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Paper Citation Record · LEDGER

The inverse $Z$-polynomial of a matroid

As of 20 August 2026, this Paper Citation Record lists 22 of 22 outbound references and 2 inbound Pith citation observations for arXiv:2507.01332.

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

pith.paper-citation-record.v1
2507.01332 v1

Coverage vector

measured 22 of 22 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T21:15:56.543944Z

measured 24 of 24 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 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-06-29T11:44:30.308215Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-06-29T12:13:27.314649Z

Reference resolution

22 of 22 outbound references displayed

  • verified exact0
  • verified fuzzy16
  • unresolved6
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation cc6d348c-6ae8-41cf-92d3-9af5effe9929 · outbound

This paper cites Ardila and M.

The inverse $Z$-polynomial of a matroid Ardila and M

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T21:15:56.791478Z

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=2026-08-06T21:15:56.459820Z digest=sha256:d820d57c17f03cba8ca23715dad887c8c41c706605c80867f1e97a9170691d52

Observation 276edf9d-4e72-480a-a9c0-aaef369d578b · outbound

This paper cites B´ erczi, T.

The inverse $Z$-polynomial of a matroid B´ erczi, T

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T21:15:56.782999Z

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=2026-08-06T21:15:56.464214Z digest=sha256:b7784c2e2947e1ec310f987de530639b9ec07d0c23c62dfa0985cba77e9d9580

Observation 3d2ca18d-3ed7-44e4-99a8-c0be0cb2c27a · outbound

This paper cites Singular Hodge theory for combinatorial geometries.

The inverse $Z$-polynomial of a matroid Singular Hodge theory for combinatorial geometries

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-06T21:15:56.468165Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T21:15:56.468165Z digest=sha256:58a9f85dc64612c76af134d0f577525ffae4425065fcafcd6f9afa6a3d078692

Observation 82696b52-80cf-4b1d-8a92-bba813d6a868 · outbound

This paper cites Braden and A.

The inverse $Z$-polynomial of a matroid Braden and A

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T21:15:56.774220Z

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=2026-08-06T21:15:56.472978Z digest=sha256:02d78bdae3be4c0548192c20aa1caf3070f9b0cd532a47b248b2f5ef9328000a

Observation 9d258f4c-9335-481b-9908-f7d739943476 · outbound

This paper cites Elias, N.

The inverse $Z$-polynomial of a matroid Elias, N

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T21:15:56.765442Z

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=2026-08-06T21:15:56.477200Z digest=sha256:beceead773f58adde74dcc338939c86e0b937ba76fed3738c29c7a4b1a8a7496

Observation 5bb5a871-9e8c-431e-b291-58c308625d9d · outbound

This paper cites Ferroni and M.

The inverse $Z$-polynomial of a matroid Ferroni and M

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T21:15:56.757021Z

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=2026-08-06T21:15:56.481209Z digest=sha256:e2ae0193ef4ffe1294aaeffc9789051149cf7371363f065151700ceb207d36ef

Observation 8842f52d-72f2-4692-957f-ef8794b3528d · outbound

This paper cites Ferroni L, J.

The inverse $Z$-polynomial of a matroid Ferroni L, J

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T21:15:56.748462Z

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=2026-08-06T21:15:56.485275Z digest=sha256:c1bb91ef69153f790e09820299d2f7c4618f1511dcb3f00f744845659e90db03

Observation 5deb2840-aed2-4ddb-a328-de709cf3d113 · outbound

This paper cites Ferroni, G.

The inverse $Z$-polynomial of a matroid Ferroni, G

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T21:15:56.739673Z

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=2026-08-06T21:15:56.488928Z digest=sha256:6612a52b246e8578a73fafe5239d9104a1a201cd0cf9bd34604000a9114ac9f3

Observation d9e9a4ca-8670-4612-9035-728224ba4131 · outbound

This paper cites Ferroni and B.

The inverse $Z$-polynomial of a matroid Ferroni and B

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T21:15:56.731048Z

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=2026-08-06T21:15:56.492948Z digest=sha256:d7bb8eadf30f014993aefbaa8e3df0893112adb2efad7966fb3d5e578b23914e

Observation 01d6a648-8760-4bbc-a3ff-914227a98754 · outbound

This paper cites Ferroni and L.

The inverse $Z$-polynomial of a matroid Ferroni and L

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T21:15:56.721351Z

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=2026-08-06T21:15:56.496535Z digest=sha256:fa7eb789fc68bd051b49c8069aa9150fe247c72a183a89b83d1cbfb18d806f9f

Observation 1801a25e-fbb6-43b8-bb5c-b1946a6805c3 · outbound

This paper cites an unresolved cited work.

The inverse $Z$-polynomial of a matroid Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-06T21:15:56.712739Z

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=2026-08-06T21:15:56.500191Z digest=sha256:cb4986a21f74e9c519713fc5af347fca317980cb7a1bca3e08535e87d2e89255

Observation f9335c80-26aa-4f87-8854-9d568591dbf3 · outbound

This paper cites an unresolved cited work.

