Pith. sign in

Paper Citation Record · LEDGER

The $\text{FP}^\text{NP}$ versus #P dichotomy for #EO

As of 10 August 2026, this Paper Citation Record lists 28 of 28 outbound references and 1 inbound Pith citation observation for arXiv:2502.02012.

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

pith.paper-citation-record.v1
2502.02012 v2

Coverage vector

measured 28 of 28 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-09T13:50:12.704825Z

measured 29 of 29 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-10T06:31:04.303077+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-08T18:46:05.164858Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-08T18:46:05.304985Z

Reference resolution

28 of 28 outbound references displayed

  • verified exact2
  • verified fuzzy22
  • unresolved4
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 61da633c-7d76-40ea-9413-391f8c2c8332 · outbound

This paper cites Computational complexity: a modern approach.

The $\text{FP}^\text{NP}$ versus #P dichotomy for #EO Computational complexity: a modern approach

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-09T13:50:12.574630Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-09T13:50:12.574630Z digest=sha256:8e4c4b7aeae323e1367ea23f90c5161aec8a7e03e498ea528def8bdd9667e5f6

Observation 0b724e7c-ecba-4966-848b-2138507048b1 · outbound

This paper cites A complete dichotomy for complex-valued Holant^c.

The $\text{FP}^\text{NP}$ versus #P dichotomy for #EO A complete dichotomy for complex-valued Holant^c

Reference 2

Resolution
verified exact
local_arxiv, observed 2026-08-09T13:50:12.818888Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-09T13:50:12.579815Z digest=sha256:6bf8ce19d15b78a2605b714b503f8deed23fc79f456eab2c45d0f16afbfe60d3

Observation b4760a75-416a-4221-ba60-17be0bbaf679 · outbound

This paper cites Between the stochastic six vertex model and Hall-Littlewood processes.

The $\text{FP}^\text{NP}$ versus #P dichotomy for #EO Between the stochastic six vertex model and Hall-Littlewood processes

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-09T13:50:12.584850Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-09T13:50:12.584850Z digest=sha256:d4c78eb9b84b3648e747f256a13c27072a50fe845ad8e4b3c1268719011468f4

Observation e31e88dc-05f9-40c2-8bd0-ea77f6f4cc7e · outbound

This paper cites Stochastic six-vertex model.

The $\text{FP}^\text{NP}$ versus #P dichotomy for #EO Stochastic six-vertex model

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T13:50:13.149399Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-09T13:50:12.590018Z digest=sha256:1687052fd04db60f481426acd6e589d61235b7f78ea7193dee9e75557c71903f

Observation 175fa06d-425d-499d-ae71-d1c66a22aaa5 · outbound

This paper cites Proofs and confirmations: the story of the alternating-sign matrix conjecture.

The $\text{FP}^\text{NP}$ versus #P dichotomy for #EO Proofs and confirmations: the story of the alternating-sign matrix conjecture

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T13:50:13.134349Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-09T13:50:12.595300Z digest=sha256:ca715db463e6b73287d439f491b83e69467ae3427a6a5838cbc72ff760ab6129

Observation dab6204b-c99b-49e9-aa61-18c51058d32d · outbound

This paper cites Complexity dichotomies for counting problems: Volume 1, Boolean domain.

The $\text{FP}^\text{NP}$ versus #P dichotomy for #EO Complexity dichotomies for counting problems: Volume 1, Boolean domain

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T13:50:13.119218Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-09T13:50:12.600170Z digest=sha256:cd50d7dfd309def0ed60f0cb68ba54f2156cdcd0a2add7543f4316423741d5b0

Observation a39981b4-acb9-416f-b47a-24bc6378a04b · outbound

This paper cites Complexity classification of the eight-vertex model.

The $\text{FP}^\text{NP}$ versus #P dichotomy for #EO Complexity classification of the eight-vertex model

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T13:50:13.104103Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-09T13:50:12.605848Z digest=sha256:72c24260f438e694d6db9cca6aad1baf4aa767083b011a78db05a4c138c0cea0

Observation c4c0339b-fcb1-418d-a22f-b7f8307d050f · outbound

This paper cites Beyond \# CSP : A dichotomy for counting weighted Eulerian orientations with ARS.

The $\text{FP}^\text{NP}$ versus #P dichotomy for #EO Beyond \# CSP : A dichotomy for counting weighted Eulerian orientations with ARS

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T13:50:13.088209Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-09T13:50:12.610588Z digest=sha256:cd3dea0eff4e1f7a2e759b9046076080f421e5aad4bbdd7958b757e16580f4a1

Observation 0c2c8aaf-c11b-4930-9b8e-3f741fa4dca7 · outbound

This paper cites Complexity classification of the six-vertex model.

