Paper Citation Record · LEDGER

Heat Kernel Methods for Multiloop Calculations in Curved Spacetime: Nonzero Spin

As of 9 August 2026, this Paper Citation Record lists 43 of 43 outbound references and 0 inbound Pith citation observations for arXiv:2507.00177.

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

pith.paper-citation-record.v1
2507.00177 v1

Coverage vector

measured 43 of 43 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-06T21:30:29.171914Z

measured 43 of 43 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+00:00

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Reference resolution

43 of 43 outbound references displayed

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External citation measurements

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Outbound references

Observation 70de1717-e2a4-4a05-820d-ee24dd4a8e97 · outbound

This paper cites Fock, Proper time in classical and quantum mechanics , Phys.

Heat Kernel Methods for Multiloop Calculations in Curved Spacetime: Nonzero Spin Fock, Proper time in classical and quantum mechanics , Phys

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:30:32.619979Z

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation b0e4d7f0-86db-44a7-8557-e1c7c7de9f62 · outbound

This paper cites Schwinger, On gauge invariance and vacuum polarization , Phys.

Heat Kernel Methods for Multiloop Calculations in Curved Spacetime: Nonzero Spin Schwinger, On gauge invariance and vacuum polarization , Phys

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-06T21:30:25.915918Z

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Unavailable: canonical work link unavailable.

Observation 3b499d44-73ac-4b9b-b227-9e4371b4cb0f · outbound

This paper cites DeWitt, Dynamical Theory of Groups and Fields , Documents on modern physics.

Heat Kernel Methods for Multiloop Calculations in Curved Spacetime: Nonzero Spin DeWitt, Dynamical Theory of Groups and Fields , Documents on modern physics

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:30:32.595538Z

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Observation 64e0c236-ee06-4100-bcbc-aef4d422b0e7 · outbound

This paper cites an unresolved cited work.

Heat Kernel Methods for Multiloop Calculations in Curved Spacetime: Nonzero Spin Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-08-06T21:30:32.581219Z

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Observation c98dbcc1-2b00-4c96-b978-013d1bfde365 · outbound

This paper cites an unresolved cited work.

Heat Kernel Methods for Multiloop Calculations in Curved Spacetime: Nonzero Spin Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-06T21:30:32.565669Z

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Observation 90dbbe2a-8602-47ce-90a9-3791a7320905 · outbound

This paper cites an unresolved cited work.

Heat Kernel Methods for Multiloop Calculations in Curved Spacetime: Nonzero Spin Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-06T21:30:32.549321Z

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 4326a949-c747-4aa0-a19d-0d9bf7bd7bfe · outbound

This paper cites an unresolved cited work.

Heat Kernel Methods for Multiloop Calculations in Curved Spacetime: Nonzero Spin Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-08-06T21:30:32.534304Z

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 1b5b2807-bf17-4dc9-afed-f3129ba3b701 · outbound

This paper cites an unresolved cited work.

Heat Kernel Methods for Multiloop Calculations in Curved Spacetime: Nonzero Spin Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-08-06T21:30:32.518815Z

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 93ce1b39-99e4-47e4-96c1-9ad8a595232f · outbound

This paper cites Fujikawa, Path Integral Measure for Gauge Invariant Fermion Theories , Phys.

Heat Kernel Methods for Multiloop Calculations in Curved Spacetime: Nonzero Spin Fujikawa, Path Integral Measure for Gauge Invariant Fermion Theories , Phys

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:30:32.504538Z

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 47756155-7861-409a-95c5-135c8b682ea6 · outbound

This paper cites Fujikawa, Path Integral for Gauge Theories with Fermions , Phys.

Heat Kernel Methods for Multiloop Calculations in Curved Spacetime: Nonzero Spin Fujikawa, Path Integral for Gauge Theories with Fermions , Phys

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:30:32.488875Z

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 0c18b9dd-6304-47b8-8034-eb8d2ac2557f · outbound

This paper cites Gasser and H.

Heat Kernel Methods for Multiloop Calculations in Curved Spacetime: Nonzero Spin Gasser and H

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-06T21:30:26.804921Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 07677a74-ca96-4946-975f-1fb5234983a2 · outbound

This paper cites an unresolved cited work.

