Paper Citation Record · LEDGER

Heat Kernel and Resurgence

As of 23 August 2026, this Paper Citation Record lists 45 of 45 outbound references and 0 inbound Pith citation observations for arXiv:2606.21909.

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

pith.paper-citation-record.v1
2606.21909 v1

Coverage vector

measured 45 of 45 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-06-26T11:34:56.443385Z

measured 45 of 45 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-22T06:32:14.747728+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

45 of 45 outbound references displayed

verified exact4
verified fuzzy0
unresolved41
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malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 9b452e79-d342-4069-9228-cbdb8d85f982 · outbound

This paper cites an unresolved cited work.

Heat Kernel and Resurgence Unresolved cited work

Reference 1

Resolution: unresolved; no resolver link, observed 2026-06-26T11:34:56.443385Z

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Unavailable: canonical work link unavailable.

Observation 7c0d1ab0-a6f3-414b-8808-664703f85ec0 · outbound

This paper cites Azad.Levi-curvature of manifolds with a Stein rational fibration.

Heat Kernel and Resurgence Azad.Levi-curvature of manifolds with a Stein rational fibration

Reference 2

Resolution: unresolved; no resolver link, observed 2026-06-26T11:34:56.443385Z

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Observation 985894e4-2c6c-41f2-aa8b-f57e464f1cd3 · outbound

This paper cites Balser.From Divergent Power Series to Analytic Functions: Theory and Application of Multisummable Power Series.

Heat Kernel and Resurgence Balser.From Divergent Power Series to Analytic Functions: Theory and Application of Multisummable Power Series

Reference 3

Resolution: unresolved; no resolver link, observed 2026-06-26T11:34:56.443385Z

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Observation 9e304f45-f79d-4a36-9abc-129f17072eaf · outbound

This paper cites Biswas and S.

Heat Kernel and Resurgence Biswas and S

Reference 4

Resolution: unresolved; no resolver link, observed 2026-06-26T11:34:56.443385Z

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Unavailable: canonical work link unavailable.

Observation 1d40a3ac-b242-454d-aacc-546926ac427f · outbound

This paper cites Bleistein and R.

Heat Kernel and Resurgence Bleistein and R

Reference 5

Resolution: unresolved; no resolver link, observed 2026-06-26T11:34:56.443385Z

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Unavailable: canonical work link unavailable.

Observation 2a7d2e4b-4228-4e3c-be75-bbf061a5641f · outbound

This paper cites Costin.Asymptotics and Borel Summability.

Heat Kernel and Resurgence Costin.Asymptotics and Borel Summability

Reference 6

Resolution: unresolved; no resolver link, observed 2026-06-26T11:34:56.443385Z

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Observation 9de37352-e1f3-4490-8e08-2b86dc40c0de · outbound

This paper cites Costin, H.

Heat Kernel and Resurgence Costin, H

Reference 7

Resolution: unresolved; no resolver link, observed 2026-06-26T11:34:56.443385Z

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Observation 3d2813ac-dc9f-412e-815a-d126a94a39b8 · outbound

This paper cites an unresolved cited work.

Heat Kernel and Resurgence Unresolved cited work

Reference 8

Resolution: unresolved; no resolver link, observed 2026-06-26T11:34:56.443385Z

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Observation 74068532-368a-416c-80c3-bb0b494572b9 · outbound

This paper cites ´Ecalle,Les fonctions r´ esurgentes.

Heat Kernel and Resurgence ´Ecalle,Les fonctions r´ esurgentes

Reference 9

Resolution: unresolved; no resolver link, observed 2026-06-26T11:34:56.443385Z

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Observation 37fda563-4fc9-4fbf-b105-5e3c6ba02664 · outbound

This paper cites ´Ecalle,Les fonctions r´ esurgentes.

Heat Kernel and Resurgence ´Ecalle,Les fonctions r´ esurgentes

Reference 10

Resolution: unresolved; no resolver link, observed 2026-06-26T11:34:56.443385Z

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Observation 2e9549f3-5754-4eed-bb5a-4bf792710936 · outbound

This paper cites ´Ecalle,Les fonctions r´ esurgentes.

