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Paper Citation Record · LEDGER

Free resolutions of function classes via order complexes

As of 20 August 2026, this Paper Citation Record lists 20 of 20 outbound references and 0 inbound Pith citation observations for arXiv:1909.02159.

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

pith.paper-citation-record.v1
1909.02159 v2

Coverage vector

measured 20 of 20 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T05:33:57.253674Z

measured 20 of 20 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+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

20 of 20 outbound references displayed

  • verified exact1
  • verified fuzzy10
  • unresolved9
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 97f70292-2298-4c21-bc52-788b6d6de17c · outbound

This paper cites An introduction to cohen-macaulay partially ordered sets.

Free resolutions of function classes via order complexes An introduction to cohen-macaulay partially ordered sets

Reference 1

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 6fe8847c-7495-4bf8-b84a-f6902e412ee5 · outbound

This paper cites Shellable and C ohen- M acaulay partially ordered sets.

Free resolutions of function classes via order complexes Shellable and C ohen- M acaulay partially ordered sets

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:33:57.565362Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation f053ab74-7277-489f-8d8e-17addfd1b8fc · outbound

This paper cites Shellable decompositions of cells and spheres.

Free resolutions of function classes via order complexes Shellable decompositions of cells and spheres

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:33:57.549559Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation f14b6155-bab2-4c8e-86b6-85123b3f43d9 · outbound

This paper cites an unresolved cited work.

Free resolutions of function classes via order complexes Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-14T05:33:57.534446Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-14T05:33:57.177867Z digest=sha256:fb71eb56edfec3d6ea3db77bb2d7e785c6460ea1ddc93f496d506a16ede1fb30

Observation 531a2371-7981-4151-a0ab-c6d14acb3bb7 · outbound

This paper cites Regular polytopes.

Free resolutions of function classes via order complexes Regular polytopes

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:33:57.518735Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-14T05:33:57.183155Z digest=sha256:b3b012b120410b989bba2a61289c82c3525b6d8f2abe63fc1a491907dc055369

Observation 85ab26e8-170f-4d89-bf6a-efe6b7516358 · outbound

This paper cites The geometry of syzygies , volume 229 of Graduate Texts in Mathematics.

Free resolutions of function classes via order complexes The geometry of syzygies , volume 229 of Graduate Texts in Mathematics

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-14T05:33:57.187905Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-14T05:33:57.187905Z digest=sha256:ac7faa39fa9808c18e3d82975c43cc0fb95f5967dd41cc936c68cff553d4d2b3

Observation d74c8381-ecad-4dab-abe6-7fe6aa320576 · outbound

This paper cites Eagon and Victor Reiner.

Free resolutions of function classes via order complexes Eagon and Victor Reiner

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:33:57.492965Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 3b70d5aa-fe4e-4c01-8da7-a6637dde8ba1 · outbound

This paper cites Grayson and Michael E.

Free resolutions of function classes via order complexes Grayson and Michael E

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-14T05:33:57.197501Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-14T05:33:57.197501Z digest=sha256:b8b18780228020a3c9edcca29d0e604c135c3d86e9d8e417c13d89f516b47b36

Observation ed6bc95f-53fa-4a1d-99c1-e945e29935dd · outbound

This paper cites an unresolved cited work.

Free resolutions of function classes via order complexes Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-14T05:33:57.467507Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-14T05:33:57.202583Z digest=sha256:b6c2406ac5bb41517ba44ace8e8362c129c87017137cda94d6d099285d42f08d

Observation eb739c58-50c6-47a3-bdb3-ab568a555a49 · outbound

This paper cites An Introduction to Computational Learning Theory.

Free resolutions of function classes via order complexes An Introduction to Computational Learning Theory

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:33:57.452107Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-14T05:33:57.207273Z digest=sha256:ea3d20d377daa394ea279563017b160f39e274572245f09a6fd3c0e3bac26443

Observation 48dcd2cb-9c0e-47a7-b61a-ac0544dc0392 · outbound

This paper cites Combinatorial commutative algebra , volume 227 of Graduate Texts in Mathematics.

Free resolutions of function classes via order complexes Combinatorial commutative algebra , volume 227 of Graduate Texts in Mathematics

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-14T05:33:57.211742Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-14T05:33:57.211742Z digest=sha256:ae5ffe24f177c88e013ec11ad8be252e93aa57d221fbcd638a13b211e751114c

Observation 9baf6705-5f67-4c25-8462-d109afde6cb6 · outbound

This paper cites Matroid theory , volume 21 of Oxford Graduate Texts in Mathematics.

Free resolutions of function classes via order complexes Matroid theory , volume 21 of Oxford Graduate Texts in Mathematics

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:33:57.426270Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-14T05:33:57.216209Z digest=sha256:564e5d12768ec8541ff315f29244e4c568677368ce056ab2369040432ad1b732

Observation dbae4117-9706-42f2-85e6-7b7b8ab4cfc6 · outbound

This paper cites an unresolved cited work.

Free resolutions of function classes via order complexes Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-14T05:33:57.410889Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation d7eb9f62-8129-4ce1-a6e6-e3c827a7bb6b · outbound

This paper cites On the foundations of combinatorial theory.

Free resolutions of function classes via order complexes On the foundations of combinatorial theory

Reference 14

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 0e0a7eeb-b440-4190-8dd1-5a79eb7d4f37 · outbound

This paper cites an unresolved cited work.

Free resolutions of function classes via order complexes Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-14T05:33:57.378428Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-14T05:33:57.230268Z digest=sha256:833305019eb850075af4bf2fb75eb8c00be5c00af7917c2f8349600c2961c526

Observation c1d4eb56-4719-4890-b6c2-f023ceddab51 · outbound

This paper cites Vapnik and Alexey Y.

Free resolutions of function classes via order complexes Vapnik and Alexey Y

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:33:57.361938Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-14T05:33:57.234643Z digest=sha256:a7a0efba71819d511f6bf8b48fd18f564f415a317a1bb06757963ac8c3cd1a5f

Observation d05ee90e-888f-43a0-a617-5c1d93b3e355 · outbound

This paper cites an unresolved cited work.

Free resolutions of function classes via order complexes Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-14T05:33:57.345164Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-14T05:33:57.238961Z digest=sha256:859e9ac7d3de1e1f888b50805f89bb2703ab5e70d02957eb77449f18b6471563

Observation fc0a60ee-6418-49e7-af82-90365f84807d · outbound

This paper cites A Homological Theory of Functions.

Free resolutions of function classes via order complexes A Homological Theory of Functions

Reference 18

Resolution
verified exact
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 886dc028-4042-4aba-b83b-3afb7a036ecf · outbound

This paper cites The M \" o bius function and the characteristic polynomial.

Free resolutions of function classes via order complexes The M \" o bius function and the characteristic polynomial

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:33:57.328912Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-14T05:33:57.249222Z digest=sha256:0e30ffb89baef5238b14cf298d612252dc85322e0d50670c053db5021feae6f7

Observation bacc37b4-0117-4da4-b75a-7d66d0146966 · outbound

This paper cites an unresolved cited work.

Free resolutions of function classes via order complexes Unresolved cited work

Reference 20

Resolution
unresolved
raw_fallback, observed 2026-08-14T05:33:57.312620Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Pith citing papers

No inbound Pith citation observations are available.