The inverse $Z$-polynomial of a matroid Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-06T21:15:56.704600Z

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=2026-08-06T21:15:56.503641Z digest=sha256:96b09553bad33813739c5937f82c2882fbb9b7ac835f3cd26abdfed6cc98b0f7

Observation aafd79df-4a9a-4b01-993c-9263b1ca9bcf · outbound

This paper cites Gao and M.

The inverse $Z$-polynomial of a matroid Gao and M

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T21:15:56.695784Z

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=2026-08-06T21:15:56.507223Z digest=sha256:d6279a617cbb655114794d5aadfbce7893fd4c2fd944f35e110cc5cc28aaa946

Observation 7e9799c0-5d07-4359-8864-34d06e4cce5c · outbound

This paper cites an unresolved cited work.

The inverse $Z$-polynomial of a matroid Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-06T21:15:56.687537Z

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=2026-08-06T21:15:56.511845Z digest=sha256:e8f8705cf704718342b09fe5d997e2a51e1627d7aae605bcf8816cbcbad20d8a

Observation 2bc71070-8961-4675-bde9-8dca3cf8e684 · outbound

This paper cites Gedeon, N.

The inverse $Z$-polynomial of a matroid Gedeon, N

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T21:15:56.678736Z

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=2026-08-06T21:15:56.515284Z digest=sha256:2e3a5a87246bbd702ab8ac6a033cc69c02b6072d177f6522cd0685f85e3a9986

Observation 2fe94947-9a6d-4282-812f-4d223176fead · outbound

This paper cites Joswig and B.

The inverse $Z$-polynomial of a matroid Joswig and B

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T21:15:56.669805Z

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=2026-08-06T21:15:56.518791Z digest=sha256:6be19b68c97121faaf12d479b2a995e00ee679cb7271599182aa9991e84da68f

Observation f8f9dffb-b6a5-4862-9576-75e553508e8f · outbound

This paper cites Mayhew, M.

The inverse $Z$-polynomial of a matroid Mayhew, M

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T21:15:56.660029Z

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=2026-08-06T21:15:56.523784Z digest=sha256:7afe73bbdc2804c4bcc3bb8fe906f8fd76299d47632d31c67f27bb781686133c

Observation 6c29b3e5-9bf1-45ce-a3e9-69d495dc7a12 · outbound

This paper cites an unresolved cited work.

The inverse $Z$-polynomial of a matroid Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-06T21:15:56.650112Z

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=2026-08-06T21:15:56.527900Z digest=sha256:1dcb9d01e917cf738858adbbaef1369cf50af9004875fe1556e7a294ad903dc6

Observation f1748a0c-d86a-4fb6-86db-9134b692d7d8 · outbound

This paper cites Proudfoot.

The inverse $Z$-polynomial of a matroid Proudfoot

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T21:15:56.640563Z

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=2026-08-06T21:15:56.531308Z digest=sha256:ca87564fbcaafc904a849b66f5323414104efbc8a24d16393b608c23a8b8c39f

Observation 8d9af1c0-e20f-4a13-865a-4674343ea789 · outbound

This paper cites Proudfoot, Y.

The inverse $Z$-polynomial of a matroid Proudfoot, Y

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T21:15:56.631003Z

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=2026-08-06T21:15:56.535395Z digest=sha256:30a6953caeedf45a174498d7899d836fd7091635cd92242224d9fe01e4b34b9a

Observation 2744ce88-f34e-4a10-b074-ac3e96944ee8 · outbound

This paper cites an unresolved cited work.

The inverse $Z$-polynomial of a matroid Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-08-06T21:15:56.621330Z

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=2026-08-06T21:15:56.540471Z digest=sha256:b54c4977204fef80fe976386000dc4189acdc3d9e1d426bae68806ed643149c7

Observation c0b2a67d-9911-4cec-b6d2-22e722d4fa98 · outbound

This paper cites Zaslavsky.

The inverse $Z$-polynomial of a matroid Zaslavsky

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T21:15:56.611588Z

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=2026-08-06T21:15:56.543944Z digest=sha256:6bd3ff0c188acac12740af90dd50842308c3f7dc2dbfebdd3256a349bf08c157

Pith citing papers

Observation 3718e15d-64f3-4112-9c63-dc1f57fd6193 · inbound

Inverse Kazhdan--Lusztig polynomials of fan matroids cites this paper.

Inverse Kazhdan--Lusztig polynomials of fan matroids The inverse $Z$-polynomial of a matroid

Reference 11

Resolution
verified exact
arxiv_id, observed 2026-05-15T00:43:24.458151Z

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=2026-05-15T00:42:29.362086Z digest=sha256:d1b16e510542c0c7eb818e6a5c5beac80f18bf7d1a725cb5417223b526db5959

Observation 32dca77c-3ddb-4bfd-85f1-178b5d6fbe25 · inbound

Dual Chow polynomials of matroids and posets cites this paper.

Dual Chow polynomials of matroids and posets The inverse $Z$-polynomial of a matroid

Reference 8

Resolution
verified exact
arxiv_id, observed 2026-06-29T12:13:27.315883Z

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=2026-06-29T11:44:30.308215Z digest=sha256:ce907b5d32898143305c8ac764ff61277e55a1b316ed8638424b2cfb56dd3fd1