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Paper Citation Record · LEDGER

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

As of 8 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 2026-08-07T06:34:17.273281+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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:49:09.918454Z digest=sha256:3a08c70abc40a77611ddb816614fc7c7167f63012f8c15d676d9b96d85e159ab

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:49:10.030608Z digest=sha256:ebc639793312a72cd8559f84e3017715541c1111d52c36e34403d58c70c83f6c

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:49:10.163407Z digest=sha256:22327a067032c47645779aa8caf1d60dc0be9daeb0e7a88f06c65a5037bc9da9

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:49:10.281354Z digest=sha256:4020cf15781e2da1f4a1413b5396bd24834c199abe36300abb8cfccfdb183323

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:49:10.390664Z digest=sha256:85486d7f419e1cbd8030956cec017c9e44f0f75078226378026de14cbc041242

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:49:10.568932Z digest=sha256:594af4d3830ed305b396852911a2314f25ef930bf285506cebda8e2559c3d665

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:49:10.703964Z digest=sha256:624b568dcc2544470c8087148f8d43130a23adcfe61f82867d8b7209839c7758

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:49:10.828729Z digest=sha256:fd7c309500adc4a16bf0f8aeeacd2ef55290242d950447b9c0ce6bffd2dc4a96

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:49:11.013705Z digest=sha256:d9b58c95a6b8182ea1334ca1efdec4656af6f5566206e61efb2cdaf82db82a0a

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:49:11.108565Z digest=sha256:ddac02882378d2f2439675d6645f223d92f78d015f758f652e656e88e0f6f5b9

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=sha256:7fc054367c6053b561a0ecf0983dd67644aab758e96143cd71843d3e25472ca1

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:49:11.300077Z digest=sha256:168d09038d73f43b3e1a2e8c970c9919ac841cfc0411ddeafbf42b719594a489

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:49:11.441213Z digest=sha256:0b4f5e24980fad22fbb5eda9a77ad57a0ecd1d1987b6f593b61d882c098b397f

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:49:11.590021Z digest=sha256:0159d9533071aca1400d308fe5bf7fc81c740722a067934655e11c5ff1e8adf5

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:49:11.710667Z digest=sha256:5a093fe94dd29bd5549dc1f508e7b44a15417274e21b1c2df3dbe2a1e81c872a

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:49:11.816920Z digest=sha256:db85a0fa8a9676e2da8459c5bfb57e05e153b23540ea759a0312a2e19f8352e2

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:49:11.927515Z digest=sha256:69a52926335f77b245af312085696f8dc7bce01713c0b1748287c000673cca51

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:49:12.018531Z digest=sha256:77650409733fb75edc9a575b26829363613a7523691ae275b8c625e66a76b456

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:49:12.141613Z digest=sha256:93e972b8b5b240afb7a228943302b3c7230f279d17916efc6570c041a59c50fe

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:49:12.287924Z digest=sha256:489b899435174f652de89723fb4c08a378cd7c7af5534402323f310e61089a74

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:49:12.402768Z digest=sha256:5bb0982cb10913cfb0c707a5ea5857bb4998710c315aca19f5a3677eca2bf92d

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:49:12.529967Z digest=sha256:f42f7c9a72b5229d6948e2e7853dfa2672088ae317227d47b88f619a6446c48e

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:49:12.629764Z digest=sha256:a9d2de93b7b327604511521d62fa400c666c8f8064753abb30fd4a9319904212

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:49:12.763894Z digest=sha256:f198cc44797e1f318a34b7b91c4c38ce3b379f63a8646b38d7191214fa226e43

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:49:12.886193Z digest=sha256:194917610baf7a3851bd1f8e9beeda44751ad545dab3453469f46136adc94269

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:49:13.029404Z digest=sha256:e5f6cec94f9b51a05e2a1b5a2181be53fabadd9fc818f3eadfa02cfead2edf22

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:49:13.125000Z digest=sha256:42e107fcbec4b3d3293f84c0354689b7b7fe91eb0a311e9c6b9205051d5b7f10

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:49:13.241030Z digest=sha256:ff9489db897140b7294fd7ea45d6587b2a7c1c0e366f077e9c72427d35bc14d2

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:49:13.374652Z digest=sha256:e6e02013d4f709a583478ea7999b1f6764a5bbe9099b17c6e15c91c0e63b84c7

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:49:13.478954Z digest=sha256:f0df261ac564edb1527bbffdf0e857431057acea9300de4c0b9bd657c77ce929

Pith citing papers

No inbound Pith citation observations are available.