Heat Kernel and Resurgence ´Ecalle,Les fonctions r´ esurgentes

Reference 11

Resolution: unresolved; no resolver link, observed 2026-06-26T11:34:56.443385Z

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Observation 9176fec6-0d2d-4072-974e-eae136b742b3 · outbound

This paper cites Eells, Jr.

Heat Kernel and Resurgence Eells, Jr

Reference 12

Resolution: unresolved; no resolver link, observed 2026-06-26T11:34:56.443385Z

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Observation ef1fcdbd-4c6f-4bd1-bf43-a89b9f9f843b · outbound

This paper cites Grauert.On Levi’s problem and the imbedding of real-analytic manifolds.

Heat Kernel and Resurgence Grauert.On Levi’s problem and the imbedding of real-analytic manifolds

Reference 13

Resolution: unresolved; no resolver link, observed 2026-06-26T11:34:56.443385Z

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Unavailable: canonical work link unavailable.

Observation 60357354-621a-4ebe-b273-dd8f88075a30 · outbound

This paper cites Guillemin and M.

Heat Kernel and Resurgence Guillemin and M

Reference 14

Resolution: unresolved; no resolver link, observed 2026-06-26T11:34:56.443385Z

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Observation 0bccc179-43ff-4ff2-9f02-f4e2ec6cab90 · outbound

This paper cites an unresolved cited work.

Heat Kernel and Resurgence Unresolved cited work

Reference 15

Resolution: unresolved; no resolver link, observed 2026-06-26T11:34:56.443385Z

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Observation 68d63f03-bf3f-4886-8546-8a03ad266e60 · outbound

This paper cites Borel summation of the small time expansion of the heat kernel. The scalar potential case.

Heat Kernel and Resurgence Borel summation of the small time expansion of the heat kernel. The scalar potential case

Reference 16

Resolution: verified exact; local_arxiv, observed 2026-07-04T08:29:42.076095Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation ef3409fb-f3ca-4b6d-9cc8-7977676d79cf · outbound

This paper cites Borel summation of the small time expansion of the heat kernel with a vector potential.

Heat Kernel and Resurgence Borel summation of the small time expansion of the heat kernel with a vector potential

Reference 17

Resolution: verified exact; local_arxiv, observed 2026-07-04T08:29:42.078454Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation ec3651d8-0b5e-4c5f-b545-4dae1f6cbfb8 · outbound

This paper cites Henry.Geometric Theory of Semilinear Parabolic Equations.

Heat Kernel and Resurgence Henry.Geometric Theory of Semilinear Parabolic Equations

Reference 18

Resolution: unresolved; no resolver link, observed 2026-06-26T11:34:56.443385Z

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Observation ffbbaf95-3496-44df-9a4d-603d649025cf · outbound

This paper cites Hilgert and K.-H.

Heat Kernel and Resurgence Hilgert and K.-H

Reference 19

Resolution: unresolved; no resolver link, observed 2026-06-26T11:34:56.443385Z

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Observation f2cf06e4-9ffb-46f1-b51b-0a2f446280c1 · outbound

This paper cites Hochschild.The Structure of Lie Groups.

Heat Kernel and Resurgence Hochschild.The Structure of Lie Groups

Reference 20

Resolution: unresolved; no resolver link, observed 2026-06-26T11:34:56.443385Z

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Observation 4b2f4c74-6393-4021-bfda-87d079169b22 · outbound

This paper cites Hochschild.Complexification of real analytic groups.

Heat Kernel and Resurgence Hochschild.Complexification of real analytic groups

Reference 21

Resolution: unresolved; no resolver link, observed 2026-06-26T11:34:56.443385Z

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Observation 45b936b0-2828-4516-bcec-fa4ecc5a1655 · outbound

This paper cites Huckleberry and D.

Heat Kernel and Resurgence Huckleberry and D

Reference 22

Resolution: unresolved; no resolver link, observed 2026-06-26T11:34:56.443385Z

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Observation 61b7f6d7-3fcc-4aa2-8a5f-9bda637c62a5 · outbound

This paper cites Kontsevich.Private discussion, YMSC & BIMSA, 2023.

