Pith. sign in

Paper Citation Record · LEDGER

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

As of 9 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 2026-08-09T06:31:02.800959+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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-09T13:50:12.579815Z digest=sha256:8357f9da627bf58d4c6b64294f5d10fe6781fed4035fb9e5921c85e11d6bfcc5

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-09T13:50:12.590018Z digest=sha256:7ca86fd7f4117b048fcc4fb84948624a426c0bf4044d28e5d1be83555d12c86e

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-09T13:50:12.595300Z digest=sha256:f123fb5e3982d9d42d6ddf595ec7e645d57c6c0d8b69786da7002084e7ff8b05

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-09T13:50:12.600170Z digest=sha256:5522534f53692731ea1b03da47eee4d68932c785393b6d32a3554f75549e34ca

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-09T13:50:12.605848Z digest=sha256:82ad6dc59ce5172deddc57daa2c3e147be2a2ce6c6c590e2477f7c3e18831905

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-09T13:50:12.610588Z digest=sha256:7a76574d3862099581309789aeeaff33e1cc60b6b8961aa168ad66e5434ba866

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-09T13:50:12.615296Z digest=sha256:292d66f0a070cd95916ac72844cb182be656ef9e5427932fd92b2f7ba4194d18

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-09T13:50:12.620099Z digest=sha256:563d0245b454913467a7e10f6f3f71c86eadd759b7a0abe663ffa993ef5179a1

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-09T13:50:12.624686Z digest=sha256:0163990c9905d6d173b57f7a28be17ac1b02bf3937cb71443e99a005132ed132

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-09T13:50:12.629410Z digest=sha256:87db6e504659028cef2c52baf85427768fde9c9a7c05c2bb24698ccc9ab26c53

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-09T13:50:12.634404Z digest=sha256:a69cda760a81e88ab24812638aac8d381e0a798d93fa5b4350b8d1580bd0dd24

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-09T13:50:12.638962Z digest=sha256:6ff390b5c52026af1ee2bb6e3afe6a9ba4c7331d690fc93c9f9457476e0f419a

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-09T13:50:12.643467Z digest=sha256:511960213855a72d936afa769841bf38d438481c716928de3e4973470e9143d6

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-09T13:50:12.647865Z digest=sha256:8dc87efce82989a5f6db61f0632aef62ec836ddf48c6a25fae1db9339364df01

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-09T13:50:12.652455Z digest=sha256:087428a566fe67253cb7f9f3079dc5fdbd4c864305496b1d13e6f34b9054a2db

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-09T13:50:12.662446Z digest=sha256:85d7293f1ccd84f067e6f06dc22bed334cf8a7c15738d80b9eba3f0b33884d56

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-09T13:50:12.666891Z digest=sha256:32f087181dc7d1828cc9c65b93bdd4568e701b8afa87d8711c9389a933956591

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-09T13:50:12.671617Z digest=sha256:23308c7c1b7a225eb71d4346765177a91912f60a7b56343019ccd3be6d60f2d8

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-09T13:50:12.676147Z digest=sha256:d3979a6f48ea9719de5b6bf16b032b4fa94f2bcd4948d57a2eebe5fe821025ff

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-09T13:50:12.680766Z digest=sha256:d6d9d8b8947d0325fdeea2df934c655a628bd0fcb1b9000fdff26b6b4e6772a2

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-09T13:50:12.685243Z digest=sha256:73f5113ed506c6be48ed0c3f5a6f6dee5b1ea130bbe2ab27c695240f8c23b45d

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-09T13:50:12.689916Z digest=sha256:cf36d35893304285495447eeae093064c9844b8ac9e2e50121d170742b59c87d

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-09T13:50:12.700069Z digest=sha256:70a73c7c5bdf3328dad8fdc8ee423bf75f915439300c84895835cb1858c70748

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-09T13:50:12.704825Z digest=sha256:5da303ec19a7d2374e42a1a955636fe763d89ae67a5aa8dd9a675777dea2ad75

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-08T18:46:05.164858Z digest=sha256:412ae855624924592f2ac37464667d0bac00438db65940629ac2dabb0aae8e41