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Paper Citation Record · LEDGER

Many-point tropical relaxation and the Monge--Amp\`ere equation

As of 15 August 2026, this Paper Citation Record lists 26 of 26 outbound references and 1 inbound Pith citation observation for arXiv:2607.25878.

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

pith.paper-citation-record.v1
2607.25878 v1

Coverage vector

measured 26 of 26 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-01T01:27:56.709785Z

measured 27 of 27 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-14T05:51:52.712516Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-14T05:51:52.760213Z

Reference resolution

26 of 26 outbound references displayed

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  • verified fuzzy0
  • unresolved26
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  • malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 732236f1-94b4-4cb6-b3b5-a4dbd1b9abea · outbound

This paper cites an unresolved cited work.

Many-point tropical relaxation and the Monge--Amp\`ere equation Unresolved cited work

Reference 1

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no resolver link, observed 2026-08-01T01:27:56.638900Z

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-01T01:27:56.638900Z digest=sha256:9032a95c40575efacad0f58be87f64c36777e728e167e9e4c06fdf22bc6cd94a

Observation 943e27b3-7eeb-47cf-b566-4f8cde02a8cd · outbound

This paper cites an unresolved cited work.

Many-point tropical relaxation and the Monge--Amp\`ere equation Unresolved cited work

Reference 2

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no resolver link, observed 2026-08-01T01:27:56.642283Z

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source=arxiv_source observed=2026-08-01T01:27:56.642283Z digest=sha256:a50a2f479fbba3ecec1efb6dd13bd89b3ad6f5a8e959e9293583002dcd0ed1fe

Observation 7835fc93-53ec-473d-a8f6-64142b21ab93 · outbound

This paper cites , title =.

Many-point tropical relaxation and the Monge--Amp\`ere equation , title =

Reference 3

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no resolver link, observed 2026-08-01T01:27:56.647692Z

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source=arxiv_source observed=2026-08-01T01:27:56.647692Z digest=sha256:0055d79a906aeff7f9e39ede53670d9d7bb794a4aa7f1ae3b2e35a00785b6ac9

Observation b2e1390b-34ab-4fce-b190-d6ae303de4db · outbound

This paper cites 2017 , doi =.

Many-point tropical relaxation and the Monge--Amp\`ere equation 2017 , doi =

Reference 4

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no resolver link, observed 2026-08-01T01:27:56.650676Z

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source=arxiv_source observed=2026-08-01T01:27:56.650676Z digest=sha256:154e096ba634d63737f98a6e01dd9b75e7e8e828966ef0de3f48952877d2c94b

Observation 13542fd2-c66c-4b59-a1ca-a49871529aa2 · outbound

This paper cites Rendiconti del Seminario Matematico dell'Universit\`a e del Politecnico di Torino , volume =.

Many-point tropical relaxation and the Monge--Amp\`ere equation Rendiconti del Seminario Matematico dell'Universit\`a e del Politecnico di Torino , volume =

Reference 5

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no resolver link, observed 2026-08-01T01:27:56.653571Z

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source=arxiv_source observed=2026-08-01T01:27:56.653571Z digest=sha256:3e2e084614197eb9e2af7647ce545471ba642967828fddec8ffeb2ef4c01c65a

Observation 058a40ce-a97f-4138-a55c-0ab751da92a4 · outbound

This paper cites Sitzungsberichte der Kaiserlichen Akademie der Wissenschaften, Wien, Mathematisch-Naturwissenschaftliche Klasse, Abteilung IIa , volume =.

Many-point tropical relaxation and the Monge--Amp\`ere equation Sitzungsberichte der Kaiserlichen Akademie der Wissenschaften, Wien, Mathematisch-Naturwissenschaftliche Klasse, Abteilung IIa , volume =

Reference 6

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no resolver link, observed 2026-08-01T01:27:56.656309Z

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Unavailable: canonical work link unavailable.

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Observation 9652ad21-e3bc-4319-866a-071dcbae65ab · outbound

This paper cites Combinatorial and Computational Geometry , editor =.

Many-point tropical relaxation and the Monge--Amp\`ere equation Combinatorial and Computational Geometry , editor =

Reference 7

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no resolver link, observed 2026-08-01T01:27:56.659133Z

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source=arxiv_source observed=2026-08-01T01:27:56.659133Z digest=sha256:3fc37077890b9ca864084af745d631978b6e144fd158b78ec3519b18c3feaaa2

Observation d32d3037-48c9-4983-afd6-67fec6235331 · outbound

This paper cites Journal of the American Mathematical Society , volume =.

Many-point tropical relaxation and the Monge--Amp\`ere equation Journal of the American Mathematical Society , volume =

Reference 8

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no resolver link, observed 2026-08-01T01:27:56.662042Z

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-01T01:27:56.662042Z digest=sha256:1a3528e2afd454b98a6f96e0956455cef1c9fd9300cb27715ab7751ddd66f9e5

Observation 670f8cc6-601d-4d94-a892-706130cbb779 · outbound

This paper cites Idempotent Mathematics and Mathematical Physics , editor =.

