Paper Citation Record · LEDGER

The homological shift algebra of a monomial ideal

As of 15 August 2026, this Paper Citation Record lists 40 of 40 outbound references and 3 inbound Pith citation observations for arXiv:2412.21031.

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

pith.paper-citation-record.v1
2412.21031 v3

Coverage vector

measured 40 of 40 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T23:22:37.973009Z

measured 43 of 43 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 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T15:17:08.061543Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-07T11:49:13.949383Z

Reference resolution

40 of 40 outbound references displayed

verified exact3
verified fuzzy26
unresolved11
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External citation measurements

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Outbound references

Observation c67d9594-f887-47c8-8f15-a9fdf8fd48e5 · outbound

This paper cites Abdolmaleki, J.

The homological shift algebra of a monomial ideal Abdolmaleki, J

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:22:38.695404Z

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.

Observation 5cab9981-7731-4317-a4f8-eb52e6e44ca1 · outbound

This paper cites an unresolved cited work.

The homological shift algebra of a monomial ideal Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-10T23:22:38.679693Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 0abb2c6c-6fc6-464f-9cb0-81b3103ec02e · outbound

This paper cites Bandari, Polymatroidal ideals and linear resolution , Journal of Algebraic Systems, 11(2024) 147-153.

The homological shift algebra of a monomial ideal Bandari, Polymatroidal ideals and linear resolution , Journal of Algebraic Systems, 11(2024) 147-153

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:22:38.664735Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 255517f3-e74b-4f9d-a42f-15b1ba158b1c · outbound

This paper cites Bandari, A.A.

The homological shift algebra of a monomial ideal Bandari, A.A

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:22:38.648395Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 57154359-5e80-41e0-bf97-057570f432e1 · outbound

This paper cites Bayati, Multigraded shifts of matroidal ideals , Arch.

The homological shift algebra of a monomial ideal Bayati, Multigraded shifts of matroidal ideals , Arch

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:22:38.630465Z

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.

Observation 82ca3955-36ae-4789-a3b7-4ee564a47039 · outbound

This paper cites Bayati, A Quasi-additive Property of Homological Shift Ideals.

The homological shift algebra of a monomial ideal Bayati, A Quasi-additive Property of Homological Shift Ideals

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:22:38.611991Z

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.

Observation 1f22d012-b3c4-477e-bc8f-113518870e5f · outbound

This paper cites Bayati, I.

The homological shift algebra of a monomial ideal Bayati, I

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:22:38.595186Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 3f332599-eb22-480e-891e-d5679d771fc2 · outbound

This paper cites Bigdeli, J.

The homological shift algebra of a monomial ideal Bigdeli, J

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:22:38.578268Z

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Observation 9a6b47fb-cdc4-43f5-ac85-8d642fdb3c2b · outbound

This paper cites an unresolved cited work.

The homological shift algebra of a monomial ideal Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-10T23:22:38.560293Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 49e373a9-ae85-446c-86b5-af0c4b78410b · outbound

This paper cites Conca, A note on the v-invariant , Proceedings of the American Mathematical Society, 2024, 152(6), pp.

The homological shift algebra of a monomial ideal Conca, A note on the v-invariant , Proceedings of the American Mathematical Society, 2024, 152(6), pp

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:22:38.545107Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation ba273581-a2e5-43f2-b370-7e1cc7966ac4 · outbound

This paper cites Cooper, A.

The homological shift algebra of a monomial ideal Cooper, A

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:22:38.530005Z

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Observation baa6ef69-38c4-428d-a6ae-e42e86354097 · outbound

This paper cites Crupi, A.

The homological shift algebra of a monomial ideal Crupi, A

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:22:38.513795Z

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.

Observation 6159049b-459a-44d4-a2de-32966f0f955e · outbound

This paper cites Crupi, A.

The homological shift algebra of a monomial ideal Crupi, A

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:22:38.496823Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 8ce7b9e6-57bc-4e3a-87bf-8dd7943274d0 · outbound

This paper cites Homological shifts of polymatroidal ideals.

The homological shift algebra of a monomial ideal Homological shifts of polymatroidal ideals

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-10T23:22:37.838791Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4f18feda-73bf-4591-a83f-fe54e2e73cea · outbound

This paper cites Ficarra, Simon conjecture and the v-number of monomial ideals , Collectanea Mathematica (2024): 1-16.

The homological shift algebra of a monomial ideal Ficarra, Simon conjecture and the v-number of monomial ideals , Collectanea Mathematica (2024): 1-16

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-10T23:22:37.844058Z

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Unavailable: canonical work link unavailable.

Observation ba5523a0-b4da-4b62-9d98-522003457a1a · outbound

This paper cites The canonical trace of Cohen-Macaulay algebras of codimension 2.

The homological shift algebra of a monomial ideal The canonical trace of Cohen-Macaulay algebras of codimension 2

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-10T23:22:37.848787Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 984c2d18-2040-4df8-b90b-cf91596a96a3 · outbound

This paper cites Homological Shift Ideals: Macaulay2 Package.

The homological shift algebra of a monomial ideal Homological Shift Ideals: Macaulay2 Package

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-10T23:22:37.854160Z

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Unavailable: canonical work link unavailable.

Observation d5cf138b-a4d0-4db1-a3a2-2e17d40f96f3 · outbound

This paper cites Ficarra, Shellability of componentwise discrete polymatroids , Electron.

The homological shift algebra of a monomial ideal Ficarra, Shellability of componentwise discrete polymatroids , Electron

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:22:38.479686Z

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.

Observation e5ac75d9-7e91-473d-8c47-3685e12e5eaf · outbound

This paper cites Ficarra, J.

