Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-08T16:34:28.648259Z
Paper Citation Record · LEDGER
The spectral Einstein functional for the nonminimal de Rham-Hodge operator
As of 23 August 2026, this Paper Citation Record lists 21 of 21 outbound references and 0 inbound Pith citation observations for arXiv:2502.06224.
A citation records a reference. It does not transfer a finding from one paper to another.
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One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-23T06:30:58.430688+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
21 of 21 outbound references displayed
- verified exact1
- verified fuzzy19
- unresolved1
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 1ae00f3f-9835-4719-8143-82f7ffc18b90 · outbound
This paper cites Spectral interaction between univ erses.
The spectral Einstein functional for the nonminimal de Rham-Hodge operator Spectral interaction between univ erses
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-08T16:34:29.002633Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 3a7d886c-4e02-45a6-827b-adbef822f2ef · outbound
This paper cites Quantized calculus and applications.
The spectral Einstein functional for the nonminimal de Rham-Hodge operator Quantized calculus and applications
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-08T16:34:28.991203Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation abe7a7a1-58af-4262-add6-c3c63643aea2 · outbound
This paper cites The action functinal in noncommutative geomet ry.
The spectral Einstein functional for the nonminimal de Rham-Hodge operator The action functinal in noncommutative geomet ry
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-08T16:34:28.981671Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 73c5730f-44fe-4bc3-b90f-4849f31a626f · outbound
This paper cites Inner fluctuations of the spectr al action.
The spectral Einstein functional for the nonminimal de Rham-Hodge operator Inner fluctuations of the spectr al action
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-08T16:34:28.973645Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 67fefa11-903b-4434-adc0-02ff53c2cae1 · outbound
This paper cites Noncommutative Geometry.
The spectral Einstein functional for the nonminimal de Rham-Hodge operator Noncommutative Geometry
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-08T16:34:28.965515Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 4b539938-e383-4e89-8f8c-b1e951e88b8d · outbound
This paper cites Spectral metric and Ein stein functionals.
The spectral Einstein functional for the nonminimal de Rham-Hodge operator Spectral metric and Ein stein functionals
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-08T16:34:28.957139Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 4d237f3e-f6f0-4c43-b515-530d9ddcf63d · outbound
This paper cites Spectral metric and Ein stein functionals for the Hodge-Dirac operator.
The spectral Einstein functional for the nonminimal de Rham-Hodge operator Spectral metric and Ein stein functionals for the Hodge-Dirac operator
Reference 7
- Resolution
- verified exact
- doi, observed 2026-08-08T16:34:28.672080Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation e79d840e-49f3-4698-8fc4-452f857a67fd · outbound
This paper cites The noncommu tative residue for manifolds with boundary.
The spectral Einstein functional for the nonminimal de Rham-Hodge operator The noncommu tative residue for manifolds with boundary
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-08T16:34:28.948456Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 0e8420fc-c358-44f4-ac49-736a2a8e1dd0 · outbound
This paper cites A no nperturbative form of the spectral action principle in nonc om- mutative geometry.
The spectral Einstein functional for the nonminimal de Rham-Hodge operator A no nperturbative form of the spectral action principle in nonc om- mutative geometry
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-08T16:34:28.939947Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 9ddd9477-d659-4f27-97cd-116fa9a876b6 · outbound
This paper cites The Dirac operator and gravitation.
The spectral Einstein functional for the nonminimal de Rham-Hodge operator The Dirac operator and gravitation
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-08T16:34:28.931455Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation a1a9186a-138c-4f55-bcbe-9a957620f822 · outbound
This paper cites Gravity, noncommutative geometry and the W odzicki residue.
The spectral Einstein functional for the nonminimal de Rham-Hodge operator Gravity, noncommutative geometry and the W odzicki residue
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-08T16:34:28.922561Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 768ae418-06ea-4ae0-ba11-50624edc1581 · outbound
This paper cites Chiral asymmetry and the spectral a ction.
The spectral Einstein functional for the nonminimal de Rham-Hodge operator Chiral asymmetry and the spectral a ction
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-08T16:34:28.863999Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 4d29a4d2-6996-427b-a518-37bc5a8c4972 · outbound
This paper cites Noncommutative residue I: Fundamentals, in K- theory, Arithmetic and Geometry, Yu.
The spectral Einstein functional for the nonminimal de Rham-Hodge operator Noncommutative residue I: Fundamentals, in K- theory, Arithmetic and Geometry, Yu
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-08T16:34:28.806573Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 5024a6da-657e-4cf5-b394-cd3a6afc0e42 · outbound
This paper cites Differential forms and the W odzicki residue for m anifolds with boundary.
The spectral Einstein functional for the nonminimal de Rham-Hodge operator Differential forms and the W odzicki residue for m anifolds with boundary
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-08T16:34:28.758913Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 4494157c-1d1c-44b9-9c12-4f8a062532e0 · outbound
This paper cites Gravity and the noncommutative residue for mani folds with boundary.
The spectral Einstein functional for the nonminimal de Rham-Hodge operator Gravity and the noncommutative residue for mani folds with boundary
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-08T16:34:28.734103Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 6f5744f4-d1e3-44ef-8c7c-cac6ba8aa3a7 · outbound
This paper cites Lower-dimensional volumes and Kastler-Kalau- W alze type theorem for manifolds with boundary.
The spectral Einstein functional for the nonminimal de Rham-Hodge operator Lower-dimensional volumes and Kastler-Kalau- W alze type theorem for manifolds with boundary
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-08T16:34:28.724723Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation c08f0185-f922-4791-91eb-c83c1eab394d · outbound
This paper cites Nonminimal de Rham-Hodge op erators and non-commutative residue.
The spectral Einstein functional for the nonminimal de Rham-Hodge operator Nonminimal de Rham-Hodge op erators and non-commutative residue
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-08T16:34:28.716156Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation dd5ce483-acbf-4996-956f-4c50aac2aac7 · outbound
This paper cites Dirac operators with torsion, spect ral Einstein functionals and the noncommutative residue.
The spectral Einstein functional for the nonminimal de Rham-Hodge operator Dirac operators with torsion, spect ral Einstein functionals and the noncommutative residue
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-08T16:34:28.707352Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 3cb71c53-ec0c-4633-8a69-81107af867bd · outbound
This paper cites The Witten deformation of the non-minimal d e Rham-Hodge operator and noncommutative residue on manifolds with boundary.
The spectral Einstein functional for the nonminimal de Rham-Hodge operator The Witten deformation of the non-minimal d e Rham-Hodge operator and noncommutative residue on manifolds with boundary
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-08T16:34:28.698435Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 54f115b3-e67a-4add-9c6c-65c1d69f36eb · outbound
This paper cites The spectral Einstein functional for the Dirac operator with torsion.
The spectral Einstein functional for the nonminimal de Rham-Hodge operator The spectral Einstein functional for the Dirac operator with torsion
Reference 21
- Resolution
- unresolved
- no resolver link, observed 2026-08-08T16:34:28.645565Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 61b10aa4-00f9-448b-90c9-baceef8802bb · outbound
This paper cites The Index Theorem and The Heat Equation Method.
The spectral Einstein functional for the nonminimal de Rham-Hodge operator The Index Theorem and The Heat Equation Method
Reference 22
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-08T16:34:28.689892Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Pith citing papers
No inbound Pith citation observations are available.