Many-point tropical relaxation and the Monge--Amp\`ere equation Idempotent Mathematics and Mathematical Physics , editor =

Reference 9

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no resolver link, observed 2026-08-01T01:27:56.664489Z

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-01T01:27:56.664489Z digest=sha256:6cab95a9ce847fb8b39830b17c9472fec5331146ebf94e7fd1aaf49709add080

Observation 1ec7fbce-187c-497b-8261-33edd31ec506 · outbound

This paper cites 2015 , doi =.

Many-point tropical relaxation and the Monge--Amp\`ere equation 2015 , doi =

Reference 10

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no resolver link, observed 2026-08-01T01:27:56.667062Z

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source=arxiv_source observed=2026-08-01T01:27:56.667062Z digest=sha256:50f9ba55005a00ffcc1c77989ba17a5530cd670845d080810cef458215e4ae24

Observation 7adff690-7bd8-4ee0-a555-d873a79316a5 · outbound

This paper cites Duke Mathematical Journal , volume =.

Many-point tropical relaxation and the Monge--Amp\`ere equation Duke Mathematical Journal , volume =

Reference 11

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no resolver link, observed 2026-08-01T01:27:56.669714Z

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source=arxiv_source observed=2026-08-01T01:27:56.669714Z digest=sha256:3ca951307dcfaba1093a9cf2dc6d4a319a605705644e4f026299a06881c118a2

Observation 4c0734d6-84b9-43a7-af8c-d143b704250e · outbound

This paper cites Sitzungsber.

Many-point tropical relaxation and the Monge--Amp\`ere equation Sitzungsber

Reference 12

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no resolver link, observed 2026-08-01T01:27:56.672396Z

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source=arxiv_source observed=2026-08-01T01:27:56.672396Z digest=sha256:91111b0f415c019894c502f2c760ad1f00f05e6e79c6272785537665fbd15333

Observation 0bbc334c-0f34-4eeb-b616-f10e10cd0b4a · outbound

This paper cites and Rishel, Raymond , title =.

Many-point tropical relaxation and the Monge--Amp\`ere equation and Rishel, Raymond , title =

Reference 13

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no resolver link, observed 2026-08-01T01:27:56.675031Z

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source=arxiv_source observed=2026-08-01T01:27:56.675031Z digest=sha256:6659a8c14c29e6fe239ac92b1dced86999787aab386bf216150560f8d5a623c0

Observation 875007bb-85e9-472b-89a1-5ebe96203497 · outbound

This paper cites 1969 , doi =.

Many-point tropical relaxation and the Monge--Amp\`ere equation 1969 , doi =

Reference 14

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no resolver link, observed 2026-08-01T01:27:56.677525Z

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source=arxiv_source observed=2026-08-01T01:27:56.677525Z digest=sha256:a6b55e22380ffb6b7859ed69815d280a0a3a483a8137b4eed86946d5f5555d09

Observation a8d88eb3-0040-49ca-b04d-0f2977081398 · outbound

This paper cites Tyrrell , title =.

Many-point tropical relaxation and the Monge--Amp\`ere equation Tyrrell , title =

Reference 15

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no resolver link, observed 2026-08-01T01:27:56.680313Z

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source=arxiv_source observed=2026-08-01T01:27:56.680313Z digest=sha256:5605fa1d3c2fee7b6e1fe61ac450efac20a20a4824314c7038e5a94b31ab4a16

Observation c91fc53d-2757-4e00-aa7a-dfc3d327d10e · outbound

This paper cites 2014 , doi =.

Many-point tropical relaxation and the Monge--Amp\`ere equation 2014 , doi =

Reference 16

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source=arxiv_source observed=2026-08-01T01:27:56.683043Z digest=sha256:d905e97d99369ecda9db4053f731855403344fe2023f3a33358e24d950975113

Observation 58d43ee5-7d9f-4ccb-9751-2941fcd5ae4b · outbound

This paper cites an unresolved cited work.

Many-point tropical relaxation and the Monge--Amp\`ere equation Unresolved cited work

Reference 17

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no resolver link, observed 2026-08-01T01:27:56.685432Z

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source=arxiv_source observed=2026-08-01T01:27:56.685432Z digest=sha256:1c675c18a2c39691fd75fb2fd330b0f6ac8ce819bea3f51532e7e6b1713d8ff8

Observation e24a562c-1ddf-4a85-9ea7-ff595ba4bdf2 · outbound

This paper cites Proceedings of the 28th G\"okova Geometry-Topology Conference , pages =.

Many-point tropical relaxation and the Monge--Amp\`ere equation Proceedings of the 28th G\"okova Geometry-Topology Conference , pages =

Reference 18

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no resolver link, observed 2026-08-01T01:27:56.688217Z

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source=arxiv_source observed=2026-08-01T01:27:56.688217Z digest=sha256:0c1fc8116f3091064eb2712c2dfe4702b56c00facb71c1cfc95bad183bc4f8dd

Observation 1be675d3-68c1-4c13-a6bd-5ee310a2c607 · outbound

This paper cites Physical Review Letters , volume =.

