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Paper Citation Record · LEDGER

Maximum Likelihood, permutohedra and Associativity Equations

As of 14 August 2026, this Paper Citation Record lists 41 of 41 outbound references and 0 inbound Pith citation observations for arXiv:2501.01345.

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

pith.paper-citation-record.v1
2501.01345 v1

Coverage vector

measured 41 of 41 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T22:38:10.436508Z

measured 41 of 41 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+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

41 of 41 outbound references displayed

  • verified exact5
  • verified fuzzy26
  • unresolved10
  • parse uncertain0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation a0226a1c-06e3-41e2-92bb-0e8cc0a18a5b · outbound

This paper cites Andersson, G.

Maximum Likelihood, permutohedra and Associativity Equations Andersson, G

Reference 1

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-10T22:38:10.242061Z digest=sha256:445fa915dcc88e4db62022d84b5ee42bf25bef5073ba2789d2ad7d2a98de7f8d

Observation 1aea0cd9-1ee6-4259-bed4-243912102091 · outbound

This paper cites Bia ynicki-Birula Some theorems on actions of algebraic groups.

Maximum Likelihood, permutohedra and Associativity Equations Bia ynicki-Birula Some theorems on actions of algebraic groups

Reference 2

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-10T22:38:10.247467Z digest=sha256:7308231ed524d4a99e1b4cfa1045d15d6705557c0f508498ff131e1ed7e9f034

Observation f93baaef-cc54-4b1b-94c1-a904277ce497 · outbound

This paper cites Casalis, Les families exponentielles \`a variance quadratique homog\`ene sont de lois de Wishart sur un cone symétrique.

Maximum Likelihood, permutohedra and Associativity Equations Casalis, Les families exponentielles \`a variance quadratique homog\`ene sont de lois de Wishart sur un cone symétrique

Reference 3

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation f9842f3a-3c6c-40c6-b16a-d070b8cf9596 · outbound

This paper cites Casalis, G.

Maximum Likelihood, permutohedra and Associativity Equations Casalis, G

Reference 4

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-10T22:38:10.257279Z digest=sha256:3a47a4a47cb8bd94207d3eecc572061932ea50b568b6910b3d7b7df40ed2c0b8

Observation e3c88257-8d7f-4f7c-bc87-66ad76c1f1cb · outbound

This paper cites Chentsov, Geometry of the manifold of probability distributions , Dokl.

Maximum Likelihood, permutohedra and Associativity Equations Chentsov, Geometry of the manifold of probability distributions , Dokl

Reference 5

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raw_fallback, observed 2026-08-10T22:38:11.037931Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-10T22:38:10.262223Z digest=sha256:1479c93e8454e5220c3beb42239e280493d07286a678f19090d3d6b45ee94fc3

Observation 61282f7c-420e-466e-b5e9-3262c2700c9b · outbound

This paper cites Chentsov, Categories of mathematical statistics, Dokl.

Maximum Likelihood, permutohedra and Associativity Equations Chentsov, Categories of mathematical statistics, Dokl

Reference 6

Resolution
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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-10T22:38:10.267623Z digest=sha256:99eb1d9e110a221b60be13de75d0549f36934fea6a06add8b5c06cb3f4509902

Observation 4425b7ad-bc79-4521-a322-399707151a4a · outbound

This paper cites On Frobenius structures in symmetric cones.

Maximum Likelihood, permutohedra and Associativity Equations On Frobenius structures in symmetric cones

Reference 7

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local_arxiv, observed 2026-08-10T22:38:10.563073Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-10T22:38:10.272726Z digest=sha256:cce5285b2b060d59c6b9f0275d1f07f1d3614e58c8d81537ce81f3b354e7f34f

Observation ca4043b2-1257-42b2-8190-06d9cb1fa4b5 · outbound

This paper cites Landau-Ginzburg models, Monge-Amp\`ere domains and (pre-)Frobenius manifolds.

Maximum Likelihood, permutohedra and Associativity Equations Landau-Ginzburg models, Monge-Amp\`ere domains and (pre-)Frobenius manifolds

Reference 8

Resolution
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local_arxiv, observed 2026-08-10T22:38:10.543268Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-10T22:38:10.278271Z digest=sha256:74dd99c5c31b45a3097832149fefbb0545c7602bcf7be9dec44f11d203bf729b

Observation a600f0a8-c10a-4725-8575-38a99e944314 · outbound

This paper cites On the geometry of K\"ahler--Frobenius manifolds and their classification.

Maximum Likelihood, permutohedra and Associativity Equations On the geometry of K\"ahler--Frobenius manifolds and their classification

Reference 9

Resolution
verified exact
local_arxiv, observed 2026-08-10T22:38:10.523039Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-10T22:38:10.283118Z digest=sha256:ace848069c4830604eebb57a88dacb4fd3d9fa01b75acf589b44bad801c371ea

Observation 9b8f4765-d7cc-4124-b0a2-5cb7ea489c86 · outbound

This paper cites Learning on hexagonal structures and Monge-Amp\`ere operators.

