Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-11T21:30:00.458481Z
Paper Citation Record · LEDGER
Learning on hexagonal structures and Monge-Amp\`ere operators
As of 13 August 2026, this Paper Citation Record lists 26 of 26 outbound references and 1 inbound Pith citation observation for arXiv:2412.04407.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-10T22:38:10.287811Z
A source-named dated measurement, never combined with another source.
Source: pith, observed 2026-08-10T22:38:10.496135Z
Reference resolution
26 of 26 outbound references displayed
- verified exact0
- verified fuzzy13
- unresolved13
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation c4569531-2d38-409c-814d-b4bffbb74345 · outbound
This paper cites H., Hinton, G.
Learning on hexagonal structures and Monge-Amp\`ere operators H., Hinton, G
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T21:30:01.057249Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 72eeef80-7a75-4e6b-bd1d-cc72c70926ef · outbound
This paper cites an unresolved cited work.
Learning on hexagonal structures and Monge-Amp\`ere operators Unresolved cited work
Reference 2
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T21:30:01.041481Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 472c1a5c-a6d3-4787-b7b7-a5d594582eca · outbound
This paper cites an unresolved cited work.
Learning on hexagonal structures and Monge-Amp\`ere operators Unresolved cited work
Reference 3
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T21:30:01.024040Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation d6b435cd-b42e-4afc-916e-3f1f850ec4cf · outbound
This paper cites Differential Geometry of Statistical Models.
Learning on hexagonal structures and Monge-Amp\`ere operators Differential Geometry of Statistical Models
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T21:30:01.005653Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 6d35b1dc-ad80-4227-bfbb-4a354e10cdb8 · outbound
This paper cites F., Hitchin, N.
Learning on hexagonal structures and Monge-Amp\`ere operators F., Hitchin, N
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T21:30:00.987224Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation eb100cfc-44a1-46c3-9e6f-f90f99d1a1c7 · outbound
This paper cites Open problems in global analysis.
Learning on hexagonal structures and Monge-Amp\`ere operators Open problems in global analysis
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T21:30:00.969156Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 3ac6f898-3a24-48ee-8277-297952823be4 · outbound
This paper cites an unresolved cited work.
Learning on hexagonal structures and Monge-Amp\`ere operators Unresolved cited work
Reference 7
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T21:30:00.952636Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation b55f430c-7fee-4aba-9d7a-c0ecba5e597c · outbound
This paper cites Polar factorization and monotone rearrangement of vector-valued functions.
Learning on hexagonal structures and Monge-Amp\`ere operators Polar factorization and monotone rearrangement of vector-valued functions
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T21:30:00.934174Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 465207ca-a365-403a-8e9d-35754138a706 · outbound
This paper cites Ceva’s and menelaus’ theorems for the -dimensional space.
Learning on hexagonal structures and Monge-Amp\`ere operators Ceva’s and menelaus’ theorems for the -dimensional space
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T21:30:00.916528Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 46e6280f-8a11-440e-b9f8-4cf87d627e3a · outbound
This paper cites an unresolved cited work.
Learning on hexagonal structures and Monge-Amp\`ere operators Unresolved cited work
Reference 10
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T21:30:00.899241Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 15e54e96-8171-4b58-8d8e-3aa925ff664e · outbound
This paper cites an unresolved cited work.
Learning on hexagonal structures and Monge-Amp\`ere operators Unresolved cited work
Reference 11
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T21:30:00.880307Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 62c8fc01-b18d-4db2-88d7-f1a72eee67c8 · outbound
This paper cites Algebraic properties of the information geometry’s fourth frobenius manifold.
Learning on hexagonal structures and Monge-Amp\`ere operators Algebraic properties of the information geometry’s fourth frobenius manifold
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T21:30:00.858074Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 6021f094-603c-4b0c-b61f-99ea887e3c34 · outbound
This paper cites I., and Marcolli, M.
