Paper Citation Record · LEDGER

Well-posedness of Ricci Flow in Lorentzian Spacetime and its Entropy Formula

As of 13 August 2026, this Paper Citation Record lists 42 of 42 outbound references and 1 inbound Pith citation observation for arXiv:2509.17733.

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

pith.paper-citation-record.v1
2509.17733 v3

Coverage vector

measured 42 of 42 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-04T15:57:08.812264Z

measured 43 of 43 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-02T23:17:58.367686Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

42 of 42 outbound references displayed

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Outbound references

Observation 41519bcc-b664-43fb-b198-d7816c41050d · outbound

This paper cites Hamilton.

Well-posedness of Ricci Flow in Lorentzian Spacetime and its Entropy Formula Hamilton

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-04T15:57:08.696975Z

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Observation ce0856bd-5565-4e83-b084-0121e9d3bc6d · outbound

This paper cites Four-manifolds with positive curvature operator.Journal of Differential Geometry, 24(2):153– 179, 1986.

Well-posedness of Ricci Flow in Lorentzian Spacetime and its Entropy Formula Four-manifolds with positive curvature operator.Journal of Differential Geometry, 24(2):153– 179, 1986

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-04T15:57:08.700405Z

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Observation d3e185bf-6b54-4594-af75-9e7b395e88c3 · outbound

This paper cites Nonlinear models in 2+εdimensions.Physical Review Letters, 45(13):1057, 1980.

Well-posedness of Ricci Flow in Lorentzian Spacetime and its Entropy Formula Nonlinear models in 2+εdimensions.Physical Review Letters, 45(13):1057, 1980

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-04T15:57:08.704371Z

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Observation e43fe764-1c31-4b74-a3d4-0fb72d614710 · outbound

This paper cites an unresolved cited work.

Well-posedness of Ricci Flow in Lorentzian Spacetime and its Entropy Formula Unresolved cited work

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-04T15:57:08.707876Z

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Observation 16a74741-6ac5-41fb-b382-5717d76581a7 · outbound

This paper cites Deforming metrics in the direction of their ricci tensors.Journal of Differential Geometry, 18(1):157–162, 1983.

Well-posedness of Ricci Flow in Lorentzian Spacetime and its Entropy Formula Deforming metrics in the direction of their ricci tensors.Journal of Differential Geometry, 18(1):157–162, 1983

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-04T15:57:08.711038Z

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Observation 97515b73-1d1b-4f0d-9c68-ca82de4f3e52 · outbound

This paper cites The entropy formula for the Ricci flow and its geometric applications.

Well-posedness of Ricci Flow in Lorentzian Spacetime and its Entropy Formula The entropy formula for the Ricci flow and its geometric applications

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-04T15:57:08.714353Z

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Observation f01b422c-cd28-480c-a39c-4a6a9d8cbed7 · outbound

This paper cites Ricci flow with surgery on three-manifolds.

Well-posedness of Ricci Flow in Lorentzian Spacetime and its Entropy Formula Ricci flow with surgery on three-manifolds

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-04T15:57:08.718028Z

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Observation 83e226c8-8cee-4a80-8ef1-0dba85b8a705 · outbound

This paper cites Finite extinction time for the solutions to the ricci flow on certain three-manifolds.arXiv preprint math.DG/0307245, 2003.

Well-posedness of Ricci Flow in Lorentzian Spacetime and its Entropy Formula Finite extinction time for the solutions to the ricci flow on certain three-manifolds.arXiv preprint math.DG/0307245, 2003

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-04T15:57:08.721172Z

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Observation 267eae9d-f9f7-45dd-a71b-2d505f444a46 · outbound

This paper cites an unresolved cited work.

Well-posedness of Ricci Flow in Lorentzian Spacetime and its Entropy Formula Unresolved cited work

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-04T15:57:08.724201Z

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Observation d39eac89-463a-4864-8cfc-07a4ece60584 · outbound

This paper cites an unresolved cited work.

Well-posedness of Ricci Flow in Lorentzian Spacetime and its Entropy Formula Unresolved cited work

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-04T15:57:08.727090Z

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Observation 32117e7f-70a0-430a-984c-4c7b91c65bd0 · outbound

This paper cites an unresolved cited work.

Well-posedness of Ricci Flow in Lorentzian Spacetime and its Entropy Formula Unresolved cited work

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-04T15:57:08.730221Z

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Observation 963f2127-9e80-499f-a124-2c97d433707b · outbound

This paper cites an unresolved cited work.

Well-posedness of Ricci Flow in Lorentzian Spacetime and its Entropy Formula Unresolved cited work

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-04T15:57:08.732947Z

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Observation 3b821d6d-0b37-43ef-bb1c-84c3465e5722 · outbound

This paper cites an unresolved cited work.

Well-posedness of Ricci Flow in Lorentzian Spacetime and its Entropy Formula Unresolved cited work

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-04T15:57:08.735886Z

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Observation 9a28c3d6-b453-4146-9ccf-d122c27740d9 · outbound

This paper cites an unresolved cited work.

