Paper Citation Record · LEDGER

Monomial ideals with minimal generalized Barile-Macchia resolutions

As of 20 August 2026, this Paper Citation Record lists 30 of 30 outbound references and 1 inbound Pith citation observation for arXiv:2412.11843.

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

pith.paper-citation-record.v1
2412.11843 v1

Coverage vector

measured 30 of 30 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-23T07:30:41.770740Z

measured 31 of 31 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-08T16:43:05.442243Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-08T16:43:05.932020Z

Reference resolution

30 of 30 outbound references displayed

verified exact4
verified fuzzy16
unresolved10
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 9723f13c-c562-47cc-b0af-98d3f6254709 · outbound

This paper cites Algebra 541 (2020), 126–145.

Monomial ideals with minimal generalized Barile-Macchia resolutions Algebra 541 (2020), 126–145

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-05-23T08:05:30.958504Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 0d687674-3c26-4ccf-aeb6-c00a57d19e55 · outbound

This paper cites an unresolved cited work.

Monomial ideals with minimal generalized Barile-Macchia resolutions Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-05-23T08:05:30.987693Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation d0f5d25a-cea2-4aa4-9e7b-c99e47e72f25 · outbound

This paper cites Reine Angew.

Monomial ideals with minimal generalized Barile-Macchia resolutions Reine Angew

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-05-23T08:05:30.943818Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation a129a323-c5cc-4f76-b77f-3c3615be8faf · outbound

This paper cites an unresolved cited work.

Monomial ideals with minimal generalized Barile-Macchia resolutions Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-05-23T08:05:30.976144Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 5205aec6-6374-46b6-a89c-631c1d96172b · outbound

This paper cites Reine Angew.

Monomial ideals with minimal generalized Barile-Macchia resolutions Reine Angew

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-05-23T08:05:30.979705Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation f43238c5-f868-4603-a2c0-1dccd343cd2d · outbound

This paper cites an unresolved cited work.

Monomial ideals with minimal generalized Barile-Macchia resolutions Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-05-23T08:05:30.986222Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation adeaddd7-5993-429c-9948-b84b84b174c0 · outbound

This paper cites 8, 2411–2425.

Monomial ideals with minimal generalized Barile-Macchia resolutions 8, 2411–2425

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-05-23T08:05:30.951342Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 6394c1ee-7689-4196-a9f7-09837992d182 · outbound

This paper cites 3, 437–455.

Monomial ideals with minimal generalized Barile-Macchia resolutions 3, 437–455

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-05-23T08:05:30.931811Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 4b5144e5-2f9f-47d3-a07c-ea050539edee · outbound

This paper cites 1, 2, 3, 9, 10, 12, 15.

Monomial ideals with minimal generalized Barile-Macchia resolutions 1, 2, 3, 9, 10, 12, 15

Reference 9

Resolution: verified exact; arxiv_id, observed 2026-05-23T07:32:42.933367Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 60a1b3ee-5dc5-4546-bf76-3fe7fdcb6e61 · outbound

This paper cites Algebraic Combin.

Monomial ideals with minimal generalized Barile-Macchia resolutions Algebraic Combin

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-05-23T08:05:30.991125Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 8d624bae-da5b-4e6e-9517-52bce137a0fa · outbound

This paper cites Minimal Cellular Resolutions of Path Ideals.

Monomial ideals with minimal generalized Barile-Macchia resolutions Minimal Cellular Resolutions of Path Ideals

Reference 11

Resolution: verified exact; arxiv_id, observed 2026-05-23T07:32:42.945523Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 795282a0-afff-4b4f-9127-95def3a46b5c · outbound

This paper cites an unresolved cited work.

Monomial ideals with minimal generalized Barile-Macchia resolutions Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-05-23T08:05:30.999776Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 493c0d81-09a4-46ea-8a5f-6ccad10c3a2d · outbound

This paper cites Simplicial Resolutions of Powers of Square-free Monomial Ideals.

Monomial ideals with minimal generalized Barile-Macchia resolutions Simplicial Resolutions of Powers of Square-free Monomial Ideals

Reference 13

Resolution: verified exact; arxiv_id, observed 2026-05-23T07:32:42.939725Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 34abc5a4-2653-4b05-9ba2-cabdd9f25be2 · outbound

This paper cites an unresolved cited work.

Monomial ideals with minimal generalized Barile-Macchia resolutions Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-05-23T08:05:30.978834Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 2843e9b9-1e53-4b57-9985-90b790626acb · outbound

This paper cites an unresolved cited work.

Monomial ideals with minimal generalized Barile-Macchia resolutions Unresolved cited work

Reference 15

Resolution: verified exact; arxiv_id, observed 2026-05-23T07:32:42.951120Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation d8d23f89-b27c-4e68-b080-ee69fe5c3990 · outbound

This paper cites 2, 57–70 (eng).