The $\text{FP}^\text{NP}$ versus #P dichotomy for #EO Complexity classification of the six-vertex model

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T13:50:13.073364Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-09T13:50:12.615296Z digest=sha256:fc180bf024734d658f8de50214226cf72426c7a2b009a6ba315d1ad1bbdaf699

Observation 1b3e8ec3-1a34-46ab-81d7-9f50e916236d · outbound

This paper cites A complete dichotomy rises from the capture of vanishing signatures.

The $\text{FP}^\text{NP}$ versus #P dichotomy for #EO A complete dichotomy rises from the capture of vanishing signatures

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T13:50:13.057297Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-09T13:50:12.620099Z digest=sha256:9aca5cbebe15de1df4ab07d2e0f342abc40314bb0e65509dd54b44f19181ca50

Observation 79c461eb-c19e-4db0-95d9-48a4291f5df4 · outbound

This paper cites Holant problems and counting CSP.

The $\text{FP}^\text{NP}$ versus #P dichotomy for #EO Holant problems and counting CSP

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T13:50:13.042678Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-09T13:50:12.624686Z digest=sha256:b972db80bb82f0c87c1c2a40a0e8b834c852b52418554532fd27062061451e28

Observation 19adddbb-607f-4296-8bfd-090e1d8e2754 · outbound

This paper cites The complexity of complex weighted Boolean \# CSP.

The $\text{FP}^\text{NP}$ versus #P dichotomy for #EO The complexity of complex weighted Boolean \# CSP

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T13:50:13.029157Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-09T13:50:12.629410Z digest=sha256:181bc9f484bdec42179952684dd2a7896c85cd3bf87c0501912b6a4f818d595e

Observation 59a844e4-a1e9-4795-ad70-0f62d87772fa · outbound

This paper cites Classification of bipartite boolean constraint satisfaction through delta-matroid intersection.

The $\text{FP}^\text{NP}$ versus #P dichotomy for #EO Classification of bipartite boolean constraint satisfaction through delta-matroid intersection

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T13:50:13.014190Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-09T13:50:12.634404Z digest=sha256:452c2bce9110bd039bc8450fbf99c40f1177fc7e2dfd4f13dfafb39bf27ef41b

Observation 4ba1dd59-94c1-4ca5-bfe5-6596590e9e9a · outbound

This paper cites Calculation of norms of bethe wave functions.

The $\text{FP}^\text{NP}$ versus #P dichotomy for #EO Calculation of norms of bethe wave functions

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T13:50:13.000116Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-09T13:50:12.638962Z digest=sha256:09b07ebcad4d075f17b1012aaebb468a5cb416f1f8891bca1598c895a67bda8e

Observation 389d8b9a-551b-4388-8fe6-7f16ed8a19cb · outbound

This paper cites Another proof of the alternative-sign matrix conjecture.

The $\text{FP}^\text{NP}$ versus #P dichotomy for #EO Another proof of the alternative-sign matrix conjecture

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T13:50:12.985990Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-09T13:50:12.643467Z digest=sha256:06fb799a2c1d640aa8b2a106e3cae6901dc2c01056c7f5342495902354900b8b

Observation 0f1c28e7-2614-4a4e-8a62-79353ad69910 · outbound

This paper cites Residual entropy of square ice.

The $\text{FP}^\text{NP}$ versus #P dichotomy for #EO Residual entropy of square ice

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T13:50:12.970958Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-09T13:50:12.647865Z digest=sha256:ae89a27fc9283b1aafd8714827bc29aeff20776283b84ef7edf2eac18a239c85

Observation ad079d65-5cb3-41a4-a8c7-3451c349c5de · outbound

This paper cites The complexity of Boolean Holant problems with nonnegative weights.

The $\text{FP}^\text{NP}$ versus #P dichotomy for #EO The complexity of Boolean Holant problems with nonnegative weights

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T13:50:12.956317Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-09T13:50:12.652455Z digest=sha256:7ef0f1ce2ae80ecf08d5324f7992126540d264a87a604bc6f2ba88d64bca0309

Observation 9b059bcc-85ab-4c5f-8a50-e7990f5188cb · outbound

This paper cites P-time Algorithms for Typical #EO Problems.

The $\text{FP}^\text{NP}$ versus #P dichotomy for #EO P-time Algorithms for Typical #EO Problems

Reference 18

Resolution
unresolved
no resolver link, observed 2026-08-09T13:50:12.657537Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-09T13:50:12.657537Z digest=sha256:a1ae7f8431069f0a65a1b637566b0577152d964dca46e3dd642748d453a139d5

Observation 6316d7a2-66c8-460c-b89a-a7cd08ded807 · outbound

This paper cites On the number of eulerian orientations of a graph.

The $\text{FP}^\text{NP}$ versus #P dichotomy for #EO On the number of eulerian orientations of a graph

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T13:50:12.940746Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-09T13:50:12.662446Z digest=sha256:a5adbd266c3c47f1e717510565e0ff6c8f66f370efa75fd05549d841c05fc45e

Observation 1f6d4334-6cb2-4f95-981d-bd79cb8806ad · outbound

This paper cites Alternating sign matrices and descending plane partitions.