Learning on hexagonal structures and Monge-Amp\`ere operators I., and Marcolli, M
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T21:30:00.836965Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation fbf191eb-149c-4e29-a70a-1362fe438412 · outbound
This paper cites I., and Marcolli, M.Moufang patterns and geometry of information.
Learning on hexagonal structures and Monge-Amp\`ere operators I., and Marcolli, M.Moufang patterns and geometry of information
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T21:30:00.815766Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 93123916-40f8-4620-bb98-4b4cd2a4a3a0 · outbound
This paper cites Landau-Ginzburg models, Monge-Amp\`ere domains and (pre-)Frobenius manifolds.
Learning on hexagonal structures and Monge-Amp\`ere operators Landau-Ginzburg models, Monge-Amp\`ere domains and (pre-)Frobenius manifolds
Reference 15
- Resolution
- unresolved
- no resolver link, observed 2026-08-11T21:30:00.390948Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 4edf8b3d-bc22-4841-bcbb-87fc9585bc36 · outbound
This paper cites C., and Manin, Y.
Learning on hexagonal structures and Monge-Amp\`ere operators C., and Manin, Y
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T21:30:00.797541Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation a4f05e2c-ea1b-4da7-a3b8-a48c6c6201b4 · outbound
This paper cites Information geometry and learning in formal neural networks.
Learning on hexagonal structures and Monge-Amp\`ere operators Information geometry and learning in formal neural networks
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T21:30:00.776454Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation fcfe5d56-3cb8-4b83-a30e-10414e2d42ac · outbound
This paper cites an unresolved cited work.
Learning on hexagonal structures and Monge-Amp\`ere operators Unresolved cited work
Reference 18
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T21:30:00.753624Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 9b550224-8d57-482f-a5eb-cdd410669e9b · outbound
This paper cites Kikkawa loops and homogeneous loops.
Learning on hexagonal structures and Monge-Amp\`ere operators Kikkawa loops and homogeneous loops
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T21:30:00.735057Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 9332caf4-8eed-4039-bfb8-d624646c9d8e · outbound
This paper cites an unresolved cited work.
Learning on hexagonal structures and Monge-Amp\`ere operators Unresolved cited work
Reference 20
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T21:30:00.715608Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 2acbd633-3def-4a13-a32c-0b518cbffd2c · outbound
This paper cites an unresolved cited work.
Learning on hexagonal structures and Monge-Amp\`ere operators Unresolved cited work
Reference 21
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T21:30:00.690587Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 91d94157-4540-4fba-96b3-2dbf8410ba1e · outbound
This paper cites an unresolved cited work.
Learning on hexagonal structures and Monge-Amp\`ere operators Unresolved cited work
Reference 22
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T21:30:00.662515Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation bc8b4b22-dec2-40a9-8e35-41be4ddd9e18 · outbound
This paper cites an unresolved cited work.
Learning on hexagonal structures and Monge-Amp\`ere operators Unresolved cited work
Reference 23
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T21:30:00.632992Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 98c5a75e-061d-4f3e-85bf-e88ac771ecc1 · outbound
This paper cites an unresolved cited work.
Learning on hexagonal structures and Monge-Amp\`ere operators Unresolved cited work
Reference 24
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T21:30:00.609293Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 24b99ab2-b17d-4d23-85b9-03c691f6d551 · outbound
This paper cites Restricted boltzmann machines for collab- orative filtering.
Learning on hexagonal structures and Monge-Amp\`ere operators Restricted boltzmann machines for collab- orative filtering
Reference 25
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T21:30:00.581337Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 91dc6fb0-4d65-4b20-8013-7e559a7861a1 · outbound
This paper cites an unresolved cited work.
Learning on hexagonal structures and Monge-Amp\`ere operators Unresolved cited work
Reference 26
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T21:30:00.553953Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Pith citing papers
Observation 9b8f4765-d7cc-4124-b0a2-5cb7ea489c86 · inbound
Maximum Likelihood, permutohedra and Associativity Equations cites this paper.
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
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.