Monomial ideals with minimal generalized Barile-Macchia resolutions 2, 57–70 (eng)

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-05-23T08:05:30.915829Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation d9474e4e-5985-48cb-9ba9-6aab0688037b · outbound

This paper cites Grayson and Michael E.

Monomial ideals with minimal generalized Barile-Macchia resolutions Grayson and Michael E

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-05-23T08:05:30.969059Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 82c5c0f6-652a-4dab-9d9e-b285b08b008f · outbound

This paper cites Algebraic Combin.

Monomial ideals with minimal generalized Barile-Macchia resolutions Algebraic Combin

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-05-23T08:05:30.962386Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 021bc6d1-984b-47fe-aa15-5835758097d5 · outbound

This paper cites 260, Springer- Verlag London, Ltd., London.

Monomial ideals with minimal generalized Barile-Macchia resolutions 260, Springer- Verlag London, Ltd., London

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-05-23T08:05:30.939937Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 12914c3e-6341-4914-856a-1621df51ef1a · outbound

This paper cites an unresolved cited work.

Monomial ideals with minimal generalized Barile-Macchia resolutions Unresolved cited work

Reference 20

Resolution: unresolved; raw_fallback, observed 2026-05-23T08:05:30.983799Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 0777ac23-b447-411a-8f10-830e54ee576b · outbound

This paper cites an unresolved cited work.

Monomial ideals with minimal generalized Barile-Macchia resolutions Unresolved cited work

Reference 21

Resolution: unresolved; raw_fallback, observed 2026-05-23T08:05:30.943573Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 164cd94a-571c-4a39-b704-961473b01244 · outbound

This paper cites Pure Appl.

Monomial ideals with minimal generalized Barile-Macchia resolutions Pure Appl

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-05-23T08:05:30.940324Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 1b81fe52-4199-4e08-9cce-c70c3c74ed96 · outbound

This paper cites an unresolved cited work.

Monomial ideals with minimal generalized Barile-Macchia resolutions Unresolved cited work

Reference 23

Resolution: unresolved; raw_fallback, observed 2026-05-23T08:05:30.907441Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation dbf36ce5-2abc-4a80-b6c2-a7f703f92329 · outbound

This paper cites McKay and Adolfo Piperno, Practical graph isomorphism, II , J.

Monomial ideals with minimal generalized Barile-Macchia resolutions McKay and Adolfo Piperno, Practical graph isomorphism, II , J

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-05-23T08:05:30.982844Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation abc3ec2e-e75e-463b-9ae5-0693b7269159 · outbound

This paper cites an unresolved cited work.

Monomial ideals with minimal generalized Barile-Macchia resolutions Unresolved cited work

Reference 25

Resolution: unresolved; raw_fallback, observed 2026-05-23T08:05:30.992843Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 324e0f52-0f30-4e3b-911d-767300ea1bcf · outbound

This paper cites an unresolved cited work.

Monomial ideals with minimal generalized Barile-Macchia resolutions Unresolved cited work

Reference 26

Resolution: unresolved; raw_fallback, observed 2026-05-23T08:05:30.958879Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 52ba2632-d3df-49f5-ae3b-77b171113bf1 · outbound

This paper cites thesis, University of Chicago, Department of Mathematics.

Monomial ideals with minimal generalized Barile-Macchia resolutions thesis, University of Chicago, Department of Mathematics

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-05-23T08:05:30.949220Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 50f26ac4-9d45-4283-9b75-e1c8a91810c7 · outbound

This paper cites 8), 2023, https://www.sagemath.org.

Monomial ideals with minimal generalized Barile-Macchia resolutions 8), 2023, https://www.sagemath.org

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-05-23T08:05:30.989734Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation a96fee43-f309-4033-8530-97e878f44634 · outbound

This paper cites Algebra 319 (2008), no.

Monomial ideals with minimal generalized Barile-Macchia resolutions Algebra 319 (2008), no

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-05-23T08:05:30.996209Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 731509b0-e2b1-4d4c-8672-20043149d1ab · outbound

This paper cites 66 (1990), no.

Monomial ideals with minimal generalized Barile-Macchia resolutions 66 (1990), no

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-05-23T08:05:30.994258Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Pith citing papers

Observation a0e7978d-055f-4b5d-908a-a755db913f81 · inbound

Minimal cellular resolutions of monomial ideals with five generators and their Artinian reductions cites this paper.

Minimal cellular resolutions of monomial ideals with five generators and their Artinian reductions Monomial ideals with minimal generalized Barile-Macchia resolutions

Reference 10

Resolution: verified exact; local_arxiv, observed 2026-08-08T16:43:05.939696Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.