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Paper Citation Record · LEDGER

Rigidity for the heat equation with density on Riemannian manifolds through a conformal change

As of 9 August 2026, this Paper Citation Record lists 40 of 40 outbound references and 0 inbound Pith citation observations for arXiv:2507.13230.

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

pith.paper-citation-record.v1
2507.13230 v1

Coverage vector

measured 40 of 40 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-06T16:42:43.023137Z

measured 40 of 40 standing notices

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Reference resolution

40 of 40 outbound references displayed

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External citation measurements

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Outbound references

Observation 0bfdd2eb-4a5a-49b3-9bbd-073f121d9f6e · outbound

This paper cites an unresolved cited work.

Rigidity for the heat equation with density on Riemannian manifolds through a conformal change Unresolved cited work

Reference 1

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Observation e37aebeb-9e00-41b3-8a08-fd530b146699 · outbound

This paper cites Aronson, P.

Rigidity for the heat equation with density on Riemannian manifolds through a conformal change Aronson, P

Reference 2

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Observation d2efe0e5-11cb-40d0-9976-dbca77155244 · outbound

This paper cites Biagi, F.

Rigidity for the heat equation with density on Riemannian manifolds through a conformal change Biagi, F

Reference 3

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Observation bf43555a-1a14-4626-bfb0-3bb8602286d6 · outbound

This paper cites an unresolved cited work.

Rigidity for the heat equation with density on Riemannian manifolds through a conformal change Unresolved cited work

Reference 4

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Observation 55b7317f-9532-4e4d-bfa5-80c1147f124f · outbound

This paper cites an unresolved cited work.

Rigidity for the heat equation with density on Riemannian manifolds through a conformal change Unresolved cited work

Reference 5

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Observation b516bf06-5cb0-4585-bcac-28998a0fd719 · outbound

This paper cites Friedman, On the uniqueness of the Cauchy problem for parabolic equations , American J.

Rigidity for the heat equation with density on Riemannian manifolds through a conformal change Friedman, On the uniqueness of the Cauchy problem for parabolic equations , American J

Reference 6

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Observation 184ac946-bd97-44ff-80fa-f29d8318efe1 · outbound

This paper cites Gaffney, The conservation property of the heat equation on Riemannian manifolds , Comm.

Rigidity for the heat equation with density on Riemannian manifolds through a conformal change Gaffney, The conservation property of the heat equation on Riemannian manifolds , Comm

Reference 7

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Observation 6443fe29-673f-4059-adf0-6e1913e3a464 · outbound

This paper cites Grigoryan.

Rigidity for the heat equation with density on Riemannian manifolds through a conformal change Grigoryan

Reference 8

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Observation f3953168-17db-47a8-aed0-da66459189e5 · outbound

This paper cites Grigoryan.

Rigidity for the heat equation with density on Riemannian manifolds through a conformal change Grigoryan

Reference 9

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Observation ef5cdffc-6757-406b-ad0d-14eccb623bd0 · outbound

This paper cites Grigoryan.

Rigidity for the heat equation with density on Riemannian manifolds through a conformal change Grigoryan

Reference 10

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Observation 15dc8c18-9089-4874-ab5b-62df50b6d449 · outbound

This paper cites Hsu, Heat semigroup on a complete Riemannian manifold , Ann.

Rigidity for the heat equation with density on Riemannian manifolds through a conformal change Hsu, Heat semigroup on a complete Riemannian manifold , Ann

Reference 11

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Observation 06ae78b7-844b-42b6-ae10-ad0d6a401604 · outbound

This paper cites Huang, On uniqueness class for a heat equation on graphs , J.

Rigidity for the heat equation with density on Riemannian manifolds through a conformal change Huang, On uniqueness class for a heat equation on graphs , J

Reference 12

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Observation 5d24f219-9dce-42ab-b87d-03f81bc9d941 · outbound

This paper cites Huang, M.

Rigidity for the heat equation with density on Riemannian manifolds through a conformal change Huang, M

Reference 13

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Observation 8a395435-35c6-4664-9471-57af910136e2 · outbound

This paper cites Ishige, M.

Rigidity for the heat equation with density on Riemannian manifolds through a conformal change Ishige, M

Reference 14

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Observation 5680fabb-a323-452a-8d5e-0765607aca04 · outbound

This paper cites an unresolved cited work.

Rigidity for the heat equation with density on Riemannian manifolds through a conformal change Unresolved cited work

Reference 15

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Observation d8016dfe-b94b-4f44-91ea-c594f778f2fa · outbound

This paper cites Kamin, M.A.

Rigidity for the heat equation with density on Riemannian manifolds through a conformal change Kamin, M.A

Reference 16

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Observation 62a0da9d-2865-4a1a-afe5-73c9ec5f68b2 · outbound

This paper cites an unresolved cited work.

Rigidity for the heat equation with density on Riemannian manifolds through a conformal change Unresolved cited work

Reference 17

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Observation 8d5a5161-322c-4bb7-928d-2a86e5def223 · outbound

This paper cites an unresolved cited work.

Rigidity for the heat equation with density on Riemannian manifolds through a conformal change Unresolved cited work

Reference 18

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Observation d68ff498-f9b0-4a54-a0ab-8a0a48b9c58a · outbound

This paper cites Meglioli, F.

Rigidity for the heat equation with density on Riemannian manifolds through a conformal change Meglioli, F

Reference 19

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Observation f46380c9-0101-48db-b9b4-7a7e93003bcd · outbound

This paper cites Meglioli, A.

Rigidity for the heat equation with density on Riemannian manifolds through a conformal change Meglioli, A

Reference 20

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This paper cites Meglioli, On the uniqueness for the heat equation with density on infinite graphs , J.