Well-posedness of Ricci Flow in Lorentzian Spacetime and its Entropy Formula Unresolved cited work

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-04T15:57:08.738784Z

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Observation b8bf0367-5e47-4806-a4de-bf50423a6ceb · outbound

This paper cites an unresolved cited work.

Well-posedness of Ricci Flow in Lorentzian Spacetime and its Entropy Formula Unresolved cited work

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-04T15:57:08.741494Z

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Observation 9cbb879d-e150-4d81-a9d7-f5dd29e323b4 · outbound

This paper cites an unresolved cited work.

Well-posedness of Ricci Flow in Lorentzian Spacetime and its Entropy Formula Unresolved cited work

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-04T15:57:08.744477Z

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Observation e518cd49-ac7e-421a-8894-b5ae5ea1799a · outbound

This paper cites an unresolved cited work.

Well-posedness of Ricci Flow in Lorentzian Spacetime and its Entropy Formula Unresolved cited work

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-04T15:57:08.747382Z

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Observation dec60844-9dca-451f-ac2a-c7894df02dd5 · outbound

This paper cites an unresolved cited work.

Well-posedness of Ricci Flow in Lorentzian Spacetime and its Entropy Formula Unresolved cited work

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-04T15:57:08.750093Z

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Observation 71e2a8d8-ceea-43ec-afd3-79d1a146ee59 · outbound

This paper cites an unresolved cited work.

Well-posedness of Ricci Flow in Lorentzian Spacetime and its Entropy Formula Unresolved cited work

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-04T15:57:08.753060Z

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Observation 9e36cdb9-d34f-44a1-b4ae-8580c6cb79ed · outbound

This paper cites Carfora and A.

Well-posedness of Ricci Flow in Lorentzian Spacetime and its Entropy Formula Carfora and A

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-04T15:57:08.755726Z

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Observation 926a1cec-5679-43aa-a8b9-4e9293fa69a9 · outbound

This paper cites Averaging, renormalization group and criticality in cosmology.

Well-posedness of Ricci Flow in Lorentzian Spacetime and its Entropy Formula Averaging, renormalization group and criticality in cosmology

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-04T15:57:08.758581Z

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Observation 23cc7b56-58fc-443a-b0ae-95451a6006de · outbound

This paper cites Regional averaging and scaling in relativistic cosmology.Class.

Well-posedness of Ricci Flow in Lorentzian Spacetime and its Entropy Formula Regional averaging and scaling in relativistic cosmology.Class

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-04T15:57:08.761219Z

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Observation b2de36e1-0a50-4ecf-88a9-1bf3f77ade21 · outbound

This paper cites Ricci flow deformation of cosmological initial data sets.

Well-posedness of Ricci Flow in Lorentzian Spacetime and its Entropy Formula Ricci flow deformation of cosmological initial data sets

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-04T15:57:08.763955Z

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Observation 925c3242-7311-4064-9f95-a4ac5fdc458b · outbound

This paper cites ultraviolet catastrophe.

Well-posedness of Ricci Flow in Lorentzian Spacetime and its Entropy Formula ultraviolet catastrophe

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-04T15:57:08.692089Z

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Observation c7b5a7f9-5004-4a25-893b-a03306e95324 · outbound

This paper cites Ricci flow and black holes.Classical and Quantum Gravity, 23(23):6683–6707, 2006.

Well-posedness of Ricci Flow in Lorentzian Spacetime and its Entropy Formula Ricci flow and black holes.Classical and Quantum Gravity, 23(23):6683–6707, 2006

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-04T15:57:08.766728Z

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Observation 3afd5e7d-be4f-486a-9d49-c604142248e2 · outbound

This paper cites Cartas-Fuentevilla, A.

Well-posedness of Ricci Flow in Lorentzian Spacetime and its Entropy Formula Cartas-Fuentevilla, A

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-04T15:57:08.769568Z

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Observation 4d7c5b29-588a-4f1a-bcfe-a6818d78aebb · outbound

This paper cites Cartas-Fuentevilla, A.

Well-posedness of Ricci Flow in Lorentzian Spacetime and its Entropy Formula Cartas-Fuentevilla, A

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-04T15:57:08.772601Z

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Observation df5e6b0e-c308-4fc1-8750-7ae5d35401ff · outbound

This paper cites an unresolved cited work.

Well-posedness of Ricci Flow in Lorentzian Spacetime and its Entropy Formula Unresolved cited work

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-04T15:57:08.775670Z

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Observation b9095f2b-5380-4569-8a85-bf7534df8eb1 · outbound

This paper cites an unresolved cited work.

Well-posedness of Ricci Flow in Lorentzian Spacetime and its Entropy Formula Unresolved cited work

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-04T15:57:08.778629Z

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Observation a24fcbcc-d7a1-4872-a3c0-f9ef531abc1c · outbound

This paper cites Jack and H.

Well-posedness of Ricci Flow in Lorentzian Spacetime and its Entropy Formula Jack and H

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-04T15:57:08.781269Z

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Observation 43297cd5-0b73-4a5c-93d9-cb0f67d0b723 · outbound

This paper cites Field theory entropy, thehtheorem, and the renormalization group.Phys.