The homological shift algebra of a monomial ideal Ficarra, J

Reference 19

Resolution: verified exact; doi, observed 2026-08-10T23:22:38.037873Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 1cfa0f6c-bb3b-403d-bf2d-8ae6308428d6 · outbound

This paper cites Edge ideals and their asymptotic syzygies.

The homological shift algebra of a monomial ideal Edge ideals and their asymptotic syzygies

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-10T23:22:37.869728Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e46b9fa9-c2ca-45bd-b207-206a1df56dd0 · outbound

This paper cites Asymptotic behaviour of the $\text{v}$-number of homogeneous ideals.

The homological shift algebra of a monomial ideal Asymptotic behaviour of the $\text{v}$-number of homogeneous ideals

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-10T23:22:37.875086Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation af0177cb-3700-4196-bdae-34eaac8edcd7 · outbound

This paper cites Ficarra, E.

The homological shift algebra of a monomial ideal Ficarra, E

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:22:38.463430Z

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.

Observation 4e45af62-861b-4089-92bb-008b12a6b7c2 · outbound

This paper cites Asymptotic behaviour of integer programming and the $\text{v}$-function of a graded filtration.

The homological shift algebra of a monomial ideal Asymptotic behaviour of integer programming and the $\text{v}$-function of a graded filtration

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-10T23:22:37.887962Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d1c79869-6325-45fe-81e9-73ece446fe61 · outbound

This paper cites Fiorindo, D.

The homological shift algebra of a monomial ideal Fiorindo, D

Reference 24

Resolution: verified exact; doi, observed 2026-08-10T23:22:38.017313Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation ef59b1a3-040e-4fd0-93c0-2a78fccf1375 · outbound

This paper cites Golod, On the homology of some local rings , Soviet Math.

The homological shift algebra of a monomial ideal Golod, On the homology of some local rings , Soviet Math

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:22:38.447340Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation c26acecc-6bb0-46b2-b418-3df88ca244bb · outbound

This paper cites an unresolved cited work.

The homological shift algebra of a monomial ideal Unresolved cited work

Reference 26

Resolution: unresolved; raw_fallback, observed 2026-08-10T23:22:38.431497Z

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Observation 347b51c4-7b8c-49f4-afa8-c26d207cae68 · outbound

This paper cites Herzog, T.

The homological shift algebra of a monomial ideal Herzog, T

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:22:38.415865Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 7cdf3164-8ba1-49a2-8998-d639a698bf4b · outbound

This paper cites Herzog, T.

The homological shift algebra of a monomial ideal Herzog, T

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:22:38.399842Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation a0620d5a-e02a-471a-a79c-108c2e074ea2 · outbound

This paper cites Herzog, C.

The homological shift algebra of a monomial ideal Herzog, C

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:22:38.381643Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation d8d9746a-a17b-429d-bb45-5af1512297f3 · outbound

This paper cites Herzog, S.

The homological shift algebra of a monomial ideal Herzog, S

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:22:38.364219Z

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.

Observation fbfad87f-6038-4d4c-a0a1-2d7e4517ebae · outbound

This paper cites Herzog, S.

The homological shift algebra of a monomial ideal Herzog, S

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:22:38.344452Z

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.

Observation a0e9d80f-6f82-4f57-98e4-176fb4965937 · outbound

This paper cites Herzog, V.

The homological shift algebra of a monomial ideal Herzog, V

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:22:38.324818Z

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.

Observation 1c2dd27a-f35f-4f62-819b-cf9d523535b9 · outbound

This paper cites Herzog, Y.

The homological shift algebra of a monomial ideal Herzog, Y

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:22:38.307173Z

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.

Observation 0d897680-5d28-4c10-b791-5032f0ff39eb · outbound

This paper cites Herzog, V.

The homological shift algebra of a monomial ideal Herzog, V

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:22:38.288095Z

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.

Observation 39e2d44f-af81-4c0e-a7a6-35202d674421 · outbound

This paper cites an unresolved cited work.

The homological shift algebra of a monomial ideal Unresolved cited work

Reference 35

Resolution: unresolved; raw_fallback, observed 2026-08-10T23:22:38.267169Z

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.

Observation 18c29363-5915-4a24-ac91-aeaa7c963d1e · outbound

This paper cites McAdam, P.

The homological shift algebra of a monomial ideal McAdam, P

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:22:38.249233Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation d4427650-62b3-48fa-9090-14afa4a57901 · outbound

This paper cites Miller, B.

The homological shift algebra of a monomial ideal Miller, B

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:22:38.230271Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation a149bc74-6f11-4ab0-a7d2-bd3eaeb4219a · outbound

This paper cites Taghipour, S.

The homological shift algebra of a monomial ideal Taghipour, S

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:22:38.210627Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 0e2e518b-7287-4374-bfc4-8f1b9f79e255 · outbound

This paper cites Trung, H.-J.

The homological shift algebra of a monomial ideal Trung, H.-J

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:22:38.191292Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 21bd453d-826d-4708-bc95-200904e438ca · outbound

This paper cites an unresolved cited work.

The homological shift algebra of a monomial ideal Unresolved cited work

Reference 108

Resolution: verified exact; doi, observed 2026-08-10T23:22:38.067050Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Pith citing papers

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

On the homological shifts of cover ideals of Cohen-Macaulay graphs cites this paper.

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

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 33d4703a-4c1c-4fbc-a19d-bca90add818e · inbound

Homological shift ideals of weighted oriented graphs cites this paper.

Homological shift ideals of weighted oriented graphs The homological shift algebra of a monomial ideal

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-04T13:26:52.315703Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 31f74948-1ff3-43bc-881b-3f663594aa16 · inbound

Homological shift ideals of weighted oriented graphs cites this paper.

Homological shift ideals of weighted oriented graphs The homological shift algebra of a monomial ideal

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-15T15:17:08.061543Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.