Many-point tropical relaxation and the Monge--Amp\`ere equation Physical Review Letters , volume =

Reference 19

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no resolver link, observed 2026-08-01T01:27:56.690802Z

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source=arxiv_source observed=2026-08-01T01:27:56.690802Z digest=sha256:02ab365e48595f4a51cc889a4a703f27e7ba322cfbc4c5bbb7a9536df1db9282

Observation 2e4a1740-d70e-4eef-bbfc-a910d4178899 · outbound

This paper cites Physical Review Letters , volume =.

Many-point tropical relaxation and the Monge--Amp\`ere equation Physical Review Letters , volume =

Reference 20

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no resolver link, observed 2026-08-01T01:27:56.693372Z

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source=arxiv_source observed=2026-08-01T01:27:56.693372Z digest=sha256:df9050e318718425edf9ffeb2deccaa76c6a5f4a8050a188cae1af97aa4bcb17

Observation b2f0e01c-fd90-4bd4-94e7-6dc61f105168 · outbound

This paper cites Journal of Statistical Physics , volume =.

Many-point tropical relaxation and the Monge--Amp\`ere equation Journal of Statistical Physics , volume =

Reference 21

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no resolver link, observed 2026-08-01T01:27:56.695949Z

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source=arxiv_source observed=2026-08-01T01:27:56.695949Z digest=sha256:fa182f8bb0cd911eb7dbee27de26dbe1130d0994c56cdb64b7c2967e1dc6f6b1

Observation ac1e6163-2f75-4df1-b429-23e4c4add1d9 · outbound

This paper cites Conservation laws for strings in the Abelian Sandpile Model.

Many-point tropical relaxation and the Monge--Amp\`ere equation Conservation laws for strings in the Abelian Sandpile Model

Reference 22

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no resolver link, observed 2026-08-01T01:27:56.698504Z

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source=arxiv_source observed=2026-08-01T01:27:56.698504Z digest=sha256:a31ef967106fb779cdf56b22616611ddd5a57d429d021672742b76eee3933a9a

Observation 11d03690-7298-41f5-b6d7-7d204a5e4b05 · outbound

This paper cites Discrete and Continuous Dynamical Systems , volume =.

Many-point tropical relaxation and the Monge--Amp\`ere equation Discrete and Continuous Dynamical Systems , volume =

Reference 23

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no resolver link, observed 2026-08-01T01:27:56.701374Z

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-01T01:27:56.701374Z digest=sha256:368dbc1a3aa4777809628b5a416f964221ba531f94e6b232e08983a5d5bbb04d

Observation 570a3bcb-91f3-4643-8920-9f625c68253f · outbound

This paper cites Some statistics about Tropical Sandpile Model.

Many-point tropical relaxation and the Monge--Amp\`ere equation Some statistics about Tropical Sandpile Model

Reference 24

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source=arxiv_source observed=2026-08-01T01:27:56.704228Z digest=sha256:25b97a6cb7948a7ccef62691925486442b430e81e9862cd43178dcddd7b610ab

Observation 31900098-5cda-4236-a3bd-bc954387fc42 · outbound

This paper cites Tropical curves in sandpile models.

Many-point tropical relaxation and the Monge--Amp\`ere equation Tropical curves in sandpile models

Reference 25

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no resolver link, observed 2026-08-01T01:27:56.707089Z

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source=arxiv_source observed=2026-08-01T01:27:56.707089Z digest=sha256:f05055fbbc669ecedc91c9d0f94f3059e4d37da64b7c54e1fd800871a98e5354

Observation 7928d3da-1dda-4737-92ae-fe4ff6f3da00 · outbound

This paper cites Proceedings of the National Academy of Sciences of the United States of America , volume =.

Many-point tropical relaxation and the Monge--Amp\`ere equation Proceedings of the National Academy of Sciences of the United States of America , volume =

Reference 26

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no resolver link, observed 2026-08-01T01:27:56.709785Z

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source=arxiv_source observed=2026-08-01T01:27:56.709785Z digest=sha256:881fc5756e470381e4e8f31bc5753c60f5c8d1f8b0fb48fd11ec1dcccda42227

Pith citing papers

Observation 0f296c14-f8c6-486e-99b2-97ccea5f9c52 · inbound

Symmetry Emergence in Self-Organized Criticality cites this paper.

Symmetry Emergence in Self-Organized Criticality Many-point tropical relaxation and the Monge--Amp\`ere equation

Reference 20

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verified exact
local_arxiv, observed 2026-08-14T05:51:52.763574Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T05:51:52.712516Z digest=sha256:0bb85dabade849d2e78fa75c0c67697db7c6cebf1573589f72de7b704f8f471e