Maximum Likelihood, permutohedra and Associativity Equations Learning on hexagonal structures and Monge-Amp\`ere operators

Reference 10

Resolution
verified exact
local_arxiv, observed 2026-08-10T22:38:10.501968Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation e26a6403-1d0b-4f00-b92a-a59a37813172 · outbound

This paper cites Wishart cones and quantum geometry.

Maximum Likelihood, permutohedra and Associativity Equations Wishart cones and quantum geometry

Reference 11

Resolution
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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-10T22:38:10.293087Z digest=sha256:72b7e24de20e10f06a436ca4fbf8beea8355f1707baf5891b696e6da346d97e2

Observation f655dd0f-9fa8-4b00-a5c0-bbef1182cc69 · outbound

This paper cites an unresolved cited work.

Maximum Likelihood, permutohedra and Associativity Equations Unresolved cited work

Reference 12

Resolution
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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation e8b76b2d-796f-4540-9a38-31baf3fd8af9 · outbound

This paper cites an unresolved cited work.

Maximum Likelihood, permutohedra and Associativity Equations Unresolved cited work

Reference 13

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Observation 22eeabbb-8c6e-4bf3-9e7f-19e3681eba47 · outbound

This paper cites an unresolved cited work.

Maximum Likelihood, permutohedra and Associativity Equations Unresolved cited work

Reference 14

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 1deef678-49d7-4ba5-b0db-4c6a8d5260ac · outbound

This paper cites Combe, Y.

Maximum Likelihood, permutohedra and Associativity Equations Combe, Y

Reference 15

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verified fuzzy
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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-10T22:38:10.312544Z digest=sha256:86bcd0c4bdbb35ae02f63000435fadaa43d6e17ee9c80a9884bde63f6d1b70f0

Observation c73ae000-9ca7-4966-a8a0-07f9209b7d67 · outbound

This paper cites Combe, Y.

Maximum Likelihood, permutohedra and Associativity Equations Combe, Y

Reference 16

Resolution
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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-10T22:38:10.316881Z digest=sha256:a8e9f0d3041b194b6852d394472c4b207b282df353ec12228046b59a523a61fa

Observation 1acb655a-4d7d-4524-8b6d-9b8aa63c5bc6 · outbound

This paper cites DeConcini, M.

Maximum Likelihood, permutohedra and Associativity Equations DeConcini, M

Reference 17

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Observation 0d8c56b0-de9d-44d8-b065-68ce5e46b9ce · outbound

This paper cites an unresolved cited work.

Maximum Likelihood, permutohedra and Associativity Equations Unresolved cited work

Reference 18

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-10T22:38:10.325959Z digest=sha256:9e2057c14d965babe13c4f9eb8b77dba104d33d0f8cf799a6983f54e9007ee67

Observation f1bb461e-5a10-44c1-bf2e-7ecc21c61eba · outbound

This paper cites Faraut, A.

Maximum Likelihood, permutohedra and Associativity Equations Faraut, A

Reference 19

Resolution
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raw_fallback, observed 2026-08-10T22:38:10.906783Z

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source=arxiv_source observed=2026-08-10T22:38:10.331498Z digest=sha256:41daebb8893d81aa45970cdd39c3c10138f7a5390e6190ecd86ffdf1e57176a5

Observation 926968a6-d75b-4529-b6e1-487e72b1de31 · outbound

This paper cites Gårding, An inequality for hyperbolic polynomials , J.

Maximum Likelihood, permutohedra and Associativity Equations Gårding, An inequality for hyperbolic polynomials , J

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:38:10.891551Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-10T22:38:10.336337Z digest=sha256:f0c8ccd2fbc7f893038f0fd0994915c071bd9b830d02570ed01462998cd0d684

Observation 4cc41b36-e634-4cd2-916f-4de5eacdd253 · outbound

This paper cites Helgason, Differential geometry, Lie groups and Symmetric spaces , New York: Academic Press; (1978).

Maximum Likelihood, permutohedra and Associativity Equations Helgason, Differential geometry, Lie groups and Symmetric spaces , New York: Academic Press; (1978)

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:38:10.876791Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-10T22:38:10.340779Z digest=sha256:fcbe0622a3bde4cffd18925ee23a6a36233b165296bdb4aaedc684043daea0a5

Observation 6c16d410-06b9-4684-93c7-78506999f379 · outbound

This paper cites an unresolved cited work.

