Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-09T22:49:48.971136Z
Paper Citation Record · LEDGER
Advancing Geometry with AI: Multi-agent Generation of Polytopes
As of 11 August 2026, this Paper Citation Record lists 34 of 34 outbound references and 7 inbound Pith citation observations for arXiv:2502.05199.
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 2026-08-11T06:34:44.6726+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-07T12:45:47.269752Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-07-04T09:59:45.510337Z
Reference resolution
34 of 34 outbound references displayed
- verified exact1
- verified fuzzy23
- unresolved9
- parse uncertain0
- malformed identifier1
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation d96482e4-622c-434b-a309-2f66c36283df · outbound
This paper cites Deformed products and maximal shadows of polytopes.
Advancing Geometry with AI: Multi-agent Generation of Polytopes Deformed products and maximal shadows of polytopes
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-09T22:49:49.326573Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 675f91d7-8fb0-4c2f-8907-9c467551289c · outbound
This paper cites Polytopes and Machine Learning.
Advancing Geometry with AI: Multi-agent Generation of Polytopes Polytopes and Machine Learning
Reference 2
- Resolution
- unresolved
- no resolver link, observed 2026-08-09T22:49:48.855572Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 01b2ef8b-6a97-4f9f-bf79-a359c5b8cd33 · outbound
This paper cites The simplex method: a probabilistic analysis.
Advancing Geometry with AI: Multi-agent Generation of Polytopes The simplex method: a probabilistic analysis
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-09T22:49:49.316879Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation b2555108-3fb3-42cc-b416-a7faaf784195 · outbound
This paper cites Reverb: A Framework For Experience Replay.
Advancing Geometry with AI: Multi-agent Generation of Polytopes Reverb: A Framework For Experience Replay
Reference 4
- Resolution
- unresolved
- no resolver link, observed 2026-08-09T22:49:48.863354Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d4b658eb-9de2-4356-9f81-8e8a7159e446 · outbound
This paper cites Machine learning: The di- mension of a polytope.
Advancing Geometry with AI: Multi-agent Generation of Polytopes Machine learning: The di- mension of a polytope
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-09T22:49:49.307406Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation dbe8a2dc-1d66-420f-afde-191078dc8b3b · outbound
This paper cites Linear programming and extensions.
Advancing Geometry with AI: Multi-agent Generation of Polytopes Linear programming and extensions
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-09T22:49:49.297475Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation ace8166b-5b31-4763-8f14-ba8ccd7af770 · outbound
This paper cites Advancing mathematics by guiding human intuition with AI.
Advancing Geometry with AI: Multi-agent Generation of Polytopes Advancing mathematics by guiding human intuition with AI
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-09T22:49:49.288076Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 355ad0fd-b005-4a28-be1a-1ad730c06e6d · outbound
This paper cites an unresolved cited work.
Advancing Geometry with AI: Multi-agent Generation of Polytopes Unresolved cited work
Reference 8
- Resolution
- unresolved
- raw_fallback, observed 2026-08-09T22:49:49.278617Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 5da2da08-b260-4e8b-be92-95d0ef6d87a8 · outbound
This paper cites Neighbourly polytopes with few vertices.
Advancing Geometry with AI: Multi-agent Generation of Polytopes Neighbourly polytopes with few vertices
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-09T22:49:49.269035Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation add18001-0681-4554-98c1-9c19777a1f6a · outbound
This paper cites Discovering faster matrix multiplication algorithms with reinforcement learning.
Advancing Geometry with AI: Multi-agent Generation of Polytopes Discovering faster matrix multiplication algorithms with reinforcement learning
Reference 10
- Resolution
- malformed identifier
- no resolver link, observed 2026-08-09T22:49:48.884272Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 2c848386-37a7-475d-b57d-f7f44ece184e · outbound
This paper cites Combinatorial face enumeration in convex polytopes.
Advancing Geometry with AI: Multi-agent Generation of Polytopes Combinatorial face enumeration in convex polytopes
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-09T22:49:49.259641Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 0230a2a5-a3ac-454b-9378-71335d2aba8c · outbound
This paper cites Neighborly and cyclic polytopes.
Advancing Geometry with AI: Multi-agent Generation of Polytopes Neighborly and cyclic polytopes
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-09T22:49:49.249727Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 82e47866-2c6e-42c7-b3ac-06b263ce37be · outbound
This paper cites Polymake: a framework for analyzing convex poly- topes.
Advancing Geometry with AI: Multi-agent Generation of Polytopes Polymake: a framework for analyzing convex poly- topes
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-09T22:49:49.239858Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 10a57e71-1111-4086-8105-ad38cbb34bc8 · outbound
This paper cites Machine-learning mathematical structures.
