Paper Citation Record · LEDGER

Representations of torsion-free arithmetic matroids

As of 16 August 2026, this Paper Citation Record lists 22 of 22 outbound references and 0 inbound Pith citation observations for arXiv:1908.04137.

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

pith.paper-citation-record.v1
1908.04137 v1

Coverage vector

measured 22 of 22 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T14:03:04.396112Z

measured 22 of 22 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+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

22 of 22 outbound references displayed

verified exact6
verified fuzzy13
unresolved3
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 6542baf5-dbe1-4b89-a868-8a701c52bd19 · outbound

This paper cites write newline.

Representations of torsion-free arithmetic matroids write newline

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:03:04.749254Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation d926c452-b7cc-4c1e-a283-d88060638a3b · outbound

This paper cites Bj\"orner, M.

Representations of torsion-free arithmetic matroids Bj\"orner, M

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:03:04.734056Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation b9537e36-87b2-4228-8caa-a1f32c12fc6c · outbound

This paper cites Br\"and\'en and L.

Representations of torsion-free arithmetic matroids Br\"and\'en and L

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:03:04.722092Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 6786ba56-3824-404d-8066-2a4c6f391f62 · outbound

This paper cites Callegaro and E.

Representations of torsion-free arithmetic matroids Callegaro and E

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:03:04.710599Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation f1a0a9fe-90ce-49f9-a365-daf45c2d14e0 · outbound

This paper cites Cohen, A course in computational algebraic number theory, Graduate Texts in Mathematics, vol.

Representations of torsion-free arithmetic matroids Cohen, A course in computational algebraic number theory, Graduate Texts in Mathematics, vol

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:03:04.697701Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 14e3d2ec-ebd5-4056-a775-8679388819e9 · outbound

This paper cites De Concini and C.

Representations of torsion-free arithmetic matroids De Concini and C

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:03:04.684940Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 4cced651-7949-4a62-913b-a8337ea89e44 · outbound

This paper cites Stanley-Reisner rings for symmetric simplicial complexes, G-semimatroids and Abelian arrangements.

Representations of torsion-free arithmetic matroids Stanley-Reisner rings for symmetric simplicial complexes, G-semimatroids and Abelian arrangements

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-14T14:03:04.325565Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 455ee8fc-d799-4c26-be9d-eaaa0ddbcd90 · outbound

This paper cites Shellability of posets of labeled partitions and arrangements defined by root systems.

Representations of torsion-free arithmetic matroids Shellability of posets of labeled partitions and arrangements defined by root systems

Reference 8

Resolution: verified exact; local_arxiv, observed 2026-08-14T14:03:04.559494Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation cf3c2777-5991-446c-a8ad-0f87780dd8b3 · outbound

This paper cites D'Adderio and L.

Representations of torsion-free arithmetic matroids D'Adderio and L

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:03:04.672382Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation a365bb55-8ea4-4a92-9481-a57688c00640 · outbound

This paper cites Computing the poset of layers of a toric arrangement.

Representations of torsion-free arithmetic matroids Computing the poset of layers of a toric arrangement

Reference 10

Resolution: verified exact; local_arxiv, observed 2026-08-14T14:03:04.541331Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 4565ddd7-d0e5-4acb-8503-84af83021dda · outbound

This paper cites Representations of weakly multiplicative arithmetic matroids are unique.

Representations of torsion-free arithmetic matroids Representations of weakly multiplicative arithmetic matroids are unique

Reference 11

Resolution: verified exact; local_arxiv, observed 2026-08-14T14:03:04.522657Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 17c074c5-4528-48b5-a50b-5c6c58a209f0 · outbound

This paper cites Stanley-Reisner rings for quasi-arithmetic matroids.

Representations of torsion-free arithmetic matroids Stanley-Reisner rings for quasi-arithmetic matroids

Reference 12

Resolution: verified exact; local_arxiv, observed 2026-08-14T14:03:04.502855Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 52fd3781-d265-4b0a-98f9-4bc46d22614d · outbound

This paper cites Le Gall, Powers of tensors and fast matrix multiplication, Proceedings of the 39th International Symposium on Symbolic and Algebraic Computation, ACM, 2014, pp.

Representations of torsion-free arithmetic matroids Le Gall, Powers of tensors and fast matrix multiplication, Proceedings of the 39th International Symposium on Symbolic and Algebraic Computation, ACM, 2014, pp

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:03:04.657217Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 0174c344-7e28-44d2-be42-d8d711194173 · outbound

This paper cites Martino, Face module for realizable Z -matroids , Contributions to Discrete Mathematics 13 (2018), no.

Representations of torsion-free arithmetic matroids Martino, Face module for realizable Z -matroids , Contributions to Discrete Mathematics 13 (2018), no

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:03:04.644539Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 58d5bb0e-4c89-4275-8cf4-d402fe643760 · outbound

This paper cites Newman, Integral matrices, Pure and Applied Mathematics, vol.

Representations of torsion-free arithmetic matroids Newman, Integral matrices, Pure and Applied Mathematics, vol

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:03:04.631691Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 3ce51ee6-176e-48c5-ad71-4187a739c9fc · outbound

This paper cites Oxley, Matroid theory, second ed., Oxford Graduate Texts in Mathematics, vol.

Representations of torsion-free arithmetic matroids Oxley, Matroid theory, second ed., Oxford Graduate Texts in Mathematics, vol

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:03:04.619680Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 53869a42-15ec-4d61-a9f3-19734370c17d · outbound

This paper cites Combinatorics of Toric Arrangements.

Representations of torsion-free arithmetic matroids Combinatorics of Toric Arrangements

Reference 17

Resolution: verified exact; local_arxiv, observed 2026-08-14T14:03:04.483947Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation a7adaef1-ea6b-4dfd-a591-c584ff7833c8 · outbound

This paper cites Orientable arithmetic matroids.

Representations of torsion-free arithmetic matroids Orientable arithmetic matroids

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-14T14:03:04.378765Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f710c046-202d-4c7f-a4a9-70ad12951dcd · outbound

This paper cites an unresolved cited work.

Representations of torsion-free arithmetic matroids Unresolved cited work

Reference 19

Resolution: unresolved; raw_fallback, observed 2026-08-14T14:03:04.606959Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 8b082051-ec48-4b90-a24d-34bf710865b5 · outbound

This paper cites Shellability of generalized Dowling posets.

Representations of torsion-free arithmetic matroids Shellability of generalized Dowling posets

Reference 20

Resolution: verified exact; local_arxiv, observed 2026-08-14T14:03:04.442880Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 30043b82-25a1-414e-8dbe-c8fb7b127175 · outbound

This paper cites Pagaria and G.

Representations of torsion-free arithmetic matroids Pagaria and G

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:03:04.595016Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 8be65abe-3f50-4711-a35c-ae0f83699678 · outbound

This paper cites Storjohann and G.

Representations of torsion-free arithmetic matroids Storjohann and G

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:03:04.583136Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Pith citing papers

No inbound Pith citation observations are available.