T.

On the homological shifts of cover ideals of Cohen-Macaulay graphs Herzog, T

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:49:17.776520Z

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=2026-08-07T11:49:11.927515Z digest=sha256:7057728dcd55513914092560423212ef0d8e3b6b41ee6538c33ddd24d23f3e42

Observation 5905f976-a0f1-4f52-bbcf-a86393952e99 · outbound

This paper cites Herzog, S.

On the homological shifts of cover ideals of Cohen-Macaulay graphs Herzog, S

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:49:17.395108Z

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=2026-08-07T11:49:12.018531Z digest=sha256:4191c434ee7b7482dcd55c582e4016cafac015ba76a54d2a903313f8035406dc

Observation a7ae2a74-de0c-4be0-b339-c1d40e93c296 · outbound

This paper cites Herzog, S.

On the homological shifts of cover ideals of Cohen-Macaulay graphs Herzog, S

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:49:17.025614Z

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=2026-08-07T11:49:12.141613Z digest=sha256:f4ad9bb116aacf404df271ba73964c7466473b32a9d6a097b37c65a20c37d54d

Observation 60bdbd49-5550-4260-bca4-7a37576a7790 · outbound

This paper cites an unresolved cited work.

On the homological shifts of cover ideals of Cohen-Macaulay graphs Unresolved cited work

Reference 20

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:49:16.759016Z

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=2026-08-07T11:49:12.287924Z digest=sha256:80ec88bd281defada772f259a3d21790f94f8e80dc34809f63704c370e797265

Observation 0368e388-a26c-48c7-8958-1f38df1bf232 · outbound

This paper cites Kimura, M.

On the homological shifts of cover ideals of Cohen-Macaulay graphs Kimura, M

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:49:16.478155Z

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=2026-08-07T11:49:12.402768Z digest=sha256:3fca6568c22a54430665d61fe46ece4ee61bf70455be8e6801e07f27ea04238a

Observation 3b03fd4f-fb87-4a01-8ac6-714c6007ed2d · outbound

This paper cites Kokubo and T.

On the homological shifts of cover ideals of Cohen-Macaulay graphs Kokubo and T

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:49:16.220817Z

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=2026-08-07T11:49:12.529967Z digest=sha256:a940a72fc7bc6880f90854feb36565f6c3891ec214636db183ca2553727f79a9

Observation 12660410-dee2-47db-a48a-038f404002c4 · outbound

This paper cites Lu and Z.

On the homological shifts of cover ideals of Cohen-Macaulay graphs Lu and Z

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:49:15.998475Z

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=2026-08-07T11:49:12.629764Z digest=sha256:0ae72a20e4666522fe087b66af45610c814f1cb07a203c3e5ad5605bebbc5413

Observation 32666ece-dbe7-47d0-b087-0c52cfb891c5 · outbound

This paper cites Miller and B.

On the homological shifts of cover ideals of Cohen-Macaulay graphs Miller and B

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:49:15.724744Z

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=2026-08-07T11:49:12.763894Z digest=sha256:efc457667182fe674c268081d736d57068eaa04f7bf315d99762f332f664aeec

Observation 484bdda3-ba23-4918-89de-d71b7f13d6d4 · outbound

This paper cites Mohammadi and S.

On the homological shifts of cover ideals of Cohen-Macaulay graphs Mohammadi and S

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:49:15.504434Z

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=2026-08-07T11:49:12.886193Z digest=sha256:009739b94fd602e089d3328024d99a5f5940b6b1fc6a0554ff1ba3f423dde7d0

Observation 83c4a02a-a4b4-4305-8c13-2834117c0eac · outbound

This paper cites Moradi and F.

On the homological shifts of cover ideals of Cohen-Macaulay graphs Moradi and F

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:49:15.300948Z

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=2026-08-07T11:49:13.029404Z digest=sha256:e83c8e059bbf7ba68570435ef46e47f6e966f61ef96d53c1d3baeb4192ab778b

Observation f8e75d43-7cfc-4d42-81a0-68b5f8bf8f8b · outbound

This paper cites Muta and N.

On the homological shifts of cover ideals of Cohen-Macaulay graphs Muta and N

Reference 27

Resolution
verified exact
raw_fallback, observed 2026-08-07T11:49:13.671104Z

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=2026-08-07T11:49:13.125000Z digest=sha256:0495c37bb84a31d0fd820648ae85ffd5ec5ff0e3055d73c60262bbe257e2ca23

Observation 730cfdd1-91b3-41a0-9cd4-d80318a0dd3f · outbound

This paper cites Taghipour, S.

On the homological shifts of cover ideals of Cohen-Macaulay graphs Taghipour, S

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:49:15.132853Z

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=2026-08-07T11:49:13.241030Z digest=sha256:4f681735cabe9006400406b692fa12d9439847fde494bc4a5f99d29cea208236

Observation c9598474-e995-45c0-887e-9901c5a9b15e · outbound

This paper cites an unresolved cited work.

On the homological shifts of cover ideals of Cohen-Macaulay graphs Unresolved cited work

Reference 29

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:49:15.004312Z

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=2026-08-07T11:49:13.374652Z digest=sha256:aff5b867095516e966b1b441dc2c664f478e98500c4e0dc1660a8e63ca181f1d

Observation 77bf9796-4157-4b61-9282-3b0edc9d805f · outbound

This paper cites Woodroofe.

On the homological shifts of cover ideals of Cohen-Macaulay graphs Woodroofe

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:49:14.730869Z

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=2026-08-07T11:49:13.478954Z digest=sha256:cf90ed92a54881f71acfcc5713c5527718ba93bef70a19402c6f0ab4255748bb

Pith citing papers

No inbound Pith citation observations are available.