Heat Kernel and Resurgence Kontsevich.Private discussion, YMSC & BIMSA, 2023

Reference 23

Resolution: unresolved; no resolver link, observed 2026-06-26T11:34:56.443385Z

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Observation 6222ead1-0b6d-4d6a-97fd-9123a3c442b8 · outbound

This paper cites Kontsevich.Talk Slides: Exponential integrals, Lefschetz thimbles and linear resurgence, 30 June, 2020.

Heat Kernel and Resurgence Kontsevich.Talk Slides: Exponential integrals, Lefschetz thimbles and linear resurgence, 30 June, 2020

Reference 24

Resolution: unresolved; no resolver link, observed 2026-06-26T11:34:56.443385Z

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Observation 84cd222e-ca64-4c9f-8ab6-6303386b92fc · outbound

This paper cites Kontsevich, and Y.

Heat Kernel and Resurgence Kontsevich, and Y

Reference 25

Resolution: unresolved; no resolver link, observed 2026-06-26T11:34:56.443385Z

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Observation 22848854-9096-4a1d-beb7-58e767917827 · outbound

This paper cites Holomorphic Floer theory I: exponential integrals in finite and infinite dimensions.

Heat Kernel and Resurgence Holomorphic Floer theory I: exponential integrals in finite and infinite dimensions

Reference 26

Resolution: verified exact; arxiv_id, observed 2026-07-04T08:29:42.080944Z

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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 64b609fa-e97d-4ae1-adea-efe8865c951a · outbound

This paper cites an unresolved cited work.

Heat Kernel and Resurgence Unresolved cited work

Reference 27

Resolution: unresolved; no resolver link, observed 2026-06-26T11:34:56.443385Z

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Observation 99f3c2e6-2929-4d21-80f8-bdba48fe410e · outbound

This paper cites Lempert.Complex structures on the tangent bundle of Riemannian manifolds.

Heat Kernel and Resurgence Lempert.Complex structures on the tangent bundle of Riemannian manifolds

Reference 28

Resolution: unresolved; no resolver link, observed 2026-06-26T11:34:56.443385Z

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Observation 1f2f75b9-af88-4b71-8804-967a96247e86 · outbound

This paper cites Lempert and R.

Heat Kernel and Resurgence Lempert and R

Reference 29

Resolution: unresolved; no resolver link, observed 2026-06-26T11:34:56.443385Z

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Observation 6f61d26e-6a51-4cd8-a4bb-dafdf0573e88 · outbound

This paper cites Picard-Lefschetz theory and alien calculus: a case study.

Heat Kernel and Resurgence Picard-Lefschetz theory and alien calculus: a case study

Reference 30

Resolution: verified exact; local_arxiv, observed 2026-07-04T08:29:42.073779Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 8fd07e06-d4cb-4ee5-8d58-7c4c3c6927ae · outbound

This paper cites Lin.Exponential dichotomies and homoclinic orbits in functional differential equations.

Heat Kernel and Resurgence Lin.Exponential dichotomies and homoclinic orbits in functional differential equations

Reference 31

Resolution: unresolved; no resolver link, observed 2026-06-26T11:34:56.443385Z

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Observation d7e5e1c6-220d-43da-a4bc-081f40eb55e2 · outbound

This paper cites Lions and B.

Heat Kernel and Resurgence Lions and B

Reference 32

Resolution: unresolved; no resolver link, observed 2026-06-26T11:34:56.443385Z

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Observation 7bdf8803-472f-4cc1-83fa-837767ae7ff3 · outbound

This paper cites an unresolved cited work.

Heat Kernel and Resurgence Unresolved cited work

Reference 33

Resolution: unresolved; no resolver link, observed 2026-06-26T11:34:56.443385Z

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Observation 9b209a8d-52b0-4b03-be79-7363b58a568f · outbound

This paper cites Mitschi and D.

