Paper Citation Record · LEDGER

TBP-mHC: full expressivity for manifold-constrained hyper connections through transportation polytopes

As of 20 August 2026, this Paper Citation Record lists 24 of 24 outbound references and 1 inbound Pith citation observation for arXiv:2605.21724.

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

pith.paper-citation-record.v1
2605.21724 v1

Coverage vector

measured 24 of 24 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-22T10:00:07.226252Z

measured 25 of 25 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-01T15:58:13.133012Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

24 of 24 outbound references displayed

verified exact9
verified fuzzy10
unresolved4
parse uncertain0
malformed identifier0
metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 95ffddec-4a9f-44f7-af68-d947d6c65fe7 · outbound

This paper cites Adamn: Accelerating deep learning training via nested momentum and exact bias handling.

TBP-mHC: full expressivity for manifold-constrained hyper connections through transportation polytopes Adamn: Accelerating deep learning training via nested momentum and exact bias handling

Reference 1

Resolution: verified exact; doi, observed 2026-05-22T10:01:22.043609Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation bece2697-7fba-48c1-903a-9fb6120f2397 · outbound

This paper cites Three observations on linear algebra.

TBP-mHC: full expressivity for manifold-constrained hyper connections through transportation polytopes Three observations on linear algebra

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-05-22T10:01:24.320819Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 6daa3d3f-2d5a-4cb4-a4c2-e9115760e91b · outbound

This paper cites an unresolved cited work.

TBP-mHC: full expressivity for manifold-constrained hyper connections through transportation polytopes Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-05-22T10:01:24.324253Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 4b55b82a-5234-4bdc-b70d-b58220ae6ed1 · outbound

This paper cites go- m hc: Direct parameterization of manifold-constrained hyper-connections via generalized orthostochastic matrices.

TBP-mHC: full expressivity for manifold-constrained hyper connections through transportation polytopes go- m hc: Direct parameterization of manifold-constrained hyper-connections via generalized orthostochastic matrices

Reference 4

Resolution: verified exact; arxiv_id, observed 2026-05-22T10:01:23.428336Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 0c9ed930-6215-4b51-872d-1d3e2b363ce4 · outbound

This paper cites an unresolved cited work.

TBP-mHC: full expressivity for manifold-constrained hyper connections through transportation polytopes Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-05-22T10:01:24.327933Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation ceb90352-84c8-46ad-9b32-1655d34a56a3 · outbound

This paper cites On the $\alpha$-lazy version of Markov chains in estimation and testing problems.

TBP-mHC: full expressivity for manifold-constrained hyper connections through transportation polytopes On the $\alpha$-lazy version of Markov chains in estimation and testing problems

Reference 6

Resolution: verified exact; arxiv_id, observed 2026-05-22T10:01:23.433992Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation dfd50303-42e2-47c7-a1d4-bc017f603244 · outbound

This paper cites Openwebtext corpus.

TBP-mHC: full expressivity for manifold-constrained hyper connections through transportation polytopes Openwebtext corpus

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-05-22T10:01:24.335772Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation cd7201cc-0ed0-4f4d-878f-cda2be76d443 · outbound

This paper cites Deep residual learning for image recognition.

TBP-mHC: full expressivity for manifold-constrained hyper connections through transportation polytopes Deep residual learning for image recognition

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-05-22T10:01:24.339917Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 22286512-1c12-40a1-99c0-c95e1b95c04e · outbound

This paper cites Maximal Inequalities and Mixing Times.

TBP-mHC: full expressivity for manifold-constrained hyper connections through transportation polytopes Maximal Inequalities and Mixing Times

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-05-22T10:01:24.317110Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 02455858-86bc-40ec-9f99-1192e825b932 · outbound

This paper cites an unresolved cited work.

TBP-mHC: full expressivity for manifold-constrained hyper connections through transportation polytopes Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-05-22T10:01:24.309069Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation a1178323-1ff9-4227-9f2c-29e73631dadc · outbound

This paper cites Langville and Carl D.

TBP-mHC: full expressivity for manifold-constrained hyper connections through transportation polytopes Langville and Carl D

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-05-22T10:01:24.312937Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation a70a80e3-06e8-4f18-8e64-1e9c65c9463f · outbound

This paper cites Sophia: A Scalable Stochastic Second-order Optimizer for Language Model Pre-training.

TBP-mHC: full expressivity for manifold-constrained hyper connections through transportation polytopes Sophia: A Scalable Stochastic Second-order Optimizer for Language Model Pre-training

Reference 12

Resolution: verified exact; arxiv_id, observed 2026-05-22T10:01:23.417380Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 4483ef33-44ec-4757-b69a-f26d42275e14 · outbound

This paper cites Muon is Scalable for LLM Training.