Heat Kernel Methods for Multiloop Calculations in Curved Spacetime: Nonzero Spin Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-06T21:30:32.464397Z

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Observation 06c3a062-1897-4f56-828b-cc01efef3c37 · outbound

This paper cites Localized anomalies in orbifold gauge theories.

Heat Kernel Methods for Multiloop Calculations in Curved Spacetime: Nonzero Spin Localized anomalies in orbifold gauge theories

Reference 13

Resolution: verified exact; local_arxiv, observed 2026-08-06T21:30:30.496401Z

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation dcfa0e9f-4eaa-4549-a57b-3e280b32da16 · outbound

This paper cites Anomalies on Six Dimensional Orbifolds.

Heat Kernel Methods for Multiloop Calculations in Curved Spacetime: Nonzero Spin Anomalies on Six Dimensional Orbifolds

Reference 14

Resolution: verified exact; local_arxiv, observed 2026-08-06T21:30:30.362374Z

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 6fd3baa0-05db-46cd-b0a1-eb5d26cb940f · outbound

This paper cites Ultraviolet Sensitivity in Higher Dimensions.

Heat Kernel Methods for Multiloop Calculations in Curved Spacetime: Nonzero Spin Ultraviolet Sensitivity in Higher Dimensions

Reference 15

Resolution: verified exact; local_arxiv, observed 2026-08-06T21:30:30.249078Z

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation d0260249-26d3-4d0f-b717-9825d7743780 · outbound

This paper cites The Gospel according to DeWitt revisited: quantum effective action in braneworld models.

Heat Kernel Methods for Multiloop Calculations in Curved Spacetime: Nonzero Spin The Gospel according to DeWitt revisited: quantum effective action in braneworld models

Reference 16

Resolution: verified exact; local_arxiv, observed 2026-08-06T21:30:30.135271Z

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation ec6f4613-bc14-4600-be99-c86a47011316 · outbound

This paper cites One-Loop Effective Action in Orbifold Compactifications.

Heat Kernel Methods for Multiloop Calculations in Curved Spacetime: Nonzero Spin One-Loop Effective Action in Orbifold Compactifications

Reference 17

Resolution: verified exact; local_arxiv, observed 2026-08-06T21:30:30.034763Z

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.

Observation 39c5f175-7bb1-4d57-8fce-6a9daf71862c · outbound

This paper cites an unresolved cited work.

Heat Kernel Methods for Multiloop Calculations in Curved Spacetime: Nonzero Spin Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-08-06T21:30:32.449196Z

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 5b41627d-0a36-4962-8666-a7175f05d6a8 · outbound

This paper cites an unresolved cited work.

Heat Kernel Methods for Multiloop Calculations in Curved Spacetime: Nonzero Spin Unresolved cited work

Reference 19

Resolution: unresolved; raw_fallback, observed 2026-08-06T21:30:32.433344Z

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Observation da041807-519d-408a-a616-aa62568418aa · outbound

This paper cites an unresolved cited work.

Heat Kernel Methods for Multiloop Calculations in Curved Spacetime: Nonzero Spin Unresolved cited work

Reference 20

Resolution: unresolved; raw_fallback, observed 2026-08-06T21:30:32.417877Z

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation a82e3d51-39de-4c04-b035-411c4d3b93fe · outbound

This paper cites Three-Loop Yang-Mills beta-Function via the Covariant Background Field Method.

Heat Kernel Methods for Multiloop Calculations in Curved Spacetime: Nonzero Spin Three-Loop Yang-Mills beta-Function via the Covariant Background Field Method

Reference 21

Resolution: verified exact; local_arxiv, observed 2026-08-06T21:30:29.910702Z

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.

Observation 10d9d6f4-50c8-411a-a802-4f643a6d6c48 · outbound

This paper cites Two-Loop Cutoff Renormalization of 4-D Yang-Mills Effective Action.

Heat Kernel Methods for Multiloop Calculations in Curved Spacetime: Nonzero Spin Two-Loop Cutoff Renormalization of 4-D Yang-Mills Effective Action

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-06T21:30:27.686536Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3602c5a2-e31a-47ab-bbfb-e6284e27f6b1 · outbound

This paper cites Formula for two-loop divergent part of 4-D Yang-Mills effective action.