Heat Kernel and Resurgence Mitschi and D

Reference 34

Resolution: unresolved; no resolver link, observed 2026-06-26T11:34:56.443385Z

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Observation ad7d29d6-ca13-47bd-bd68-4c1381520440 · outbound

This paper cites Morimoto and T.

Heat Kernel and Resurgence Morimoto and T

Reference 35

Resolution: unresolved; no resolver link, observed 2026-06-26T11:34:56.443385Z

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Observation 7c1d757b-ede9-43f6-aa38-9151bc439284 · outbound

This paper cites Neeb.Holomorphy and Convexity in Lie Theory.

Heat Kernel and Resurgence Neeb.Holomorphy and Convexity in Lie Theory

Reference 36

Resolution: unresolved; no resolver link, observed 2026-06-26T11:34:56.443385Z

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Observation 8f60af30-3f23-46a1-96be-a2a43f935cb4 · outbound

This paper cites Patrizio and P-M.

Heat Kernel and Resurgence Patrizio and P-M

Reference 37

Resolution: unresolved; no resolver link, observed 2026-06-26T11:34:56.443385Z

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Observation 1f6a3c78-c79b-4ef3-a1be-53cc06474830 · outbound

This paper cites Peterhof, B.

Heat Kernel and Resurgence Peterhof, B

Reference 38

Resolution: unresolved; no resolver link, observed 2026-06-26T11:34:56.443385Z

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Observation 52947ee4-96a2-4c06-899c-e66a1f1d4e38 · outbound

This paper cites Pham,Vanishing homologies and the n variable saddlepoint method.

Heat Kernel and Resurgence Pham,Vanishing homologies and the n variable saddlepoint method

Reference 39

Resolution: unresolved; no resolver link, observed 2026-06-26T11:34:56.443385Z

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Unavailable: canonical work link unavailable.

Observation 2369fac7-9200-43fd-b528-fdb5e8720abc · outbound

This paper cites Sauzin.Resurgent functions and splitting problems.

Heat Kernel and Resurgence Sauzin.Resurgent functions and splitting problems

Reference 40

Resolution: unresolved; no resolver link, observed 2026-06-26T11:34:56.443385Z

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Observation 28ec0879-281f-4306-93f4-4a62e77926dc · outbound

This paper cites Schnaubelt.Sufficient conditions for exponential stability and dichotomy of evolution equations.

Heat Kernel and Resurgence Schnaubelt.Sufficient conditions for exponential stability and dichotomy of evolution equations

Reference 41

Resolution: unresolved; no resolver link, observed 2026-06-26T11:34:56.443385Z

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Unavailable: canonical work link unavailable.

Observation 521f59f1-d9ea-4956-8577-d3a3cbe3ea6b · outbound

This paper cites Sz ¨oke.Complex structures on tangent bundles of Riemannian manifolds.

Heat Kernel and Resurgence Sz ¨oke.Complex structures on tangent bundles of Riemannian manifolds

Reference 42

Resolution: unresolved; no resolver link, observed 2026-06-26T11:34:56.443385Z

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Observation 1546b6ec-50ef-4772-984c-097578b73ed0 · outbound

This paper cites Whitney and F.

Heat Kernel and Resurgence Whitney and F

Reference 43

Resolution: unresolved; no resolver link, observed 2026-06-26T11:34:56.443385Z

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Observation 6a4608f2-44c8-42bc-9aab-e49990600fc6 · outbound

This paper cites Witten.A new look at the path integral of quantum mechanics.

Heat Kernel and Resurgence Witten.A new look at the path integral of quantum mechanics

Reference 44

Resolution: unresolved; no resolver link, observed 2026-06-26T11:34:56.443385Z

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Observation 45d0d9f8-6af4-4643-b69f-4dd6c7371b6e · outbound

This paper cites Wu,Resurgence theory on the heat kernel of Riemann surfaces.

Heat Kernel and Resurgence Wu,Resurgence theory on the heat kernel of Riemann surfaces

Reference 45

Resolution: unresolved; no resolver link, observed 2026-06-26T11:34:56.443385Z

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Pith citing papers

No inbound Pith citation observations are available.