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Paper Citation Record · LEDGER

Mutation of Fano Simplices and Markov type equations

As of 16 August 2026, this Paper Citation Record lists 17 of 17 outbound references and 0 inbound Pith citation observations for arXiv:2606.21091.

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

pith.paper-citation-record.v1
2606.21091 v1

Coverage vector

measured 17 of 17 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-06-26T13:25:51.692274Z

measured 17 of 17 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+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

17 of 17 outbound references displayed

  • verified exact4
  • verified fuzzy0
  • unresolved13
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 4209ecae-9a8e-4f76-8d06-fdef09074237 · outbound

This paper cites Polygonal Quivers.

Mutation of Fano Simplices and Markov type equations Polygonal Quivers

Reference 1

Resolution
verified exact
local_arxiv, observed 2026-07-04T07:29:38.913068Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-06-26T13:25:51.692274Z digest=sha256:5f3a51cf14761c7e600407dd585e33172eac5270abefc615553eea32db05c653

Observation dba437db-e571-403e-81d4-d4ad54c419a3 · outbound

This paper cites Akhtar, T.

Mutation of Fano Simplices and Markov type equations Akhtar, T

Reference 2

Resolution
unresolved
no resolver link, observed 2026-06-26T13:25:51.692274Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-26T13:25:51.692274Z digest=sha256:4eb4725b6e642fc71fdcf02ebd00ade7fd2de8c3614afbc728ca6f785b340e17

Observation 6e26e514-0324-49a2-91ae-d538dd0f2bf3 · outbound

This paper cites B\" a uerle, Sharp Degree Bounds for Fake Weighted Projective Spaces , Electron.

Mutation of Fano Simplices and Markov type equations B\" a uerle, Sharp Degree Bounds for Fake Weighted Projective Spaces , Electron

Reference 3

Resolution
unresolved
no resolver link, observed 2026-06-26T13:25:51.692274Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-26T13:25:51.692274Z digest=sha256:842aafd833cb7a6739118aa091031e27737274670af68460d135f4f02133ed68

Observation 51230769-e814-47e3-9fb0-eb5728e0bf61 · outbound

This paper cites Akhtar, A.

Mutation of Fano Simplices and Markov type equations Akhtar, A

Reference 4

Resolution
unresolved
no resolver link, observed 2026-06-26T13:25:51.692274Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-26T13:25:51.692274Z digest=sha256:68a1cb484162b91a6c6162c1aec24f57c5191f14742bd0fe05bb0bf668da33ec

Observation 6e924729-968e-4148-889b-eb4fc6f571c1 · outbound

This paper cites Singularity content.

Mutation of Fano Simplices and Markov type equations Singularity content

Reference 5

Resolution
verified exact
local_arxiv, observed 2026-07-04T07:29:38.922154Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-06-26T13:25:51.692274Z digest=sha256:7b808d80d4cab117fc22d1535ada1994be9b4658557ff6f98d6f20f7e7a19865

Observation 04c603c1-0258-4536-bc11-b64110d9a53d · outbound

This paper cites Coates, S.

Mutation of Fano Simplices and Markov type equations Coates, S

Reference 6

Resolution
unresolved
no resolver link, observed 2026-06-26T13:25:51.692274Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-26T13:25:51.692274Z digest=sha256:17f8f652991ef79fec108c6b85a4670d8c40a052625aa4432ef6657f97ccce1d

Observation 2a374ddc-5a16-45d4-8c00-ab3f6c48bb4a · outbound

This paper cites Conrads, Weighted projective spaces and reflexive simplices , Manuscripta math.

Mutation of Fano Simplices and Markov type equations Conrads, Weighted projective spaces and reflexive simplices , Manuscripta math

Reference 7

Resolution
unresolved
no resolver link, observed 2026-06-26T13:25:51.692274Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-26T13:25:51.692274Z digest=sha256:c6ce055746d52388d5c3c9ac2e6f0e9414a4821862b1e0abefb89cd496f97916

Observation 7671c868-35bd-42f9-9126-0b85cd2eee7c · outbound

This paper cites an unresolved cited work.

Mutation of Fano Simplices and Markov type equations Unresolved cited work

Reference 8

Resolution
unresolved
no resolver link, observed 2026-06-26T13:25:51.692274Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-26T13:25:51.692274Z digest=sha256:66e9f9dac5da8f38ba3a762001acb2d779365ba585895c30a4c2e3272b269053

Observation 5f70718b-e5a2-4c26-87be-4587e047afdb · outbound

This paper cites Galkin and A.