The $\text{FP}^\text{NP}$ versus #P dichotomy for #EO Alternating sign matrices and descending plane partitions

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T13:50:12.925164Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-09T13:50:12.666891Z digest=sha256:e44723ce4f04e37ee1e476ae4d7312bf57be070345e2890049fc5c41c7158968

Observation 7e821343-68bf-4662-889f-7896bb3289e5 · outbound

This paper cites Stochastic higher spin six vertex model and q-taseps.

The $\text{FP}^\text{NP}$ versus #P dichotomy for #EO Stochastic higher spin six vertex model and q-taseps

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T13:50:12.911168Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-09T13:50:12.671617Z digest=sha256:2407070426ee0d90250e930be53bb4ee4c134b5555c5fee2a865a14ff09b9986

Observation db81ce5b-d9fc-4dd5-b88d-517c4429bde8 · outbound

This paper cites The structure and entropy of ice and of other crystals with some randomness of atomic arrangement.

The $\text{FP}^\text{NP}$ versus #P dichotomy for #EO The structure and entropy of ice and of other crystals with some randomness of atomic arrangement

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T13:50:12.894764Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-09T13:50:12.676147Z digest=sha256:d1e187e93509e5558b77e4041d89fa5e68261e5d73baa1fef95ab284884053c5

Observation 415673ac-13a3-43c7-a78a-d9ce8e34f0db · outbound

This paper cites Computational geometry: an introduction.

The $\text{FP}^\text{NP}$ versus #P dichotomy for #EO Computational geometry: an introduction

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T13:50:12.879299Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-09T13:50:12.680766Z digest=sha256:6b8fcdddd7c37bfc67c15119312397f274b93331bfee1ee3f840d9f2c6974655

Observation 472989e3-46fa-4505-97b8-36716f30077b · outbound

This paper cites Über ein zweidimensionales klassisches konfigurationsmodell.

The $\text{FP}^\text{NP}$ versus #P dichotomy for #EO Über ein zweidimensionales klassisches konfigurationsmodell

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T13:50:12.865234Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-09T13:50:12.685243Z digest=sha256:a30266db2609a99241df26f1d2017ee60445e6d29ad1a8686f399f3d48f82369

Observation f12655da-aee3-4170-b44f-87dc00ce6f52 · outbound

This paper cites A dichotomy for real Boolean Holant problems.

The $\text{FP}^\text{NP}$ versus #P dichotomy for #EO A dichotomy for real Boolean Holant problems

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T13:50:12.849357Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-09T13:50:12.689916Z digest=sha256:5077b6b52ebf1a99a21fe9a707ea8bcc0e6ac0f1062407a8ea2aef1defa2b9f0

Observation ba0fd654-50c7-457d-a73f-c45a1e479407 · outbound

This paper cites Eulerian orientations and Hadamard codes: A novel connection via counting.

The $\text{FP}^\text{NP}$ versus #P dichotomy for #EO Eulerian orientations and Hadamard codes: A novel connection via counting

Reference 26

Resolution
unresolved
no resolver link, observed 2026-08-09T13:50:12.695142Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-09T13:50:12.695142Z digest=sha256:5fdb935b8e91a607c8a648a90a067217aab437a85fc10935bd20e7f58c311f5c

Observation f132bb72-26ea-42b3-9c9b-3c1b2779e9eb · outbound

This paper cites Theory of the transition in kh2po4.

The $\text{FP}^\text{NP}$ versus #P dichotomy for #EO Theory of the transition in kh2po4

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T13:50:12.834225Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-09T13:50:12.700069Z digest=sha256:e2b7e1e62c4c59b54d3cb6d4a318e6d4b3c8e1c09d58656f131ee3d7e2833a40

Observation 6a23b3f0-dd0d-4b61-9afb-5bd90dfd94af · outbound

This paper cites Proof of the Alternating Sign Matrix Conjecture.

The $\text{FP}^\text{NP}$ versus #P dichotomy for #EO Proof of the Alternating Sign Matrix Conjecture

Reference 28

Resolution
verified exact
local_arxiv, observed 2026-08-09T13:50:12.749541Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-09T13:50:12.704825Z digest=sha256:28bedae84e5edfb3b24baafd59442cf119d0396ecc4d2663ed0e895de6bd23b1

Pith citing papers

Observation 000e08e1-18a8-4806-96b1-47124c8f0768 · inbound

From an odd arity signature to a Holant dichotomy cites this paper.

From an odd arity signature to a Holant dichotomy The $\text{FP}^\text{NP}$ versus #P dichotomy for #EO

Reference 2025

Resolution
metadata mismatch
local_arxiv, observed 2026-08-08T18:46:05.309867Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-08T18:46:05.164858Z digest=sha256:15a2d0e7a02f217466942b7c4aa2667ce4edada4f36782016ab28875ce438e40