Maximum Likelihood, permutohedra and Associativity Equations Unresolved cited work

Reference 22

Resolution
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raw_fallback, observed 2026-08-10T22:38:10.860909Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-10T22:38:10.345338Z digest=sha256:020795e49d541d587dc3699c20cb5a9a93813b810664f600c70699afe3ad70d2

Observation 4671fe26-22b4-43e7-9aca-88a541e0c4a5 · outbound

This paper cites Koszul, Domaines born\'es homog\`enes et orbites des groupes de transformations affines, Bull.

Maximum Likelihood, permutohedra and Associativity Equations Koszul, Domaines born\'es homog\`enes et orbites des groupes de transformations affines, Bull

Reference 23

Resolution
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raw_fallback, observed 2026-08-10T22:38:10.846282Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-10T22:38:10.350010Z digest=sha256:38c9dca67704ea3af1dbdf2bc9e40940e9b121871419f90351befeb59a4a0392

Observation a0f44436-6c6a-451b-a630-26b14d5dfb86 · outbound

This paper cites Losev, Yu.

Maximum Likelihood, permutohedra and Associativity Equations Losev, Yu

Reference 24

Resolution
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raw_fallback, observed 2026-08-10T22:38:10.831351Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-10T22:38:10.354685Z digest=sha256:a161a8cbb7f0e0aba4800a5292b3db5396234f7cc0dc7b78d625aa19f1abc298

Observation a0d2f204-6ceb-4650-a4a0-54ff2c904b44 · outbound

This paper cites ojasiewicz, Triangulation of semi-analytic sets, Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 18.4 (1964): 449-474.

Maximum Likelihood, permutohedra and Associativity Equations ojasiewicz, Triangulation of semi-analytic sets, Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 18.4 (1964): 449-474

Reference 25

Resolution
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source=arxiv_source observed=2026-08-10T22:38:10.360221Z digest=sha256:c72bc986f7b7b762a343d8af83a4ded6387f6f65fb1cb7f5b855fca31a183575

Observation dfbb653e-63db-47f1-b5b7-470c3a4e4383 · outbound

This paper cites Ronco, Permutads , Journal of Combinatorial Theory, Series A, Volume 120, Issue 2, (2013), Pages 340-365,.

Maximum Likelihood, permutohedra and Associativity Equations Ronco, Permutads , Journal of Combinatorial Theory, Series A, Volume 120, Issue 2, (2013), Pages 340-365,

Reference 26

Resolution
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raw_fallback, observed 2026-08-10T22:38:10.802662Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation c68030a5-d03c-454d-9b52-2a4172d779f4 · outbound

This paper cites an unresolved cited work.

Maximum Likelihood, permutohedra and Associativity Equations Unresolved cited work

Reference 27

Resolution
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raw_fallback, observed 2026-08-10T22:38:10.787907Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-10T22:38:10.369414Z digest=sha256:4e146be076c636d970324f6c291c119a200ba1e191220f9cd05a6e238999009e

Observation 7e83f745-8634-4642-a971-5b70a9317160 · outbound

This paper cites an unresolved cited work.

Maximum Likelihood, permutohedra and Associativity Equations Unresolved cited work

Reference 28

Resolution
unresolved
raw_fallback, observed 2026-08-10T22:38:10.772356Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-10T22:38:10.374988Z digest=sha256:4d5ef065b5107aa5980a49bef3e50dd197a6adeb5f48087ce03b1d342429240b

Observation 43b77f40-d77c-47f3-87c8-ee67d8ef35a2 · outbound

This paper cites an unresolved cited work.

Maximum Likelihood, permutohedra and Associativity Equations Unresolved cited work

Reference 29

Resolution
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raw_fallback, observed 2026-08-10T22:38:10.758466Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-10T22:38:10.380571Z digest=sha256:dcb73865972d0549a283cb6945bc1d4b868837d4383e9230c0058c74ecc7ee4e

Observation 505632e5-d88b-4cfe-87b6-352b1f86cb2e · outbound

This paper cites Micha ek, L.

Maximum Likelihood, permutohedra and Associativity Equations Micha ek, L

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:38:10.744433Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-10T22:38:10.385386Z digest=sha256:49a6561d8e8b01735f310880bf3dc66a24781c4f9465674437c7766f4953f492

Observation 6c333fb1-984d-447b-bb4c-b40dfed6dab8 · outbound

This paper cites Manivel, M.

Maximum Likelihood, permutohedra and Associativity Equations Manivel, M

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:38:10.730670Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-10T22:38:10.390396Z digest=sha256:83efa547ad1abf21bb546e8ebb64a5f971486c1e1b39cb939ea870143cc198de

Observation 9166fad9-846b-419d-8b2c-f11d792defce · outbound

This paper cites Nomizu, Invariant affine connections on homogeneous spaces , Amer.

