Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-06T18:10:14.459451Z
Paper Citation Record · LEDGER
Relationship between a $\Phi^4$ matrix model and harmonic oscillator systems
As of 13 August 2026, this Paper Citation Record lists 14 of 14 outbound references and 0 inbound Pith citation observations for arXiv:2507.09454.
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 2026-08-13T06:32:02.005865+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
14 of 14 outbound references displayed
- verified exact6
- verified fuzzy0
- unresolved6
- parse uncertain0
- malformed identifier2
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation c41adbb3-af92-47ce-b8f1-a9f05f2782a8 · outbound
This paper cites 2-D Grav ity and random matrices,.
Relationship between a $\Phi^4$ matrix model and harmonic oscillator systems 2-D Grav ity and random matrices,
Reference 1
- Resolution
- verified exact
- raw_fallback, observed 2026-08-06T18:10:15.246073Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 56a51f10-04b7-441d-aef9-99017182e0b6 · outbound
This paper cites Random matrices.
Relationship between a $\Phi^4$ matrix model and harmonic oscillator systems Random matrices
Reference 2
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T18:10:13.651568Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 2e712228-c205-4279-ba45-da6b12794366 · outbound
This paper cites Real symmetric $\Phi^4$-matrix model as Calogero-Moser model.
Relationship between a $\Phi^4$ matrix model and harmonic oscillator systems Real symmetric $\Phi^4$-matrix model as Calogero-Moser model
Reference 3
- Resolution
- malformed identifier
- local_arxiv, observed 2026-08-06T18:10:15.086550Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation f8acaeed-8b58-408e-961d-83a20d078c6b · outbound
This paper cites Relat ionship between Φ 4-matrix model and N-body harmonic oscillator or Calogero-Moser mod el,.
Relationship between a $\Phi^4$ matrix model and harmonic oscillator systems Relat ionship between Φ 4-matrix model and N-body harmonic oscillator or Calogero-Moser mod el,
Reference 4
- Resolution
- verified exact
- doi, observed 2026-08-06T18:10:14.687796Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 8e232913-4b23-4380-b5b5-cd46a9f4fa66 · outbound
This paper cites Integrability of $\Phi^4$ Matrix Model as $N$-body Harmonic Oscillator System.
Relationship between a $\Phi^4$ matrix model and harmonic oscillator systems Integrability of $\Phi^4$ Matrix Model as $N$-body Harmonic Oscillator System
Reference 5
- Resolution
- verified exact
- local_arxiv, observed 2026-08-06T18:10:14.991728Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 89fb339e-29d4-4b31-9e78-010627ed0155 · outbound
This paper cites Renormalization of the noncommutative phi^3 model through the Kontsevich model.
Relationship between a $\Phi^4$ matrix model and harmonic oscillator systems Renormalization of the noncommutative phi^3 model through the Kontsevich model
Reference 6
- Resolution
- verified exact
- local_arxiv, observed 2026-08-06T18:10:14.918629Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation fe5803fd-a61f-4c24-8bcd-553bea0a325b · outbound
This paper cites Grosse and H.
Relationship between a $\Phi^4$ matrix model and harmonic oscillator systems Grosse and H
Reference 7
- Resolution
- verified exact
- raw_fallback, observed 2026-08-06T18:10:14.866755Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 45105f22-baf1-4314-a846-719d74e1bc60 · outbound
This paper cites Exact renormalization of a noncommutative \phi^3 model in 6 dimensions.
Relationship between a $\Phi^4$ matrix model and harmonic oscillator systems Exact renormalization of a noncommutative \phi^3 model in 6 dimensions
Reference 8
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T18:10:14.222377Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 572990a6-39af-458b-a359-d110e3c5497e · outbound
This paper cites Renormalisation of \phi^4-theory on noncommutative R^4 in the matrix base.
Relationship between a $\Phi^4$ matrix model and harmonic oscillator systems Renormalisation of \phi^4-theory on noncommutative R^4 in the matrix base
Reference 9
- Resolution
- malformed identifier
- no resolver link, observed 2026-08-06T18:10:14.256981Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 848f9413-9e91-4176-bbc9-059b6f287d9b · outbound
This paper cites Self-dual noncommutative \phi^4-theory in four dimensions is a non-perturbatively solvable and non-trivial quantum field theory.
Relationship between a $\Phi^4$ matrix model and harmonic oscillator systems Self-dual noncommutative \phi^4-theory in four dimensions is a non-perturbatively solvable and non-trivial quantum field theory
Reference 10
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T18:10:14.298171Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 17e993bb-5ccc-4743-9c81-430579467b05 · outbound
This paper cites A Laplacian to Com pute Intersection Numbers on Mg,n and Correlation Functions in NCQFT,.
Relationship between a $\Phi^4$ matrix model and harmonic oscillator systems A Laplacian to Com pute Intersection Numbers on Mg,n and Correlation Functions in NCQFT,
Reference 11
- Resolution
- verified exact
- doi, observed 2026-08-06T18:10:14.599590Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 8dc8d616-bdaa-426a-a3a6-2fdca7e36bf5 · outbound
This paper cites Intersection theory on the moduli spac e of curves and the matrix Airy function,.
Relationship between a $\Phi^4$ matrix model and harmonic oscillator systems Intersection theory on the moduli spac e of curves and the matrix Airy function,
Reference 12
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T18:10:14.364386Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 18302227-a72a-42b4-98fb-70848ea7a79e · outbound
This paper cites Batalin-Vilkovisky quantization of fuzzy field theories.
Relationship between a $\Phi^4$ matrix model and harmonic oscillator systems Batalin-Vilkovisky quantization of fuzzy field theories
Reference 13
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T18:10:14.416468Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 850ecfa1-849c-44ed-b104-ff7b32fc0946 · outbound
This paper cites Two-dimensional gravity and intersection theory on moduli space,.
Relationship between a $\Phi^4$ matrix model and harmonic oscillator systems Two-dimensional gravity and intersection theory on moduli space,
Reference 14
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T18:10:14.459451Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Pith citing papers
No inbound Pith citation observations are available.