Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-05-24T14:11:15.347472Z
Paper Citation Record · LEDGER
Hafnian of two-parameter matrices
As of 4 August 2026, this Paper Citation Record lists 10 of 10 outbound references and 1 inbound Pith citation observation for arXiv:2101.09722.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-03T06:30:56.289259+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-05-10T18:04:24.209217Z
A source-named dated measurement, never combined with another source.
Source: pith, observed 2026-05-11T05:35:57.006273Z
Reference resolution
10 of 10 outbound references displayed
- verified exact0
- verified fuzzy10
- unresolved0
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 107362f5-6f51-4591-84a4-9999c0d25e05 · outbound
This paper cites A faster hafnian formula for complex matrices and its benchmarking on a supercomputer // ACM Journal of Experimental Algorithmics.
Hafnian of two-parameter matrices A faster hafnian formula for complex matrices and its benchmarking on a supercomputer // ACM Journal of Experimental Algorithmics
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-24T14:14:34.006742Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.
Observation f65aa451-d8ab-442e-bc59-36e4c4e8405e · outbound
This paper cites Enumeration of Dimer (Domino) Configurations // Discrete Mathematics.
Hafnian of two-parameter matrices Enumeration of Dimer (Domino) Configurations // Discrete Mathematics
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-24T14:14:34.002788Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.
Observation b3748e3f-07f6-4e7d-9511-5caf96ce34f0 · outbound
This paper cites Enumeration of chord diagrams without loops and parallel chords // The Electronic Journal of Combinatorics.
Hafnian of two-parameter matrices Enumeration of chord diagrams without loops and parallel chords // The Electronic Journal of Combinatorics
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-24T14:14:33.998292Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.
Observation a28cd65d-c583-4f03-a27d-e13a49511c89 · outbound
This paper cites Linear chord diagrams with long chords // The Electronic Jour- nal of Combinatorics.
Hafnian of two-parameter matrices Linear chord diagrams with long chords // The Electronic Jour- nal of Combinatorics
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-24T14:14:33.995278Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.
Observation 0fddc6a3-18ba-4149-9868-253c4e115627 · outbound
This paper cites The hafnian and a commutative analogue of the Grassmann algebra // Electronic Journal of Linear Algebra.
Hafnian of two-parameter matrices The hafnian and a commutative analogue of the Grassmann algebra // Electronic Journal of Linear Algebra
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-24T14:14:33.991911Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.
Observation 22e53959-3151-40ed-a3ae-16ca5bb7566d · outbound
This paper cites Complementary Matching Vectors and the Uniform Matching Extension Property // European Journal of Combinatorics.
Hafnian of two-parameter matrices Complementary Matching Vectors and the Uniform Matching Extension Property // European Journal of Combinatorics
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-24T14:14:33.988283Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.
Observation 27e12510-9a0b-4402-9c58-e9bef5c32fe2 · outbound
This paper cites The Number of Domino Matchings in the Game of Memory // Journal of Integer Sequences.
Hafnian of two-parameter matrices The Number of Domino Matchings in the Game of Memory // Journal of Integer Sequences
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-24T14:14:33.984638Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.
Observation 4734533a-e489-4a03-9ac8-e1f906b807be · outbound
This paper cites The hafnian of Toeplitz matrices of special type, perfect matchings and Bessel polynomials // Bulletin of Syktyvkar University.
Hafnian of two-parameter matrices The hafnian of Toeplitz matrices of special type, perfect matchings and Bessel polynomials // Bulletin of Syktyvkar University
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-24T14:14:33.981044Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.
Observation 548b17a8-b5af-488c-9427-82d6fce12d1b · outbound
This paper cites Sloane, editor The On-Line Encyclopedia of Integer Sequences, pub- lished electronically at https://oeis.org.
Hafnian of two-parameter matrices Sloane, editor The On-Line Encyclopedia of Integer Sequences, pub- lished electronically at https://oeis.org
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-24T14:14:33.977873Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.
Observation 3988a3a3-8a02-464e-98ba-ca59fc5c66c6 · outbound
This paper cites Statistics on Linear Chord Diagrams // Dis- crete Mathematics and Theoretical Computer Science.
Hafnian of two-parameter matrices Statistics on Linear Chord Diagrams // Dis- crete Mathematics and Theoretical Computer Science
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-24T14:14:33.974695Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.
Pith citing papers
Observation a4ec6d37-b448-4682-9fde-bd753dbb3e0b · inbound
Complexity phase transition for continuous-variable cluster state cites this paper.
Complexity phase transition for continuous-variable cluster state Hafnian of two-parameter matrices
Reference 38
- Resolution
- verified exact
- local_arxiv, observed 2026-05-11T05:35:57.012512Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.