Well-posedness of Ricci Flow in Lorentzian Spacetime and its Entropy Formula Field theory entropy, thehtheorem, and the renormalization group.Phys

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-04T15:57:08.784074Z

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Observation 64c37cf5-3b84-4e40-8350-46bfd8a53280 · outbound

This paper cites an unresolved cited work.

Well-posedness of Ricci Flow in Lorentzian Spacetime and its Entropy Formula Unresolved cited work

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-04T15:57:08.786788Z

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Observation d13fa0cc-6186-441a-93d4-6202b8cb1922 · outbound

This paper cites Space-time energy decreases under world sheet RG flow.JHEP, 01:073, 2003.

Well-posedness of Ricci Flow in Lorentzian Spacetime and its Entropy Formula Space-time energy decreases under world sheet RG flow.JHEP, 01:073, 2003

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-04T15:57:08.789165Z

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Observation f3fb5eba-198e-4333-908b-0636e68341e4 · outbound

This paper cites Casini and M.

Well-posedness of Ricci Flow in Lorentzian Spacetime and its Entropy Formula Casini and M

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-04T15:57:08.791635Z

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Observation 71d0a852-7242-4d0d-9419-473b351d94ad · outbound

This paper cites Oliynyk, V.

Well-posedness of Ricci Flow in Lorentzian Spacetime and its Entropy Formula Oliynyk, V

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-04T15:57:08.794110Z

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Observation 62fbd14c-71c5-4038-8128-b08555a8b58a · outbound

This paper cites Oliynyk, V.

Well-posedness of Ricci Flow in Lorentzian Spacetime and its Entropy Formula Oliynyk, V

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-04T15:57:08.797038Z

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Observation 02d69b97-d7c2-4b1d-8506-23b41e46d617 · outbound

This paper cites Tseytlin.

Well-posedness of Ricci Flow in Lorentzian Spacetime and its Entropy Formula Tseytlin

Reference 37

Resolution: unresolved; no resolver link, observed 2026-08-04T15:57:08.799527Z

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Observation a52184ce-1e00-4f9c-9be6-eb61d8750178 · outbound

This paper cites On renormalization group flows in four dimensions.Journal of High Energy Physics, 2011(12):1–20, 2011.

Well-posedness of Ricci Flow in Lorentzian Spacetime and its Entropy Formula On renormalization group flows in four dimensions.Journal of High Energy Physics, 2011(12):1–20, 2011

Reference 38

Resolution: unresolved; no resolver link, observed 2026-08-04T15:57:08.802107Z

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Observation cd8eeee6-a2b7-404a-ad01-8de34d2896ac · outbound

This paper cites Vacaru, and Olivia Vacaru.

Well-posedness of Ricci Flow in Lorentzian Spacetime and its Entropy Formula Vacaru, and Olivia Vacaru

Reference 39

Resolution: unresolved; no resolver link, observed 2026-08-04T15:57:08.804836Z

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Observation ef5c999f-c4d7-488f-93dd-96e92802fa55 · outbound

This paper cites Vacaru, and Elşen Veli Veliev.

Well-posedness of Ricci Flow in Lorentzian Spacetime and its Entropy Formula Vacaru, and Elşen Veli Veliev

Reference 40

Resolution: unresolved; no resolver link, observed 2026-08-04T15:57:08.807269Z

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Observation f9739294-3d33-449b-8034-29b2273170a5 · outbound

This paper cites Entropyfunctionalsandthermodynamicsofrelativisticgeometric flows, stationary quasi-periodic Ricci solitons, and gravity.Annals Phys., 423:168333, 2020.

Well-posedness of Ricci Flow in Lorentzian Spacetime and its Entropy Formula Entropyfunctionalsandthermodynamicsofrelativisticgeometric flows, stationary quasi-periodic Ricci solitons, and gravity.Annals Phys., 423:168333, 2020

Reference 41

Resolution: unresolved; no resolver link, observed 2026-08-04T15:57:08.809875Z

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Observation e43c0da4-6383-4515-ad1b-d3db809d2fb8 · outbound

This paper cites Vacaru, Elşen Veli Veliev, and Laurenţiu Bubuianu.

Well-posedness of Ricci Flow in Lorentzian Spacetime and its Entropy Formula Vacaru, Elşen Veli Veliev, and Laurenţiu Bubuianu

Reference 42

Resolution: unresolved; no resolver link, observed 2026-08-04T15:57:08.812264Z

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Pith citing papers

Observation 60ec8049-4460-4083-926f-5f0b5061aacc · inbound

MOND from Second-Order Moment Modified Acceleration and Quantum Equivalence Principle cites this paper.

MOND from Second-Order Moment Modified Acceleration and Quantum Equivalence Principle Well-posedness of Ricci Flow in Lorentzian Spacetime and its Entropy Formula

Reference 53

Resolution: unresolved; no resolver link, observed 2026-08-02T23:17:58.367686Z

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