Paper Citation Record · LEDGER

Modules over posets: commutative and homological algebra

As of 16 August 2026, this Paper Citation Record lists 19 of 19 outbound references and 0 inbound Pith citation observations for arXiv:1908.09750.

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

pith.paper-citation-record.v1
1908.09750 v2

Coverage vector

measured 19 of 19 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T11:14:09.542969Z

measured 19 of 19 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 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

19 of 19 outbound references displayed

verified exact2
verified fuzzy2
unresolved9
parse uncertain0
malformed identifier2
metadata mismatch4

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation d1067a47-38b9-482c-b75d-4e0e188cae0e · outbound

This paper cites Abeasis and A.

Modules over posets: commutative and homological algebra Abeasis and A

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:14:09.855982Z

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.

Observation 408126fc-9678-4064-8ae9-d9d24c3a2bc5 · outbound

This paper cites Decomposition of persistence modules.

Modules over posets: commutative and homological algebra Decomposition of persistence modules

Reference 4

Resolution: metadata mismatch; local_arxiv, observed 2026-08-14T11:14:09.783854Z

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.

Observation 68dacba9-6639-4b0f-9349-3413c3d908c1 · outbound

This paper cites Functors on Posets Left Kan Extend to Cosheaves: an Erratum.

Modules over posets: commutative and homological algebra Functors on Posets Left Kan Extend to Cosheaves: an Erratum

Reference 8

Resolution: metadata mismatch; local_arxiv, observed 2026-08-14T11:14:09.719629Z

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.

Observation fdeb6450-0519-41da-960f-93994b63edce · outbound

This paper cites Piecewise linear sheaves.

Modules over posets: commutative and homological algebra Piecewise linear sheaves

Reference 13

Resolution: malformed identifier; local_arxiv, observed 2026-08-14T11:14:09.668181Z

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.

Observation 022f234f-4f21-40e1-815f-f1d7ef38dea1 · outbound

This paper cites Madden and Trevor McGuire, Neighbors, generic sets and Scarf-Buchberger hy- persurfaces, preprint,.

Modules over posets: commutative and homological algebra Madden and Trevor McGuire, Neighbors, generic sets and Scarf-Buchberger hy- persurfaces, preprint,

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:14:09.811968Z

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.

Observation 51ba5924-081e-4fa2-9f29-ffa97b6863f6 · outbound

This paper cites Neighbors, Generic Sets and Scarf-Buchberger Hypersurfaces.

Modules over posets: commutative and homological algebra Neighbors, Generic Sets and Scarf-Buchberger Hypersurfaces

Reference 16

Resolution: metadata mismatch; local_arxiv, observed 2026-08-14T11:14:09.636018Z

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.

Observation 8a82835d-afbf-4e34-826f-0d68c3a983db · outbound

This paper cites Data structures for real multiparameter persistence modules.

Modules over posets: commutative and homological algebra Data structures for real multiparameter persistence modules

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-14T11:14:09.529365Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7c1d68bd-33c8-4c9d-a473-5e6d8f591d83 · outbound

This paper cites A presentation of general multipersistence modules computable in polynomial time?.

Modules over posets: commutative and homological algebra A presentation of general multipersistence modules computable in polynomial time?

Reference 19

Resolution: metadata mismatch; local_arxiv, observed 2026-08-14T11:14:09.601595Z

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.

Observation 634d1608-c40d-43da-8b1e-26a0d7463e5f · outbound

This paper cites Persistent homology and microlocal sheaf theory.

Modules over posets: commutative and homological algebra Persistent homology and microlocal sheaf theory

Reference 990

Resolution: verified exact; local_arxiv, observed 2026-08-14T11:14:09.687252Z

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.

Observation 1e8af044-cdef-4289-8b09-dbf585df9cdd · outbound

This paper cites Stratifying multiparameter persistent homology.

Modules over posets: commutative and homological algebra Stratifying multiparameter persistent homology

Reference 1986

Resolution: unresolved; no resolver link, observed 2026-08-14T11:14:09.503692Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4f4fb1c6-6130-436b-86dd-a5095717c7e6 · outbound

This paper cites an unresolved cited work.

Modules over posets: commutative and homological algebra Unresolved cited work

Reference 1997

Resolution: malformed identifier; no resolver link, observed 2026-08-14T11:14:09.542969Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 13c9243f-0254-4a14-93ad-d6226e7c192a · outbound

This paper cites [NR72] L.

Modules over posets: commutative and homological algebra [NR72] L

Reference 2005

Resolution: unresolved; no resolver link, observed 2026-08-14T11:14:09.533819Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 748f0ba6-1b93-430c-9fbf-1fd0f9bcee88 · outbound

This paper cites an unresolved cited work.

Modules over posets: commutative and homological algebra Unresolved cited work

Reference 2010

Resolution: unresolved; raw_fallback, observed 2026-08-14T11:14:09.825849Z

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.

Observation ae75c9d4-5270-4165-8ad4-90180d20d541 · outbound

This paper cites Sheaves, Cosheaves and Applications.

Modules over posets: commutative and homological algebra Sheaves, Cosheaves and Applications

Reference 2014

Resolution: unresolved; no resolver link, observed 2026-08-14T11:14:09.485952Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d26ab1dd-8ca4-464e-9814-99d3c313cfb6 · outbound

This paper cites Interactive Visualization of 2-D Persistence Modules.

Modules over posets: commutative and homological algebra Interactive Visualization of 2-D Persistence Modules

Reference 2015

Resolution: unresolved; no resolver link, observed 2026-08-14T11:14:09.516587Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 41b761fe-6cca-46dd-ad8e-fc542ddb6589 · outbound

This paper cites Decomposition of pointwise finite-dimensional persistence modules.

Modules over posets: commutative and homological algebra Decomposition of pointwise finite-dimensional persistence modules

Reference 2016

Resolution: unresolved; no resolver link, observed 2026-08-14T11:14:09.480650Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ad3374d5-8e8e-4747-8906-a71755333c08 · outbound

This paper cites Combinatorial resolutions of multigraded modules and multipersistent homology.

Modules over posets: commutative and homological algebra Combinatorial resolutions of multigraded modules and multipersistent homology

Reference 2017

Resolution: verified exact; local_arxiv, observed 2026-08-14T11:14:09.765043Z

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.

Observation d4aec7dc-c025-4a4b-9685-e9b8b2f6e52f · outbound

This paper cites Ephemeral persistence modules and distance comparison.

Modules over posets: commutative and homological algebra Ephemeral persistence modules and distance comparison

Reference 2019

Resolution: unresolved; no resolver link, observed 2026-08-14T11:14:09.466119Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a8d8e227-10d5-4cbe-a5ba-bae33ea8fb3a · outbound

This paper cites an unresolved cited work.

Modules over posets: commutative and homological algebra Unresolved cited work

Reference 3432

Resolution: unresolved; raw_fallback, observed 2026-08-14T11:14:09.841027Z

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.

Pith citing papers

No inbound Pith citation observations are available.