TBP-mHC: full expressivity for manifold-constrained hyper connections through transportation polytopes Muon is Scalable for LLM Training

Reference 14

Resolution: verified exact; local_arxiv, observed 2026-05-22T10:01:23.422546Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 8c395475-a594-4c46-add0-5ca1e523d93d · outbound

This paper cites Decoupled Weight Decay Regularization.

TBP-mHC: full expressivity for manifold-constrained hyper connections through transportation polytopes Decoupled Weight Decay Regularization

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-05-22T10:01:24.282279Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation b55ee263-7772-45d7-82c8-4aa9dc6003b4 · outbound

This paper cites an unresolved cited work.

TBP-mHC: full expressivity for manifold-constrained hyper connections through transportation polytopes Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-05-22T10:01:24.304803Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 48dabe12-d53b-42b6-b276-a6c7dcad5930 · outbound

This paper cites Mathematical aspects of mixing times in markov chains.

TBP-mHC: full expressivity for manifold-constrained hyper connections through transportation polytopes Mathematical aspects of mixing times in markov chains

Reference 17

Resolution: verified exact; doi, observed 2026-05-22T10:01:22.050397Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 3a55d4ff-358a-43b5-aa31-9c19c9bfe30d · outbound

This paper cites Concerning nonnegative matrices and doubly stochastic matrices.

TBP-mHC: full expressivity for manifold-constrained hyper connections through transportation polytopes Concerning nonnegative matrices and doubly stochastic matrices

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-05-22T10:01:24.270141Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 645232d0-7680-42ff-8ca1-9fcfa9f79476 · outbound

This paper cites Operations Research: An Introduction, Global Edition.

TBP-mHC: full expressivity for manifold-constrained hyper connections through transportation polytopes Operations Research: An Introduction, Global Edition

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-05-22T10:01:24.331871Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 8b835542-6a17-4f1e-811b-40b864a233d1 · outbound

This paper cites an unresolved cited work.

TBP-mHC: full expressivity for manifold-constrained hyper connections through transportation polytopes Unresolved cited work

Reference 20

Resolution: verified exact; doi, observed 2026-05-22T10:01:22.038106Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation eb5bf47d-9a80-4975-aefa-7d348f0d0f81 · outbound

This paper cites mHC: Manifold-Constrained Hyper-Connections.

TBP-mHC: full expressivity for manifold-constrained hyper connections through transportation polytopes mHC: Manifold-Constrained Hyper-Connections

Reference 21

Resolution: verified exact; local_arxiv, observed 2026-05-22T10:01:23.411371Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation ab3b7c36-0b8b-43b7-8af0-3dea12542798 · outbound

This paper cites doi:10.48550/arXiv.2601.05732 , abstract =.

TBP-mHC: full expressivity for manifold-constrained hyper connections through transportation polytopes doi:10.48550/arXiv.2601.05732 , abstract =

Reference 22

Resolution: metadata mismatch; arxiv_id, observed 2026-05-22T10:01:23.440427Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 086f3ebf-a0ff-4797-bf1b-bf3983d0a475 · outbound

This paper cites Root mean square layer normalization.

TBP-mHC: full expressivity for manifold-constrained hyper connections through transportation polytopes Root mean square layer normalization

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-05-22T10:01:24.274528Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 1f2e6b8a-0335-4e20-b3f8-aa1049ceda06 · outbound

This paper cites KromHC: Manifold-Constrained Hyper-Connections with Kronecker-Product Residual Matrices.

TBP-mHC: full expressivity for manifold-constrained hyper connections through transportation polytopes KromHC: Manifold-Constrained Hyper-Connections with Kronecker-Product Residual Matrices

Reference 24

Resolution: verified exact; arxiv_id, observed 2026-06-02T04:04:48.912580Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 1955f986-933e-412b-81b5-8585b5f93482 · outbound

This paper cites Hyper- C onnections.

TBP-mHC: full expressivity for manifold-constrained hyper connections through transportation polytopes Hyper- C onnections

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-05-22T10:01:24.278200Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Pith citing papers

Observation fb5957a7-1995-4571-9377-1c6f62b965f2 · inbound

Manifold-Constrained Hyper-Connections for Parameter-Efficient Finetuning cites this paper.

Manifold-Constrained Hyper-Connections for Parameter-Efficient Finetuning TBP-mHC: full expressivity for manifold-constrained hyper connections through transportation polytopes

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-01T15:58:13.133012Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.