Paper Citation Record · LEDGER

Functors on Posets Left Kan Extend to Cosheaves: an Erratum

As of 17 August 2026, this Paper Citation Record lists 20 of 20 outbound references and 1 inbound Pith citation observation for arXiv:1907.09416.

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

pith.paper-citation-record.v1
1907.09416 v1

Coverage vector

measured 20 of 20 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-24T17:40:47.178453Z

measured 21 of 21 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 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-14T11:14:09.491360Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-14T11:14:09.715028Z

Reference resolution

20 of 20 outbound references displayed

verified exact3
verified fuzzy15
unresolved0
parse uncertain0
malformed identifier2
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 4397ffa7-003f-458f-ad63-335c6b77521e · outbound

This paper cites Whitney numbers of geometric lattices.

Functors on Posets Left Kan Extend to Cosheaves: an Erratum Whitney numbers of geometric lattices

Reference 1

Resolution: malformed identifier; raw_fallback, observed 2026-05-24T17:46:18.480267Z

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 987c9bb6-0815-40c2-ad08-5568d8aeac29 · outbound

This paper cites Ephemeral persistence modules and distance comparison.

Functors on Posets Left Kan Extend to Cosheaves: an Erratum Ephemeral persistence modules and distance comparison

Reference 2

Resolution: verified exact; arxiv_id, observed 2026-05-24T17:44:46.316345Z

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 e7bbe20d-881d-4a79-a913-4c2894d8be66 · outbound

This paper cites Sheaves, Cosheaves and Applications.

Functors on Posets Left Kan Extend to Cosheaves: an Erratum Sheaves, Cosheaves and Applications

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T17:46:18.487770Z

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 b45ce2a8-9bc9-48f6-bdb4-a0decb4c560b · outbound

This paper cites Dualities between cellular sheaves and cosheaves.

Functors on Posets Left Kan Extend to Cosheaves: an Erratum Dualities between cellular sheaves and cosheaves

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T17:46:18.484083Z

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 9ad592aa-e852-454e-9438-df3ee474045e · outbound

This paper cites Topological hypercovers and 1-realizations.

Functors on Posets Left Kan Extend to Cosheaves: an Erratum Topological hypercovers and 1-realizations

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T17:46:18.491218Z

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 92b0b8cc-4cff-43ec-971f-765d4bdd85e7 · outbound

This paper cites Network codings and sheaf cohomology.

Functors on Posets Left Kan Extend to Cosheaves: an Erratum Network codings and sheaf cohomology

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T17:46:18.558045Z

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 8167db13-23c0-445e-a4de-645e9b22b9a1 · outbound

This paper cites Toward a Spectral Theory of Cellular Sheaves.

Functors on Posets Left Kan Extend to Cosheaves: an Erratum Toward a Spectral Theory of Cellular Sheaves

Reference 7

Resolution: verified exact; arxiv_id, observed 2026-05-24T17:44:46.310264Z

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 d40d68bf-bf0c-497a-b991-7c40d8c0895c · outbound

This paper cites The Riemann-Hilbert problem for holonomic systems.

Functors on Posets Left Kan Extend to Cosheaves: an Erratum The Riemann-Hilbert problem for holonomic systems

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T17:46:18.553152Z

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 86ab1c47-3ebb-4771-ab70-819055447b25 · outbound

This paper cites Persistent homology and microlocal sheaf theory.

Functors on Posets Left Kan Extend to Cosheaves: an Erratum Persistent homology and microlocal sheaf theory

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T17:46:18.549174Z

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 f713a4e1-b6b1-4784-be8c-20f0f8618840 · outbound

This paper cites On derived equivalences of categories of sheaves over ﬁnite posets.

Functors on Posets Left Kan Extend to Cosheaves: an Erratum On derived equivalences of categories of sheaves over ﬁnite posets

Reference 10

Resolution: verified exact; doi, observed 2026-05-24T17:44:45.676614Z

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 d3b90862-f3e0-48cf-8361-9f9b3341f3cf · outbound

This paper cites Category theory in context.

Functors on Posets Left Kan Extend to Cosheaves: an Erratum Category theory in context

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T17:46:18.545632Z

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 21dea4e8-c280-4c95-abcc-a51c8ca4f36a · outbound

This paper cites The Nyquist theorem for cellular sheaves.

Functors on Posets Left Kan Extend to Cosheaves: an Erratum The Nyquist theorem for cellular sheaves

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T17:46:18.541580Z

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 7241523e-92ce-4c38-ab9a-40044ecedc94 · outbound

This paper cites A CELLULAR DESCRIPTION OF THE DERIVED CATE- GORY OF A STRATIFIED SPACE.

Functors on Posets Left Kan Extend to Cosheaves: an Erratum A CELLULAR DESCRIPTION OF THE DERIVED CATE- GORY OF A STRATIFIED SPACE

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T17:46:18.537022Z

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 62ae0ba5-460a-4768-9e05-070ad20ce884 · outbound

This paper cites Categoriﬁed Reeb Graphs.

Functors on Posets Left Kan Extend to Cosheaves: an Erratum Categoriﬁed Reeb Graphs

Reference 14

Resolution: malformed identifier; raw_fallback, observed 2026-05-24T17:46:18.517090Z

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 6b7e8a29-075c-4d57-85be-15cfaea9f296 · outbound

This paper cites The Stacks project.

Functors on Posets Left Kan Extend to Cosheaves: an Erratum The Stacks project

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T17:46:18.513025Z

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 3f0397ab-15e7-4148-9773-f3fd6fc99ae1 · outbound

This paper cites Sheaves on ﬁnite posets and modules over normal semigroup rings.

Functors on Posets Left Kan Extend to Cosheaves: an Erratum Sheaves on ﬁnite posets and modules over normal semigroup rings

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T17:46:18.509567Z

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 0aefc312-1453-4290-81ec-0aab191b02c9 · outbound

This paper cites Cohomology of local sheaves on arrangement lattices.

Functors on Posets Left Kan Extend to Cosheaves: an Erratum Cohomology of local sheaves on arrangement lattices

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T17:46:18.505822Z

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 62427ff9-87b6-4ed4-8dfc-d9b74d51e10e · outbound

This paper cites Dihomology: I. Relations Between Homology Theories.

Functors on Posets Left Kan Extend to Cosheaves: an Erratum Dihomology: I. Relations Between Homology Theories

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T17:46:18.502311Z

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 9c2aa855-088b-4d40-9e4b-8817f8abc0d2 · outbound

This paper cites Dihomology: II. The Spectral Theories of a Map.

Functors on Posets Left Kan Extend to Cosheaves: an Erratum Dihomology: II. The Spectral Theories of a Map

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T17:46:18.498410Z

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 2765e0b7-00c0-4cf1-a4a7-64169d115c93 · outbound

This paper cites Dihomology III. A generalization of the Poincar´ e duality for manifolds.

Functors on Posets Left Kan Extend to Cosheaves: an Erratum Dihomology III. A generalization of the Poincar´ e duality for manifolds

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T17:46:18.494910Z

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

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

Modules over posets: commutative and homological algebra cites this paper.

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.