Maximum Likelihood, permutohedra and Associativity Equations Nomizu, Invariant affine connections on homogeneous spaces , Amer

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:38:10.716263Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-10T22:38:10.395225Z digest=sha256:499619494e2b292415b63a11ecb3345c3aaa666463fb163d27c27724e639a46b

Observation 0b120597-e5e4-4303-86e6-d12f458eef18 · outbound

This paper cites Pennec, 3-Manifold-valued image processing with SPD matrices Riemannian Geometric Statistics in Medical Image Analysis (2020), 75-134.

Maximum Likelihood, permutohedra and Associativity Equations Pennec, 3-Manifold-valued image processing with SPD matrices Riemannian Geometric Statistics in Medical Image Analysis (2020), 75-134

Reference 33

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raw_fallback, observed 2026-08-10T22:38:10.701538Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-10T22:38:10.399508Z digest=sha256:dfa6bf20a8db17366bee626ec94e38db6f3565c54a0002be41832323b768160b

Observation 65416d3f-8515-486d-9094-17925f3a5178 · outbound

This paper cites Ramana, A.

Maximum Likelihood, permutohedra and Associativity Equations Ramana, A

Reference 34

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:38:10.681238Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-10T22:38:10.404244Z digest=sha256:8e60eb7077106caedc4c5dffba5484bcb39d7b24b9c4e0bc703c6a70dd073288

Observation 25f5d1b3-596f-4cea-b02f-cae1a388f70d · outbound

This paper cites an unresolved cited work.

Maximum Likelihood, permutohedra and Associativity Equations Unresolved cited work

Reference 35

Resolution
unresolved
raw_fallback, observed 2026-08-10T22:38:10.667409Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-10T22:38:10.408635Z digest=sha256:68ec10738ece7f9b238c8a3d4759970514e76d946726b279514651c4dffea0e8

Observation b911b10f-c148-44c7-b5e9-c024f9df8a5f · outbound

This paper cites Sturmfels, C.

Maximum Likelihood, permutohedra and Associativity Equations Sturmfels, C

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:38:10.652774Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-10T22:38:10.413541Z digest=sha256:5745f093637f51e83b8db52e4677742ffbf9199e5c0a77bb277fe88518d32fea

Observation fffd64bb-29f9-43e6-acd4-52aa39a30ada · outbound

This paper cites Thaddeus, Complete collineations revisited.

Maximum Likelihood, permutohedra and Associativity Equations Thaddeus, Complete collineations revisited

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:38:10.637864Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-10T22:38:10.418026Z digest=sha256:d82135f5c1024cc70bfc09f45d5d4d80bf48de90b95a4db274fb391b475ff9cf

Observation 73b29f73-9e59-42de-b8bc-dcc677f43d6e · outbound

This paper cites Totaro, The curvature of a Hessian metric, International Journal of Mathematics, World Scientific Publishing Company Vol.

Maximum Likelihood, permutohedra and Associativity Equations Totaro, The curvature of a Hessian metric, International Journal of Mathematics, World Scientific Publishing Company Vol

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:38:10.623051Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-10T22:38:10.422976Z digest=sha256:3489de70b40c58f146bba807ded3987ed94638a75533a76d5fb90fdfd6a5840f

Observation 5604da49-399f-4dbf-a497-cc057d0cd9a7 · outbound

This paper cites Vainsencher, Complete collineations and blowing up determinantal ideals, Mathematische Annalen, 267(3), (1984) 417–432.

Maximum Likelihood, permutohedra and Associativity Equations Vainsencher, Complete collineations and blowing up determinantal ideals, Mathematische Annalen, 267(3), (1984) 417–432

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:38:10.607829Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-10T22:38:10.427665Z digest=sha256:d69b264cf88608ea94c04cd2ddb79c42c2885809b4b6a6003f4704cb380567fd

Observation 283de11d-53cc-476d-b32c-b95014e4c66f · outbound

This paper cites an unresolved cited work.

Maximum Likelihood, permutohedra and Associativity Equations Unresolved cited work

Reference 40

Resolution
unresolved
raw_fallback, observed 2026-08-10T22:38:10.593516Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-10T22:38:10.432044Z digest=sha256:1716f2e4fc2af831801cf1a41438bbb26cf6cd6557adab3f68eb8797f39e178b

Observation 3206c4c5-9003-419c-b8f9-90e222252a0e · outbound

This paper cites Wishart, The generalized product moment distribution in samples from a normal multivariate population, Biometrika, 20A (1928) 32-52.

Maximum Likelihood, permutohedra and Associativity Equations Wishart, The generalized product moment distribution in samples from a normal multivariate population, Biometrika, 20A (1928) 32-52

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:38:10.579160Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-10T22:38:10.436508Z digest=sha256:e246e51385f8060d33433c74fa5577774bb57954cd7e54205c12e9623bae5c93

Pith citing papers

No inbound Pith citation observations are available.