Advancing Geometry with AI: Multi-agent Generation of Polytopes Machine-learning mathematical structures
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-09T22:49:49.230284Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation a2d0976e-bd85-4d01-943d-828f77c00a2d · outbound
This paper cites Machine Learning in Physics and Geometry.
Advancing Geometry with AI: Multi-agent Generation of Polytopes Machine Learning in Physics and Geometry
Reference 15
- Resolution
- unresolved
- no resolver link, observed 2026-08-09T22:49:48.901163Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d6ab19f8-6d10-4fc9-8588-9e1a47884743 · outbound
This paper cites Gaussian Error Linear Units (GELUs).
Advancing Geometry with AI: Multi-agent Generation of Polytopes Gaussian Error Linear Units (GELUs)
Reference 16
- Resolution
- unresolved
- no resolver link, observed 2026-08-09T22:49:48.905065Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d0326f3e-3f40-440c-8f35-45cbc40363b0 · outbound
This paper cites A quasi-polynomial bound for the diameter of graphs of polyhedra.
Advancing Geometry with AI: Multi-agent Generation of Polytopes A quasi-polynomial bound for the diameter of graphs of polyhedra
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-09T22:49:49.220357Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 0c979ca5-1879-40b1-9803-3aa9d07e4f2f · outbound
This paper cites Adam: A Method for Stochastic Optimization.
Advancing Geometry with AI: Multi-agent Generation of Polytopes Adam: A Method for Stochastic Optimization
Reference 18
- Resolution
- unresolved
- no resolver link, observed 2026-08-09T22:49:48.912356Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 58479359-f6fd-4743-9de0-c9d9332a624d · outbound
This paper cites How good is the simplex algorithm.
Advancing Geometry with AI: Multi-agent Generation of Polytopes How good is the simplex algorithm
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-09T22:49:49.210633Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 4f08d784-48bf-48d4-8d58-0584ff1a454e · outbound
This paper cites The width of five-dimensional prismatoids.
Advancing Geometry with AI: Multi-agent Generation of Polytopes The width of five-dimensional prismatoids
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-09T22:49:49.200654Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 6037b6c5-14f5-4d9e-bec4-5998c2891426 · outbound
This paper cites polyDB: a database for polytopes and related objects.
Advancing Geometry with AI: Multi-agent Generation of Polytopes polyDB: a database for polytopes and related objects
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-09T22:49:49.189915Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 0ab262c2-6702-48d2-bbe5-9813ed8e75f5 · outbound
This paper cites On the monotone upper bound problem.
Advancing Geometry with AI: Multi-agent Generation of Polytopes On the monotone upper bound problem
Reference 22
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-09T22:49:49.180194Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 0853e1ec-461d-4213-b841-eb349f98a6b4 · outbound
This paper cites A counterexample to the Hirsch conjecture.
Advancing Geometry with AI: Multi-agent Generation of Polytopes A counterexample to the Hirsch conjecture
Reference 23
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-09T22:49:49.170109Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation f6a996b8-90a2-4ef7-82e1-41d76079ca84 · outbound
This paper cites Recent progress on the combinatorial diameter of polytopes and simplicial complexes.
Advancing Geometry with AI: Multi-agent Generation of Polytopes Recent progress on the combinatorial diameter of polytopes and simplicial complexes
Reference 24
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-09T22:49:49.160161Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 7e7cb927-1b18-44a6-a29b-8572b9507241 · outbound
This paper cites Neighborly polytopes.
Advancing Geometry with AI: Multi-agent Generation of Polytopes Neighborly polytopes
Reference 25
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-09T22:49:49.150045Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 0021634e-820f-44ed-8dc2-ef1a724ef20d · outbound
This paper cites Techniques for investigating neighborly polytopes.
Advancing Geometry with AI: Multi-agent Generation of Polytopes Techniques for investigating neighborly polytopes
Reference 26
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-09T22:49:49.139144Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 1b4c92fc-83de-4750-9e88-0951fc36fa8f · outbound
This paper cites An asymptotically improved upper bound on the diameter of polyhe- dra.
Advancing Geometry with AI: Multi-agent Generation of Polytopes An asymptotically improved upper bound on the diameter of polyhe- dra
Reference 27
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-09T22:49:49.128493Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 5dadd83c-fcca-4785-9e53-3f276d28ad2f · outbound
This paper cites An improved Kalai–Kleitman bound for the diameter of a polyhedron.
Advancing Geometry with AI: Multi-agent Generation of Polytopes An improved Kalai–Kleitman bound for the diameter of a polyhedron
Reference 28
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-09T22:49:49.118079Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation c58e6506-3f74-43dc-8e65-331f984b23cf · outbound
This paper cites Attention Is All You Need.
Advancing Geometry with AI: Multi-agent Generation of Polytopes Attention Is All You Need
Reference 29
- Resolution
- unresolved
- no resolver link, observed 2026-08-09T22:49:48.952846Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ce3dc1e6-999f-4c38-9a99-59b6d1da92c6 · outbound
This paper cites Constructions in combinatorics via neural networks.
