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Paper Citation Record · LEDGER

From an odd arity signature to a Holant dichotomy

As of 22 August 2026, this Paper Citation Record lists 12 of 12 outbound references and 0 inbound Pith citation observations for arXiv:2502.05597.

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

pith.paper-citation-record.v1
2502.05597 v1

Coverage vector

measured 12 of 12 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-08T18:46:05.180087Z

measured 12 of 12 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-22T06:32:14.747728+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

12 of 12 outbound references displayed

  • verified exact7
  • verified fuzzy1
  • unresolved1
  • parse uncertain0
  • malformed identifier2
  • metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 3b2d524f-f650-403b-a38c-65fecf333a53 · outbound

This paper cites 15 Jin-Yi Cai, Pinyan Lu, and Mingji Xia.

From an odd arity signature to a Holant dichotomy 15 Jin-Yi Cai, Pinyan Lu, and Mingji Xia

Reference 5

Resolution
malformed identifier
raw_fallback, observed 2026-08-08T18:46:05.452286Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-08T18:46:05.144445Z digest=sha256:db30a0b81692d0fa9ab48a7325d6b38f7d4e110140946a60188d164f745d98b1

Observation 7ce09ec6-ed98-413d-83dc-b6cbe769710e · outbound

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

From an odd arity signature to a Holant dichotomy P-time Algorithms for Typical #EO Problems

Reference 8

Resolution
verified exact
local_arxiv, observed 2026-08-08T18:46:05.329498Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-08T18:46:05.159134Z digest=sha256:0ddd22cb65cefd34e1813f2b12fb933d95d1c78005a8dd29ce1264cf7d061c44

Observation c98c76df-fc9d-40ad-92d6-ec452d5825ce · outbound

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

From an odd arity signature to a Holant dichotomy Eulerian orientations and Hadamard codes: A novel connection via counting

Reference 10

Resolution
verified exact
local_arxiv, observed 2026-08-08T18:46:05.281378Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-08T18:46:05.169407Z digest=sha256:91342c0683237bd6bd6f6854b31fbe4971f90ee5f3e1fa7036ad9dec0f822367

Observation e5e4e96b-1693-4bc7-ba2e-ab4d686d073c · outbound

This paper cites 28 Leslie G Valiant.

From an odd arity signature to a Holant dichotomy 28 Leslie G Valiant

Reference 2006

Resolution
verified exact
doi, observed 2026-08-08T18:46:05.216456Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-08T18:46:05.174352Z digest=sha256:2e6d90f208e689b7b396cdf5af9e84e84b24223b770fd47f4589444a5b871f32

Observation 9fa5fc36-f0f6-4c4e-bd4f-191108f840f4 · outbound

This paper cites The computational complexity of Holant problems on 3-regular graphs.Theoretical Computer Science, 982:114256, 2024.

From an odd arity signature to a Holant dichotomy The computational complexity of Holant problems on 3-regular graphs.Theoretical Computer Science, 982:114256, 2024

Reference 2008

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T18:46:05.539260Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-08T18:46:05.180087Z digest=sha256:a1e6f75be3651078d0452d40d413f02f2e7406c2b6006808160a382d27ca4cc1

Observation 8c2203e0-a4f5-4ca3-8319-cad0d18ba26d · outbound

This paper cites A new Holant dichotomy inspired by quantum computation.

From an odd arity signature to a Holant dichotomy A new Holant dichotomy inspired by quantum computation

Reference 2009

Resolution
verified exact
local_arxiv, observed 2026-08-08T18:46:05.525124Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-08T18:46:05.125331Z digest=sha256:50d438f1d7661f6bf2ccaac7804fb7b6c07721c4a74075c22dbc7e292004b75c

Observation f745f732-ac56-41af-8921-f287e664381a · outbound

This paper cites 30 From an odd arity signature to a Holant dichotomy 16 Jin-Yi Cai, Pinyan Lu, and Mingji Xia.

From an odd arity signature to a Holant dichotomy 30 From an odd arity signature to a Holant dichotomy 16 Jin-Yi Cai, Pinyan Lu, and Mingji Xia

Reference 2011

Resolution
unresolved
no resolver link, observed 2026-08-08T18:46:05.148947Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-08T18:46:05.148947Z digest=sha256:24754cc5876f79411b496f5079a7eef434f626a79ee70d954be191cc22bf1249

Observation dd4fbcdd-fd9b-4199-a450-dbf47b3569af · outbound

This paper cites 12 Jin-Yi Cai, Heng Guo, and Tyson Williams.

From an odd arity signature to a Holant dichotomy 12 Jin-Yi Cai, Heng Guo, and Tyson Williams

Reference 2013

Resolution
verified exact
arxiv_id_nonexistent, observed 2026-08-08T18:46:05.487023Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-08T18:46:05.139817Z digest=sha256:1000780c77ea51fcd7791aec74951934cae3ea9a2765dcfb5ae55cfdde498907

Observation 8eaea598-0d68-40fb-8314-8030af8e0417 · outbound

This paper cites 22 Jiabao Lin and Hanpin Wang.

From an odd arity signature to a Holant dichotomy 22 Jiabao Lin and Hanpin Wang

Reference 2016

Resolution
verified exact
doi, observed 2026-08-08T18:46:05.232639Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-08T18:46:05.153366Z digest=sha256:4683c0ac7780a512a7947f64db3c2058449219b9c376939479d446419bde899b

Observation d0a2cfce-31ec-4bd9-af03-1b7fe1907b50 · outbound

This paper cites 2018.01.003.

From an odd arity signature to a Holant dichotomy 2018.01.003

Reference 2018

Resolution
malformed identifier
no resolver link, observed 2026-08-08T18:46:05.135103Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-08T18:46:05.135103Z digest=sha256:dabd7153c91c4ff42036a7eb7b1107f74e92213bce9bcc893fc969be7c7cf559

Observation 506aa679-790b-4f47-9fdc-2e0fe705d0eb · outbound

This paper cites From Holant to Quantum Entanglement and Back.

From an odd arity signature to a Holant dichotomy From Holant to Quantum Entanglement and Back

Reference 2020

Resolution
verified exact
local_arxiv, observed 2026-08-08T18:46:05.505556Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-08T18:46:05.130498Z digest=sha256:5f94fa012d66a2aa371de38e945b0facdce406a3ffa18973f80efa9c1f9924c5

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

This paper cites The $\text{FP}^\text{NP}$ versus #P dichotomy for #EO.

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-08T18:46:05.164858Z digest=sha256:1a0b11884ce24272423d74b35bd65c3b50c54ad237e1dfad38d04104f22db138

Pith citing papers

No inbound Pith citation observations are available.