Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-07T12:28:26.244256Z
Paper Citation Record · LEDGER
Directional Non-Commutative Monoidal Structures with Interchange Law via Commutative Generators
As of 8 August 2026, this Paper Citation Record lists 14 of 14 outbound references and 1 inbound Pith citation observation for arXiv:2505.24533.
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 2026-08-08T06:32:00.761636+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-07T11:07:46.791009Z
A source-named dated measurement, never combined with another source.
Source: pith, observed 2026-08-07T11:07:47.241090Z
Reference resolution
14 of 14 outbound references displayed
- verified exact0
- verified fuzzy3
- unresolved11
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 632e3f87-ed57-4fa6-866d-f6dcc0933008 · outbound
This paper cites an unresolved cited work.
Directional Non-Commutative Monoidal Structures with Interchange Law via Commutative Generators Unresolved cited work
Reference 1
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T12:28:28.053187Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 830bf883-9ae2-4484-90df-e35d7847d71b · outbound
This paper cites an unresolved cited work.
Directional Non-Commutative Monoidal Structures with Interchange Law via Commutative Generators Unresolved cited work
Reference 2
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T12:28:27.886705Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation cef5ee57-bf6b-4383-bf97-77a3503e6f2c · outbound
This paper cites C., & Chubb, C.
Directional Non-Commutative Monoidal Structures with Interchange Law via Commutative Generators C., & Chubb, C
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T12:28:27.696607Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 7203972c-4feb-4c28-844e-73a3df58234d · outbound
This paper cites C., & Stay, M.
Directional Non-Commutative Monoidal Structures with Interchange Law via Commutative Generators C., & Stay, M
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T12:28:27.514257Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation b63af2b3-d1c9-49c7-ad10-970f6d895629 · outbound
This paper cites RoFormer: Enhanced Transformer with Rotary Position Embedding.
Directional Non-Commutative Monoidal Structures with Interchange Law via Commutative Generators RoFormer: Enhanced Transformer with Rotary Position Embedding
Reference 5
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T12:28:25.363378Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 447ff191-ed4b-4614-93fa-1342e5f7ca96 · outbound
This paper cites DeBERTa: Decoding-enhanced BERT with Disentangled Attention.
Directional Non-Commutative Monoidal Structures with Interchange Law via Commutative Generators DeBERTa: Decoding-enhanced BERT with Disentangled Attention
Reference 6
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T12:28:25.517720Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e4866a90-8ccd-4068-9396-8b0318dbe51c · outbound
This paper cites an unresolved cited work.
Directional Non-Commutative Monoidal Structures with Interchange Law via Commutative Generators Unresolved cited work
Reference 7
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T12:28:27.318208Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 6ff3c93d-5bb1-4415-9c11-f7fad8ac0dba · outbound
This paper cites an unresolved cited work.
Directional Non-Commutative Monoidal Structures with Interchange Law via Commutative Generators Unresolved cited work
Reference 8
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T12:28:27.173282Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation d8089608-b957-44cc-be8c-942844afef2b · outbound
This paper cites Online Adaptive Policy Selection in Time-Varying Systems: No-Regret via Contractive Perturbations.
Directional Non-Commutative Monoidal Structures with Interchange Law via Commutative Generators Online Adaptive Policy Selection in Time-Varying Systems: No-Regret via Contractive Perturbations
Reference 9
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T12:28:25.837825Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 6b213c75-9ef2-4096-a96a-bab488d6ce45 · outbound
This paper cites H., Zhao, Q., & Mandic, D.
Directional Non-Commutative Monoidal Structures with Interchange Law via Commutative Generators H., Zhao, Q., & Mandic, D
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T12:28:26.981788Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation b806b2c4-31b2-4601-ba28-b8ec9f2a368a · outbound
This paper cites an unresolved cited work.
Directional Non-Commutative Monoidal Structures with Interchange Law via Commutative Generators Unresolved cited work
Reference 11
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T12:28:26.791945Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation c88c17f0-29ea-40d7-98ae-e24f309d1f41 · outbound
This paper cites Directional Non-Commutative Monoidal Structures for Compositional Embeddings in Machine Learning.
Directional Non-Commutative Monoidal Structures with Interchange Law via Commutative Generators Directional Non-Commutative Monoidal Structures for Compositional Embeddings in Machine Learning
Reference 12
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T12:28:26.062143Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d0640e0f-dfc2-4aa4-8438-6838fa4155e5 · outbound
This paper cites an unresolved cited work.
Directional Non-Commutative Monoidal Structures with Interchange Law via Commutative Generators Unresolved cited work
Reference 13
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T12:28:26.617900Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 664f664b-32ee-481e-a6bb-34aebb881d64 · outbound
This paper cites an unresolved cited work.
Directional Non-Commutative Monoidal Structures with Interchange Law via Commutative Generators Unresolved cited work
Reference 14
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T12:28:26.462537Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Pith citing papers
Observation 3625cada-ee27-4faf-a4d0-a59e5a8f189b · inbound
Directional Non-Commutative Monoidal Embeddings for MNIST cites this paper.
Directional Non-Commutative Monoidal Embeddings for MNIST Directional Non-Commutative Monoidal Structures with Interchange Law via Commutative Generators
Reference 2
- Resolution
- verified exact
- local_arxiv, observed 2026-08-07T11:07:47.362311Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.