Advancing Geometry with AI: Multi-agent Generation of Polytopes Constructions in combinatorics via neural networks
Reference 30
- Resolution
- unresolved
- no resolver link, observed 2026-08-09T22:49:48.956768Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 0c354466-48eb-4aad-9bd4-3fcae1fd5986 · outbound
This paper cites Generalized cross entropy loss for training deep neural networks with noisy labels.
Advancing Geometry with AI: Multi-agent Generation of Polytopes Generalized cross entropy loss for training deep neural networks with noisy labels
Reference 31
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-09T22:49:49.107532Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 422fd71b-a001-4ee2-98be-d4a25e097cec · outbound
This paper cites Convex polytopes: extremal constructions and f -vector shapes.
Advancing Geometry with AI: Multi-agent Generation of Polytopes Convex polytopes: extremal constructions and f -vector shapes
Reference 32
- Resolution
- verified exact
- doi, observed 2026-08-09T22:49:49.011744Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation fea7825e-273d-450b-a995-8aa678a4e0a2 · outbound
This paper cites an unresolved cited work.
Advancing Geometry with AI: Multi-agent Generation of Polytopes Unresolved cited work
Reference 33
- Resolution
- unresolved
- no resolver link, observed 2026-08-09T22:49:48.967503Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 5af7cd18-7245-4735-b72b-1e5a99ca3a5a · outbound
This paper cites Polymath 3: Polynomial Hirsch Conjecture.
Advancing Geometry with AI: Multi-agent Generation of Polytopes Polymath 3: Polynomial Hirsch Conjecture
Reference 34
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-09T22:49:49.096887Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Pith citing papers
Observation da1dde70-0fa3-4a5c-8cea-a2b5559ecacd · inbound
Using Reasoning Models to Generate Search Heuristics that Solve Open Instances of Combinatorial Design Problems cites this paper.
Using Reasoning Models to Generate Search Heuristics that Solve Open Instances of Combinatorial Design Problems Advancing Geometry with AI: Multi-agent Generation of Polytopes
Reference 46
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T12:45:47.269752Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 763f1a7d-4aa1-4840-9091-6d5c3023b29d · inbound
Mathematical exploration and discovery at scale cites this paper.
Mathematical exploration and discovery at scale Advancing Geometry with AI: Multi-agent Generation of Polytopes
Reference 276
- Resolution
- verified exact
- arxiv_id, observed 2026-05-18T01:20:34.498510Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation f21490c1-faac-4fd4-a1fb-04b70825103a · inbound
AI for Mathematics: Progress, Challenges, and Prospects cites this paper.
AI for Mathematics: Progress, Challenges, and Prospects Advancing Geometry with AI: Multi-agent Generation of Polytopes
Reference 132
- Resolution
- verified exact
- arxiv_id, observed 2026-05-16T13:27:55.627049Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 12d76a2a-525c-497f-87ef-0e7ec7388a70 · inbound
Improved Upper Bounds for Slicing the Hypercube cites this paper.
Improved Upper Bounds for Slicing the Hypercube Advancing Geometry with AI: Multi-agent Generation of Polytopes
Reference 36
- Resolution
- unresolved
- no resolver link, observed 2026-08-03T03:49:17.404619Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 1fb0ee5e-2374-497f-aa6e-34b4584ec2d3 · inbound
Hierarchical Reinforcement Learning for Sparse-Reward Search in Commutative Algebra cites this paper.
Hierarchical Reinforcement Learning for Sparse-Reward Search in Commutative Algebra Advancing Geometry with AI: Multi-agent Generation of Polytopes
Reference 20
- Resolution
- metadata mismatch
- arxiv_id, observed 2026-07-04T09:59:45.511842Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation d61d4a90-d487-410c-a391-dca048c0e1be · inbound
A ChatGPT-assisted Triangle Characterization of Affine Permutation Inversion Graphs cites this paper.
A ChatGPT-assisted Triangle Characterization of Affine Permutation Inversion Graphs Advancing Geometry with AI: Multi-agent Generation of Polytopes
Reference 16
- Resolution
- unresolved
- no resolver link, observed 2026-07-13T05:42:29.726060Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 37ce9808-6799-40f6-bb51-c03e1ec9c157 · inbound
LLM Framework for Discovering Major Mathematical Conjectures: AI's Quest for the Next Riemann Hypothesis cites this paper.
LLM Framework for Discovering Major Mathematical Conjectures: AI's Quest for the Next Riemann Hypothesis Advancing Geometry with AI: Multi-agent Generation of Polytopes
Reference 10
- Resolution
- unresolved
- no resolver link, observed 2026-08-03T00:54:45.290298Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.