Pith. sign in

Paper Citation Record · LEDGER

From an odd arity signature to a Holant dichotomy

As of 10 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 2026-08-09T06:31:02.800959+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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-08T18:46:05.144445Z digest=sha256:ced68d812dff11041523a5c4db2a5ed518e5e28a7f7f8f5a0aae6b75913af65f

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

source=pdf_text observed=2026-08-08T18:46:05.159134Z digest=sha256:5199212e201244aea2a3616d837f5cfb514cc565e72ecf19ab4d79cfc944c009

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

source=pdf_text observed=2026-08-08T18:46:05.169407Z digest=sha256:70926ceadf5b860c7eb053069fca0419ad468894658de3db2fafe54ee20a1e8e

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

source=pdf_text observed=2026-08-08T18:46:05.174352Z digest=sha256:03f62539d58ed03dff20ece8ae94d4e5f88c7e2835717240e0ca905fd37a0a05

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

source=pdf_text observed=2026-08-08T18:46:05.180087Z digest=sha256:0e02b093e0562f3aaeb54e67df92d9ca84787a792ea413d379a5c3fb9056b206

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

source=pdf_text observed=2026-08-08T18:46:05.125331Z digest=sha256:1c03a9627426fff35e7b30f9d5915ba8ef599a09fb08be18772fd9609f311f49

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=sha256:174d269335eb2247e6c904830e5654f367749188db891232aa980da659eb2d75

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

source=pdf_text observed=2026-08-08T18:46:05.139817Z digest=sha256:dae698046aa9b1b7a4767235170c024a2f8724d3fb5ea27dab21f78e361cdd83

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

source=pdf_text observed=2026-08-08T18:46:05.153366Z digest=sha256:15d5be4c4d96b2b7a19a4990e038251ebb1941ed288b49b80d7d54ef8376e6b4

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=sha256:5d918982f8de32d530e20f6e16ccf3cfc95d8d396e8c98b2ca2df9ca8d54fad5

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

source=pdf_text observed=2026-08-08T18:46:05.130498Z digest=sha256:41a13a3d77fc2bdd973c1d87a7df07024c59f24aa5f789fdf3f499c7f246aee0

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

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

Pith citing papers

No inbound Pith citation observations are available.