Pith. sign in

Paper Citation Record · LEDGER

On the recognition problem for limits of entropy functions

As of 14 August 2026, this Paper Citation Record lists 18 of 18 outbound references and 1 inbound Pith citation observation for arXiv:2509.06302.

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

pith.paper-citation-record.v1
2509.06302 v1

Coverage vector

measured 18 of 18 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-05T00:09:47.205633Z

measured 19 of 19 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-06-26T05:39:04.477374Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-04T12:59:52.531959Z

Reference resolution

18 of 18 outbound references displayed

  • verified exact2
  • verified fuzzy11
  • unresolved5
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 5625e87f-858f-4247-8862-c7b4e26baae1 · outbound

This paper cites A Note on Extension Properties and Representations of Matroids.

On the recognition problem for limits of entropy functions A Note on Extension Properties and Representations of Matroids

Reference 1

Resolution
verified exact
local_arxiv, observed 2026-08-05T00:09:47.753522Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-05T00:09:46.624752Z digest=sha256:54e3e33086af62c1221aea7db45eecfcd79afc9f07a6f7e684f2ceab6ad3856d

Observation 42a6017e-b176-43b4-be69-0831ceef47b6 · outbound

This paper cites 233--236.

On the recognition problem for limits of entropy functions 233--236

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T00:09:49.524854Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-05T00:09:46.674616Z digest=sha256:6c806e2c115ac7bb608908d98ef54bd701f97ad86e5dde307e3efda93443de51

Observation f3e9e758-d7c2-4f82-9a3b-dfe236989899 · outbound

This paper cites Linear rank inequalities on five or more variables.

On the recognition problem for limits of entropy functions Linear rank inequalities on five or more variables

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-05T00:09:46.699348Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-05T00:09:46.699348Z digest=sha256:c98876b8e26124eeb23006595894a0a55e5f1c309aa056a4c9440ad4d6196935

Observation 2ac999a1-a01b-4629-9b2c-00d107835d8c · outbound

This paper cites Non-Shannon Information Inequalities in Four Random Variables.

On the recognition problem for limits of entropy functions Non-Shannon Information Inequalities in Four Random Variables

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-05T00:09:46.725953Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-05T00:09:46.725953Z digest=sha256:ac3afe50f6ac0fb4396af0d48ca2d27021da78a31eb99042ec5fe21cd19f4952

Observation 1cab9920-ba06-4a8a-bfad-243b1d55eb21 · outbound

This paper cites 1, 61--86.

On the recognition problem for limits of entropy functions 1, 61--86

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T00:09:49.372529Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-05T00:09:46.770704Z digest=sha256:f577957ced75f8fef31f4839e0c1f04cfd1175529d719f4400b04920af10681f

Observation 1ea8c667-1ae4-4ea5-bc62-c9b0ba2cc1f5 · outbound

This paper cites an unresolved cited work.

On the recognition problem for limits of entropy functions Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-05T00:09:49.200581Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-05T00:09:46.814741Z digest=sha256:66379789b293e860d374b142d6f23f5416d0a8c6b277e922649aa1e6b92f7595

Observation 63e64bbf-e632-4000-899c-e06450991d45 · outbound

This paper cites 1, 95--147.

On the recognition problem for limits of entropy functions 1, 95--147

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T00:09:49.104846Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-05T00:09:46.843860Z digest=sha256:48ecf34c0bcbab9dbf53003eb9e3c180426a1fcaf45ae28380ef9454809281af

Observation 9918cf95-083b-4bd9-ae28-9fe2794d8944 · outbound

This paper cites On entropic and almost multilinear representability of matroids.

On the recognition problem for limits of entropy functions On entropic and almost multilinear representability of matroids

Reference 8

Resolution
verified exact
local_arxiv, observed 2026-08-05T00:09:47.434754Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-05T00:09:46.886364Z digest=sha256:0a696351d46f44278453c1fe168e3a3913fe0f5d265cf5e4039e8bbc3e8098c8

Observation 285161e3-cdd6-4996-84c8-908e9919920b · outbound

This paper cites 6, 3493--3510.

