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Paper Citation Record · LEDGER

When are Morse resolutions polyhedral?

As of 20 August 2026, this Paper Citation Record lists 21 of 21 outbound references and 1 inbound Pith citation observation for arXiv:2505.08580.

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

pith.paper-citation-record.v1
2505.08580 v1

Coverage vector

measured 21 of 21 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T22:01:39.038841Z

measured 22 of 22 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 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-05-22T02:24:07.181202Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-22T02:24:30.907366Z

Reference resolution

21 of 21 outbound references displayed

  • verified exact1
  • verified fuzzy9
  • unresolved11
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 0203977c-1f11-4de8-a3b1-a383dd78e6ab · outbound

This paper cites Computational synthetic geometry , volume 1355 of Lecture Notes in Mathematics.

When are Morse resolutions polyhedral? Computational synthetic geometry , volume 1355 of Lecture Notes in Mathematics

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:01:39.480824Z

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=2026-08-15T22:01:38.903617Z digest=sha256:b05305cf4f9ab9b16e26e1c00cae314c82ddd6e0e2c0e46a3c60f5252edd3fc4

Observation 77934a3d-7219-4b1d-8923-0ecf117e6bf6 · outbound

This paper cites Cellular resolutions of monomial modules.

When are Morse resolutions polyhedral? Cellular resolutions of monomial modules

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-15T22:01:38.911356Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T22:01:38.911356Z digest=sha256:74531580d94543c3a69448e5c03503a66c52b290787b8c27582369d8fe8a1c70

Observation e77bfd54-179f-422f-9d8b-a696dec56ebc · outbound

This paper cites Batzies and V.

When are Morse resolutions polyhedral? Batzies and V

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:01:39.442628Z

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=2026-08-15T22:01:38.917756Z digest=sha256:47b580a952afb1d49fe97cdb3daae2d5641bd7df70e7b65999a014b65f35f385

Observation 9d62ce71-2bfe-4831-9b93-2e9d3ba2f2c2 · outbound

This paper cites Cooper, Sabine El Khoury, Sara Faridi, Sarah Mayes-Tang, Susan Morey, Liana M.

When are Morse resolutions polyhedral? Cooper, Sabine El Khoury, Sara Faridi, Sarah Mayes-Tang, Susan Morey, Liana M

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:01:39.413268Z

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=2026-08-15T22:01:38.926072Z digest=sha256:ad8b23c7ccae8603621bd3f735548cf1b468b98ddd449db941a5607c04775ac6

Observation b4f1339f-2ff4-4bb0-bc79-10ade2cdec89 · outbound

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

When are Morse resolutions polyhedral? Minimal cellular resolutions of monomial ideals with five generators and their Artinian reductions

Reference 5

Resolution
verified exact
local_arxiv, observed 2026-08-15T22:01:39.120663Z

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=2026-08-15T22:01:38.932919Z digest=sha256:7b4b5ef3fec803f7ccc8f15345925725837caf354366fc697ae0c80adcf9c0c3

Observation 0f23b615-35df-4863-9f9e-e470c2c50b9f · outbound

This paper cites Barile- M acchia resolutions.

When are Morse resolutions polyhedral? Barile- M acchia resolutions

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-15T22:01:38.940390Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T22:01:38.940390Z digest=sha256:cd5e6ee18225c7d5e4fa4626430f494ec851240c14f0d87f469211681c3329f1

Observation 0d0e6546-ca2a-4ba1-96cd-48eb67476971 · outbound

This paper cites Faridi, M.

When are Morse resolutions polyhedral? Faridi, M

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:01:39.373397Z

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=2026-08-15T22:01:38.947295Z digest=sha256:c483d18d98676e3918e0978040cc022534428fea1ed2c46ff2605eb0b29d6bdc

Observation e556e52a-1550-4ff6-a3dd-6afea0d006c9 · outbound

This paper cites Grayson and Michael E.

When are Morse resolutions polyhedral? Grayson and Michael E

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-15T22:01:38.955043Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T22:01:38.955043Z digest=sha256:2a36c2722b4cc11aca47c6dc8a92b8235fdc0f73e6071337c96eed9cfe1bc391

Observation 494a9a61-ecaf-4a33-8e7d-63cddb1e0ba5 · outbound

This paper cites Gr\"unbaum and G.

When are Morse resolutions polyhedral? Gr\"unbaum and G

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:01:39.339472Z

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=2026-08-15T22:01:38.963860Z digest=sha256:fb74dd76e6fbd3c91ffb42f87f33c63cefe1bb5b8df5e1e525161dfb86607869

Observation b8943b9b-f2a4-4249-b14a-a063c29c887f · outbound

This paper cites Combinatorial algebraic topology , volume 21 of Algorithms and Computation in Mathematics.

When are Morse resolutions polyhedral? Combinatorial algebraic topology , volume 21 of Algorithms and Computation in Mathematics

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-15T22:01:38.971064Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T22:01:38.971064Z digest=sha256:94e51436a073997b7f6da89b7fbef0221dc64d7aed8909a5d8f16e5687fa3fe0

Observation 2dc34793-79a4-4ad1-9c8f-d928c292cabd · outbound

This paper cites Morse resolutions of monomial ideals and Betti splittings.