Rigidity for the heat equation with density on Riemannian manifolds through a conformal change Meglioli, On the uniqueness for the heat equation with density on infinite graphs , J

Reference 21

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This paper cites Meglioli, F.

Rigidity for the heat equation with density on Riemannian manifolds through a conformal change Meglioli, F

Reference 22

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Observation d67acd04-bee6-42ec-842e-8efc7646050c · outbound

This paper cites Uniqueness of solutions to elliptic and parabolic equations on metric graphs.

Rigidity for the heat equation with density on Riemannian manifolds through a conformal change Uniqueness of solutions to elliptic and parabolic equations on metric graphs

Reference 23

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Observation 218ab66c-49e2-4f17-9245-f0475e8429f4 · outbound

This paper cites an unresolved cited work.

Rigidity for the heat equation with density on Riemannian manifolds through a conformal change Unresolved cited work

Reference 24

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Observation aef8448b-1721-469d-aa30-ea5a865d0b90 · outbound

This paper cites Nobili, F.

Rigidity for the heat equation with density on Riemannian manifolds through a conformal change Nobili, F

Reference 25

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Observation 302b6187-34df-4940-a38b-2fa197e0340d · outbound

This paper cites Petersen.

Rigidity for the heat equation with density on Riemannian manifolds through a conformal change Petersen

Reference 26

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Observation c9ee04a1-73ba-4669-9b48-1367f4ab7f9c · outbound

This paper cites Petersen, W.

Rigidity for the heat equation with density on Riemannian manifolds through a conformal change Petersen, W

Reference 27

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Observation aa3260eb-67f8-4105-9498-6263dbbe2767 · outbound

This paper cites Pigola, M.

Rigidity for the heat equation with density on Riemannian manifolds through a conformal change Pigola, M

Reference 28

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Observation d26dc43a-3fe8-457d-92b5-dcceda067afc · outbound

This paper cites Rigoli, A.

Rigidity for the heat equation with density on Riemannian manifolds through a conformal change Rigoli, A

Reference 29

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Observation 421e391e-e951-47b8-bb3d-d38eebe40778 · outbound

This paper cites Pinchover, On uniqueness and nonuniqueness of the positive Cauchy problem for parabolic equations with unbounded coefficients.

Rigidity for the heat equation with density on Riemannian manifolds through a conformal change Pinchover, On uniqueness and nonuniqueness of the positive Cauchy problem for parabolic equations with unbounded coefficients

Reference 30

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Observation adaf1035-2452-4c53-bcd5-9a5a56674d42 · outbound

This paper cites Pozio, F.

Rigidity for the heat equation with density on Riemannian manifolds through a conformal change Pozio, F

Reference 31

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Observation 05654e2a-6688-4e8f-8826-5bee63061ba5 · outbound

This paper cites Pozio, A.

Rigidity for the heat equation with density on Riemannian manifolds through a conformal change Pozio, A

Reference 32

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Observation 5086d6ee-4273-4619-8f44-6d76a8e1bbc9 · outbound

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Rigidity for the heat equation with density on Riemannian manifolds through a conformal change Unresolved cited work

Reference 33

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Observation 877e8dca-f67f-4c77-a72f-e49a95054942 · outbound

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Rigidity for the heat equation with density on Riemannian manifolds through a conformal change Unresolved cited work

Reference 34

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Observation cd732ddc-925d-4ba0-bcc3-cd251554daf1 · outbound

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Rigidity for the heat equation with density on Riemannian manifolds through a conformal change Unresolved cited work

Reference 35

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Observation c7de85ec-1ade-4370-82df-0c0b7914c378 · outbound

This paper cites Punzo, A.

Rigidity for the heat equation with density on Riemannian manifolds through a conformal change Punzo, A

Reference 36

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Observation 03c5df31-478a-4a0e-a97e-3d0d40a1d068 · outbound

This paper cites an unresolved cited work.

Rigidity for the heat equation with density on Riemannian manifolds through a conformal change Unresolved cited work

Reference 37

Resolution
unresolved
raw_fallback, observed 2026-08-06T16:42:43.101213Z

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.

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Observation 3d333e2f-978a-4c42-b726-05aa23343f0b · outbound

This paper cites an unresolved cited work.

Rigidity for the heat equation with density on Riemannian manifolds through a conformal change Unresolved cited work

Reference 38

Resolution
unresolved
raw_fallback, observed 2026-08-06T16:42:43.090537Z

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.

source=pdf_text observed=2026-08-06T16:42:43.017082Z digest=sha256:ded495f5327bbe8ebe1fece7271ecd284d0c90f058fc1bfc899ec414085bb895

Observation f4f2b00d-d26d-45bc-b69e-8a8319d9d49b · outbound

This paper cites an unresolved cited work.

Rigidity for the heat equation with density on Riemannian manifolds through a conformal change Unresolved cited work

Reference 39

Resolution
unresolved
raw_fallback, observed 2026-08-06T16:42:43.079890Z

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.

source=pdf_text observed=2026-08-06T16:42:43.020000Z digest=sha256:60ed36385966427799e39f14456a2c88b680803434d4906d1bd25df7302718c0

Observation 78cbd5a1-6bb5-4b4c-8e04-cca9e396a6ca · outbound

This paper cites Yau, Some function-theoretic properties of complete Riemannian manifolds and their applications to geometry, Indiana Univ.

Rigidity for the heat equation with density on Riemannian manifolds through a conformal change Yau, Some function-theoretic properties of complete Riemannian manifolds and their applications to geometry, Indiana Univ

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:42:43.067636Z

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.

source=pdf_text observed=2026-08-06T16:42:43.023137Z digest=sha256:9ce1639745e304f550eda945c25ff08c5df5751177ddd65063bf85eb5567ef2e

Pith citing papers

No inbound Pith citation observations are available.