Heat Kernel Methods for Multiloop Calculations in Curved Spacetime: Nonzero Spin Formula for two-loop divergent part of 4-D Yang-Mills effective action

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-06T21:30:27.761444Z

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Unavailable: canonical work link unavailable.

Observation 45140b17-f273-49bb-9423-9be58a49bed0 · outbound

This paper cites Three-loop renormalization of the quantum action for a four-dimensional scalar model with quartic interaction with the usage of the background field method and a cutoff regularization.

Heat Kernel Methods for Multiloop Calculations in Curved Spacetime: Nonzero Spin Three-loop renormalization of the quantum action for a four-dimensional scalar model with quartic interaction with the usage of the background field method and a cutoff regularization

Reference 24

Resolution: verified exact; local_arxiv, observed 2026-08-06T21:30:29.778031Z

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 2caca847-0f53-4f13-b96c-073c9d42c886 · outbound

This paper cites an unresolved cited work.

Heat Kernel Methods for Multiloop Calculations in Curved Spacetime: Nonzero Spin Unresolved cited work

Reference 25

Resolution: unresolved; raw_fallback, observed 2026-08-06T21:30:32.257435Z

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 97c915e9-a07f-4f69-8f42-ebf726b98fab · outbound

This paper cites Luscher, Dimensional Regularization in the Presence of Large Background Fields , Annals Phys.

Heat Kernel Methods for Multiloop Calculations in Curved Spacetime: Nonzero Spin Luscher, Dimensional Regularization in the Presence of Large Background Fields , Annals Phys

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:30:31.926387Z

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation be5920da-6660-48bc-98a8-08c4301e5c7e · outbound

This paper cites Kodaira, INTERACTING SCALAR FIELD THEORY IN GENERAL CUR VED SPACE-TIME, Phys.

Heat Kernel Methods for Multiloop Calculations in Curved Spacetime: Nonzero Spin Kodaira, INTERACTING SCALAR FIELD THEORY IN GENERAL CUR VED SPACE-TIME, Phys

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:30:31.778472Z

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation c5e93dda-8cf0-4d5c-b0fd-d45dad05572b · outbound

This paper cites an unresolved cited work.

Heat Kernel Methods for Multiloop Calculations in Curved Spacetime: Nonzero Spin Unresolved cited work

Reference 28

Resolution: unresolved; raw_fallback, observed 2026-08-06T21:30:31.556454Z

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 6e9ef75e-c5ca-4e0e-b014-06b00c29ff9e · outbound

This paper cites Multi-Loop Zeta Function Regularization and Spectral Cutoff in Curved Spacetime.

Heat Kernel Methods for Multiloop Calculations in Curved Spacetime: Nonzero Spin Multi-Loop Zeta Function Regularization and Spectral Cutoff in Curved Spacetime

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-06T21:30:28.132529Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation aacb8e7a-e8d2-4790-a9fb-a3cb895f96c3 · outbound

This paper cites The Heat Kernel in Riemann Normal Coordinates and Multiloop Feynman Graphs in Curved Spacetime.

Heat Kernel Methods for Multiloop Calculations in Curved Spacetime: Nonzero Spin The Heat Kernel in Riemann Normal Coordinates and Multiloop Feynman Graphs in Curved Spacetime

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-06T21:30:28.207405Z

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Unavailable: canonical work link unavailable.

Observation 3b1f5d36-acc5-4866-8e17-07d32af6e4ef · outbound

This paper cites New Covariant Feynman Rules for Effective Field Theories.

Heat Kernel Methods for Multiloop Calculations in Curved Spacetime: Nonzero Spin New Covariant Feynman Rules for Effective Field Theories

Reference 31

Resolution: verified exact; local_arxiv, observed 2026-08-06T21:30:29.644620Z

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.

Observation be347350-ccad-4da5-80e0-6048b5c1393c · outbound

This paper cites Factorization of covariant Feynman graphs for the effective action.

Heat Kernel Methods for Multiloop Calculations in Curved Spacetime: Nonzero Spin Factorization of covariant Feynman graphs for the effective action

Reference 32

Resolution: verified exact; local_arxiv, observed 2026-08-06T21:30:29.523306Z

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.

Observation c6ddf3e2-2eda-429f-adeb-607bb606538f · outbound

This paper cites an unresolved cited work.