On the recognition problem for limits of entropy functions 6, 3493--3510

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T00:09:48.984756Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-05T00:09:46.924805Z digest=sha256:7b7ce0966ce546919f876bd8bbc92f3b9268cd17c9a7721251a02ab4324a5623

Observation 58f581f0-4b16-494b-8b53-f404b17186b3 · outbound

This paper cites 1-3, 169--194.

On the recognition problem for limits of entropy functions 1-3, 169--194

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T00:09:48.878647Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-05T00:09:46.967026Z digest=sha256:dc8f938f1772b46ef098b8fc88e64f0bb55f5aa5beb1a36870d0d7380d6cee5b

Observation c3063eb0-3c1b-4c6e-8f55-2f34ee3febbb · outbound

This paper cites 21, 2464--2477.

On the recognition problem for limits of entropy functions 21, 2464--2477

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T00:09:48.725910Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-05T00:09:47.000509Z digest=sha256:39445faf11e03b7f6b5b5f69a9c5faec1c5d7e835636a9083c3b0e52912bb257

Observation a71bef98-4558-488a-8223-dce1747440c9 · outbound

This paper cites an unresolved cited work.

On the recognition problem for limits of entropy functions Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-05T00:09:48.607531Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-05T00:09:47.010468Z digest=sha256:160c2e5acfcfb92c19c75509d0f69fa0b5be45e170f58ec3cdd77a770d8464f9

Observation 542dd834-7d8a-441e-80c0-a16f13136880 · outbound

This paper cites 01, 1--6.

On the recognition problem for limits of entropy functions 01, 1--6

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T00:09:48.481578Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-05T00:09:47.031585Z digest=sha256:4df1e82efc3fa90aa26a062ee68bae6aee1e9537b4ec46ab426abeef02d66aaf

Observation 36fff665-97e5-4851-8e00-2cdc0dd6a83a · outbound

This paper cites 2, 147--166.

On the recognition problem for limits of entropy functions 2, 147--166

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T00:09:48.366342Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-05T00:09:47.059906Z digest=sha256:2183f72442d62c73c9011501296ddfecff30080a5da0207342e1a9888253e5c3

Observation 276d4c63-70a6-4ae5-bae4-f52dc6dfe6c5 · outbound

This paper cites 3, Oxford University Press, USA, 2006.

On the recognition problem for limits of entropy functions 3, Oxford University Press, USA, 2006

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T00:09:48.266556Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-05T00:09:47.103614Z digest=sha256:a48f40ab3432c77314ea941ae4a521393be3d791b21dccd20b17a7a6d582f3b7

Observation bd6a8c20-6ed8-4ea3-a158-7315461ad5fb · outbound

This paper cites 3, 379--423.

On the recognition problem for limits of entropy functions 3, 379--423

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T00:09:48.144758Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-05T00:09:47.134752Z digest=sha256:5c9dd4537022609d2009259261b3dfe168acc7b56f71ae21b3544902bcc0aa65

Observation e1df5fb6-18e6-44f9-b943-7ec90d19a3d7 · outbound

This paper cites an unresolved cited work.

On the recognition problem for limits of entropy functions Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-05T00:09:48.013563Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-05T00:09:47.165897Z digest=sha256:de2de639e172ce79e5e374f53c2c8dde91f6a20c0cc334cc8781a2ef06221ff5

Observation 6c78f05e-32f6-4126-9123-30027ab58c4f · outbound

This paper cites 4, 1440--1452.

On the recognition problem for limits of entropy functions 4, 1440--1452

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T00:09:47.892315Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-05T00:09:47.205633Z digest=sha256:6da9a9df171a63fa00820fc7fed440879886a47e4b8c0cd7de65c00c6a0f19b8

Pith citing papers

Observation 16173a10-7a7b-4f38-84da-4c0bd58293cc · inbound

Sharp Inequalities for Products of Principal Minors of Positive Definite Matrices cites this paper.

Sharp Inequalities for Products of Principal Minors of Positive Definite Matrices On the recognition problem for limits of entropy functions

Reference 40

Resolution
verified exact
arxiv_id, observed 2026-07-04T12:59:52.533421Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-06-26T05:39:04.477374Z digest=sha256:771de211a1e41b6acba0933493b93d3921a5678298181448d5e57ea322436a47