Mutation of Fano Simplices and Markov type equations Galkin and A

Reference 9

Resolution
unresolved
no resolver link, observed 2026-06-26T13:25:51.692274Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-26T13:25:51.692274Z digest=sha256:0bb850c270ac23dadf4618f4748fe4ff7969188e146f4e9244835a0a824b463e

Observation f0d8ebff-f3bd-49c1-8eec-b1891786f127 · outbound

This paper cites Hacking and Y.

Mutation of Fano Simplices and Markov type equations Hacking and Y

Reference 10

Resolution
unresolved
no resolver link, observed 2026-06-26T13:25:51.692274Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-26T13:25:51.692274Z digest=sha256:ef7975077bce2277799b05f8b56170a32869d20e5e16ef1cd05e9454fcddf7ca

Observation 1f47edc4-9ab2-4359-9def-9ddc773ed15c · outbound

This paper cites an unresolved cited work.

Mutation of Fano Simplices and Markov type equations Unresolved cited work

Reference 11

Resolution
unresolved
no resolver link, observed 2026-06-26T13:25:51.692274Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-26T13:25:51.692274Z digest=sha256:bdd4261e91f400c8ac3be3758138e4e3e26910dfdddf5008c646d7825f234a16

Observation 09ac7b0f-97ec-410b-9c7a-08880e107304 · outbound

This paper cites an unresolved cited work.

Mutation of Fano Simplices and Markov type equations Unresolved cited work

Reference 12

Resolution
unresolved
no resolver link, observed 2026-06-26T13:25:51.692274Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-26T13:25:51.692274Z digest=sha256:3c7a975172f793641a437e585c82622108638799ea2fa30f0cd7b451daef48f8

Observation 16674d99-efac-407e-a0cc-e7f97dbcba03 · outbound

This paper cites Nill, Volume and Lattice Points of Reflexive Simplices , Discrete Comput.

Mutation of Fano Simplices and Markov type equations Nill, Volume and Lattice Points of Reflexive Simplices , Discrete Comput

Reference 13

Resolution
unresolved
no resolver link, observed 2026-06-26T13:25:51.692274Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-26T13:25:51.692274Z digest=sha256:8f9b6798914b9944493290e4ddb5558ec7012f4d5ebecb4599ca036475883608

Observation ba8ff03c-91d4-4795-b193-52ad42ba52eb · outbound

This paper cites Symplectic cohomological rigidity via toric degnerations.

Mutation of Fano Simplices and Markov type equations Symplectic cohomological rigidity via toric degnerations

Reference 14

Resolution
verified exact
arxiv_id, observed 2026-07-04T07:29:38.919508Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-06-26T13:25:51.692274Z digest=sha256:c7cdd6eb4e95b4b53425901a6e9b1d39d27e29651dfa47199bb8b3e8eca031e1

Observation c269b9a2-2662-4d85-84cd-92b18a8017b4 · outbound

This paper cites String topology with gravitational descendants, and periods of Landau-Ginzburg potentials.

Mutation of Fano Simplices and Markov type equations String topology with gravitational descendants, and periods of Landau-Ginzburg potentials

Reference 15

Resolution
verified exact
local_arxiv, observed 2026-07-04T07:29:38.918443Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-06-26T13:25:51.692274Z digest=sha256:7be8f4f293e406d7526b6d2446e7b1f7e960fc46aa11aa3352a1bcc82cbea0d9

Observation 15924dbd-f5b4-4856-9947-16a52faf760f · outbound

This paper cites Vianna, On exotic Lagrangian tori in CP ^2 , Geom.

Mutation of Fano Simplices and Markov type equations Vianna, On exotic Lagrangian tori in CP ^2 , Geom

Reference 16

Resolution
unresolved
no resolver link, observed 2026-06-26T13:25:51.692274Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-26T13:25:51.692274Z digest=sha256:5a3fabc15dc31336ecbdddffa0fcc11b3e725a4e2c849213813548a36dd9cb6a

Observation c58e67f4-acd7-48c1-96ff-43ab8807e1d9 · outbound

This paper cites Vianna, Infinitely many exotic monotone Lagrangian tori in CP ^2 , J.

Mutation of Fano Simplices and Markov type equations Vianna, Infinitely many exotic monotone Lagrangian tori in CP ^2 , J

Reference 17

Resolution
unresolved
no resolver link, observed 2026-06-26T13:25:51.692274Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-26T13:25:51.692274Z digest=sha256:14a052d0baadb94c45a3dc29a714595d3a553f348570f594197756f42de60624

Pith citing papers

No inbound Pith citation observations are available.