Heat Kernel Methods for Multiloop Calculations in Curved Spacetime: Nonzero Spin Unresolved cited work

Reference 33

Resolution: unresolved; raw_fallback, observed 2026-08-06T21:30:31.317462Z

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation fecf7cc4-8867-4a5a-9d6e-2a1690e36ca0 · outbound

This paper cites an unresolved cited work.

Heat Kernel Methods for Multiloop Calculations in Curved Spacetime: Nonzero Spin Unresolved cited work

Reference 34

Resolution: unresolved; raw_fallback, observed 2026-08-06T21:30:31.054414Z

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 657961aa-9729-41c9-b52a-a465517991d1 · outbound

This paper cites Dynamical symmetry breaking in curved spacetime -review-.

Heat Kernel Methods for Multiloop Calculations in Curved Spacetime: Nonzero Spin Dynamical symmetry breaking in curved spacetime -review-

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-06T21:30:28.554729Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7ed40f3f-4936-425e-891d-b13ecdeaf925 · outbound

This paper cites Local momentum space and the vector field.

Heat Kernel Methods for Multiloop Calculations in Curved Spacetime: Nonzero Spin Local momentum space and the vector field

Reference 36

Resolution: verified exact; local_arxiv, observed 2026-08-06T21:30:29.376476Z

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.

Observation e6d0b385-9057-4c01-ba3d-c0330d8c1771 · outbound

This paper cites The Universal One-Loop Effective Action with Gravity.

Heat Kernel Methods for Multiloop Calculations in Curved Spacetime: Nonzero Spin The Universal One-Loop Effective Action with Gravity

Reference 37

Resolution: unresolved; no resolver link, observed 2026-08-06T21:30:28.730190Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a3a1272a-1e66-4012-a4c9-40217f718d20 · outbound

This paper cites Willmore, Riemannian Geometry, Oxford science publications.

Heat Kernel Methods for Multiloop Calculations in Curved Spacetime: Nonzero Spin Willmore, Riemannian Geometry, Oxford science publications

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:30:30.802281Z

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.

Observation a78a6bb4-c29b-4eef-a98e-61d1e4de3aa0 · outbound

This paper cites Riemann Normal Coordinate expansions using Cadabra.

Heat Kernel Methods for Multiloop Calculations in Curved Spacetime: Nonzero Spin Riemann Normal Coordinate expansions using Cadabra

Reference 39

Resolution: unresolved; no resolver link, observed 2026-08-06T21:30:28.874562Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 36a3f3c5-7e28-4f14-9376-3485608dd8c6 · outbound

This paper cites Off-diagonal coefficients of the DeWitt-Schwinger and Hadamard representations of the Feynman propagator.

Heat Kernel Methods for Multiloop Calculations in Curved Spacetime: Nonzero Spin Off-diagonal coefficients of the DeWitt-Schwinger and Hadamard representations of the Feynman propagator

Reference 40

Resolution: unresolved; no resolver link, observed 2026-08-06T21:30:28.944041Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 52db7192-0665-42a1-9159-96bca26ed9b0 · outbound

This paper cites Off-diagonal heat-kernel expansion and its application to fields with differential constraints.

Heat Kernel Methods for Multiloop Calculations in Curved Spacetime: Nonzero Spin Off-diagonal heat-kernel expansion and its application to fields with differential constraints

Reference 41

Resolution: unresolved; no resolver link, observed 2026-08-06T21:30:29.014492Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4bfb49b6-a9e7-4fc9-856d-e78fc79594ab · outbound

This paper cites Evaluation of the general 3-loop vacuum Feynman integral.

Heat Kernel Methods for Multiloop Calculations in Curved Spacetime: Nonzero Spin Evaluation of the general 3-loop vacuum Feynman integral

Reference 42

Resolution: unresolved; no resolver link, observed 2026-08-06T21:30:29.063101Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d9522f37-a79c-4679-9628-0ecb3aca141e · outbound

This paper cites an unresolved cited work.

Heat Kernel Methods for Multiloop Calculations in Curved Spacetime: Nonzero Spin Unresolved cited work

Reference 43

Resolution: unresolved; raw_fallback, observed 2026-08-06T21:30:30.599373Z

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.

Pith citing papers

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