When are Morse resolutions polyhedral? Morse resolutions of monomial ideals and Betti splittings

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-15T22:01:38.978351Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T22:01:38.978351Z digest=sha256:ab6b64a38d998896aeff9b967c6fc94bd7b52d0b43dc5c77fd0e4860c2bee5f6

Observation 466ff0f8-8b0c-4385-bf7b-f7001adf8890 · outbound

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

When are Morse resolutions polyhedral? Combinatorial commutative algebra , volume 227 of Graduate Texts in Mathematics

Reference 12

Resolution
unresolved
no resolver link, observed 2026-08-15T22:01:38.984447Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T22:01:38.984447Z digest=sha256:0e26af0c24f61585fc3c38ab71ba5a5573850a71ea341e286099bc1ab54ee9a5

Observation be25da6f-8bdb-449f-b743-56bd95568c11 · outbound

This paper cites an unresolved cited work.

When are Morse resolutions polyhedral? Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-15T22:01:39.293624Z

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=2026-08-15T22:01:38.990291Z digest=sha256:8b42b905a8cd89d7a8a61e09c784cdaed8743cbfd5d32885a0fb1599667d984e

Observation 7f6194b7-19a6-4510-a60d-a6045507ea1e · outbound

This paper cites Graded syzygies , volume 14 of Algebra and Applications.

When are Morse resolutions polyhedral? Graded syzygies , volume 14 of Algebra and Applications

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:01:39.272626Z

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=2026-08-15T22:01:38.995640Z digest=sha256:c9ba4f389a37da4c0f434be7e9d682179a4d7dd71b7df9def15f25e378af4a07

Observation 56edaf16-983f-4418-9a4d-9323b183daf2 · outbound

This paper cites Linear syzygies of stanley-reisner ideals.

When are Morse resolutions polyhedral? Linear syzygies of stanley-reisner ideals

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:01:39.254055Z

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=2026-08-15T22:01:39.001855Z digest=sha256:fe9bce56ee7e14b02457b202c9e52583229474d0429b8b870e14e40ad1d50170

Observation 5924de7f-50f7-4ba4-add5-670f397a22c2 · outbound

This paper cites an unresolved cited work.

When are Morse resolutions polyhedral? Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-08-15T22:01:39.235179Z

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=2026-08-15T22:01:39.007886Z digest=sha256:c5d1ac9c39b16ebf8b1f25af683eaa9248a738cf3366ef65c4a99719f7e7477b

Observation 02230609-d5d0-4d5c-9dbd-80d8a52e58df · outbound

This paper cites Ideals generated by monomials in an R-sequence.

When are Morse resolutions polyhedral? Ideals generated by monomials in an R-sequence

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:01:39.214386Z

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=2026-08-15T22:01:39.013358Z digest=sha256:b44159d8003916658541db0f0a976fd58cd21faf04e51cb90b4ba8651dc3f7de

Observation d8d8a1b3-029d-474c-88fe-1386d5303219 · outbound

This paper cites S ageMath, the S age M athematics S oftware S ystem ( V ersion 9.2) , 2020.

When are Morse resolutions polyhedral? S ageMath, the S age M athematics S oftware S ystem ( V ersion 9.2) , 2020

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:01:39.195786Z

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=2026-08-15T22:01:39.019165Z digest=sha256:3a0cfa27fab364784022ed0877a2d9ef46b2ef05b871a55c7762fe9b97dad162

Observation 5b30ff5c-307f-4621-b2dd-afdbe4015dce · outbound

This paper cites Minimal free resolutions that are not supported by a CW -complex.

When are Morse resolutions polyhedral? Minimal free resolutions that are not supported by a CW -complex

Reference 19

Resolution
unresolved
no resolver link, observed 2026-08-15T22:01:39.026028Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T22:01:39.026028Z digest=sha256:195924d85bb1d589a974f40ec69cc32166defba5879caf6e95e51be7644ed34b

Observation 349bcfee-fa67-4968-be2b-c22a229ef89c · outbound

This paper cites an unresolved cited work.

When are Morse resolutions polyhedral? Unresolved cited work

Reference 20

Resolution
unresolved
raw_fallback, observed 2026-08-15T22:01:39.165416Z

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=2026-08-15T22:01:39.031627Z digest=sha256:c1e8ab3b3df08212d97e44abcb076163138e43b07d11ab130ed3f1146f38ac1d

Observation a4166a9e-d9a0-488e-807b-784c18c77b16 · outbound

This paper cites an unresolved cited work.

When are Morse resolutions polyhedral? Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-08-15T22:01:39.143285Z

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=2026-08-15T22:01:39.038841Z digest=sha256:6328680de25c637e6f4e4d24880cdd82c575ca72490fbeaac25b802fc0025cde

Pith citing papers

Observation 1e3ff1be-bed2-4339-961d-744e579c22cd · inbound

Cellular resolutions of second powers of square-free monomial ideals with divisibility relations cites this paper.

Cellular resolutions of second powers of square-free monomial ideals with divisibility relations When are Morse resolutions polyhedral?

Reference 3

Resolution
verified exact
arxiv_id, observed 2026-05-22T02:24:30.909745Z

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=pdf_text observed=2026-05-22T02:24:07.181202Z digest=sha256:7b635beba93895e532f26e4400e0ad3a5f759b74196e8d8c9c6ce6a8f4c3cbab