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Paper Citation Record · LEDGER

A Unique Normal Form for Tensor Trains over Arbitrary Fields

As of 20 August 2026, this Paper Citation Record lists 19 of 19 outbound references and 0 inbound Pith citation observations for arXiv:2607.06271.

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

pith.paper-citation-record.v1
2607.06271 v1

Coverage vector

measured 19 of 19 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-11T11:50:26.030339Z

measured 19 of 19 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+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

19 of 19 outbound references displayed

  • verified exact13
  • verified fuzzy1
  • unresolved0
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch5

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 206800d6-c9c5-478d-8ea8-676a903e3c0a · outbound

This paper cites Efficient Decomposition of Dense Matrices over GF(2).

A Unique Normal Form for Tensor Trains over Arbitrary Fields Efficient Decomposition of Dense Matrices over GF(2)

Reference 1

Resolution
metadata mismatch
local_arxiv, observed 2026-07-08T11:44:51.024882Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation cd8e0821-18cf-4c93-a040-e820d9fe490b · outbound

This paper cites 4 David Bergman and Andre A.

A Unique Normal Form for Tensor Trains over Arbitrary Fields 4 David Bergman and Andre A

Reference 2

Resolution
verified exact
doi, observed 2026-07-08T11:44:51.063783Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation 99784fe3-ce57-49de-ad9e-50e383a21539 · outbound

This paper cites 5 Beate Bollig and Ingo Wegener.

A Unique Normal Form for Tensor Trains over Arbitrary Fields 5 Beate Bollig and Ingo Wegener

Reference 3

Resolution
verified exact
doi, observed 2026-07-08T11:44:51.037155Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-07-08T11:42:28.094908Z digest=sha256:ea0569ddec77eee4bd6ba46614eb53734380dbdb305b042a73b48ac19ffc41bf

Observation f4c7a5f7-93ff-4f7d-8029-627ae521c0cd · outbound

This paper cites 7 Michael Brickenstein and Alexander Dreyer.

A Unique Normal Form for Tensor Trains over Arbitrary Fields 7 Michael Brickenstein and Alexander Dreyer

Reference 4

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verified exact
arxiv_id, observed 2026-07-08T11:44:51.035094Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-07-08T11:42:28.094908Z digest=sha256:07aa6dbad2fbb475cd37621d99ed954f28af3989c36d1c9b6d32f9ba0d3ee7bb

Observation d6e2df81-30c5-4637-beab-6294d7f2aaba · outbound

This paper cites URL:http://dx.doi.org/10.1016/j.jsc.2008.

A Unique Normal Form for Tensor Trains over Arbitrary Fields URL:http://dx.doi.org/10.1016/j.jsc.2008

Reference 5

Resolution
verified exact
doi, observed 2026-07-08T11:44:51.039037Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-07-08T11:42:28.094908Z digest=sha256:a473f317eb5dfd4d4ee5e2d2b9724dce816ef6e726bc147346d38676a55748aa

Observation 055fce84-44b4-464f-a536-3e6a136b774f · outbound

This paper cites URL http://dx.

A Unique Normal Form for Tensor Trains over Arbitrary Fields URL http://dx

Reference 6

Resolution
metadata mismatch
doi, observed 2026-07-08T11:44:51.043355Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-07-08T11:42:28.094908Z digest=sha256:688a9957f479e5908207f307f2be7da9d6c1634479130e98fcad301c8ee43a26

Observation 0bf83f1c-6baa-4e7c-863a-d09531e9dd63 · outbound

This paper cites 11 Edmund M.

A Unique Normal Form for Tensor Trains over Arbitrary Fields 11 Edmund M

Reference 7

Resolution
verified exact
doi, observed 2026-07-08T11:44:51.048389Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-07-08T11:42:28.094908Z digest=sha256:35328940f164f8ac302bf1066943aac9790e3fb3aff7c295aab4dfbf20d17683

Observation 62af40c4-e51a-46f3-b36e-6e370761465f · outbound

This paper cites 13 Gene H Golub and Charles F Van Loan.Matrix Computations.

A Unique Normal Form for Tensor Trains over Arbitrary Fields 13 Gene H Golub and Charles F Van Loan.Matrix Computations

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-07-08T11:44:51.849531Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-07-08T11:42:28.094908Z digest=sha256:3e3b0a06a5b2a0c7e8168c19216fbd1ba8f887e04eaaeb0c796627f9b742f46e

Observation 329d5905-cfe2-4805-be5b-634e19be96d3 · outbound

This paper cites Hackbusch,Tensor spaces and numerical tensor calculus, vol.

A Unique Normal Form for Tensor Trains over Arbitrary Fields Hackbusch,Tensor spaces and numerical tensor calculus, vol

Reference 9

Resolution
verified exact
doi, observed 2026-07-08T11:44:51.054813Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-07-08T11:42:28.094908Z digest=sha256:cd5244ea6e1ab3bb1b049d501585ce9b4f8288c1acc08134977cde9d417b89a5

Observation b08bc482-b9a8-4dc2-9730-321f3793934f · outbound

This paper cites 16 Xin Hong, Xiangzhen Zhou, Sanjiang Li, Yuan Feng, and Mingsheng Ying.

A Unique Normal Form for Tensor Trains over Arbitrary Fields 16 Xin Hong, Xiangzhen Zhou, Sanjiang Li, Yuan Feng, and Mingsheng Ying

Reference 10

Resolution
verified exact
doi, observed 2026-07-08T11:44:51.061536Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation 1f6d46ef-33a2-4dc8-9c6c-a7332ba9b80f · outbound

This paper cites Pictures of Processes: Automated Graph Rewriting for Monoidal Categories and Applications to Quantum Computing.

A Unique Normal Form for Tensor Trains over Arbitrary Fields Pictures of Processes: Automated Graph Rewriting for Monoidal Categories and Applications to Quantum Computing

Reference 11

Resolution
verified exact
local_arxiv, observed 2026-07-08T11:44:51.052405Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation 3e734162-0ced-40c7-be1c-71c6d30bd1e8 · outbound

This paper cites MacLane, Categories for the working mathematician , Graduate Texts in Mathematics, Springer, Berlin (2nd ed.

A Unique Normal Form for Tensor Trains over Arbitrary Fields MacLane, Categories for the working mathematician , Graduate Texts in Mathematics, Springer, Berlin (2nd ed

Reference 12

Resolution
verified exact
doi, observed 2026-07-08T11:44:51.045892Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation 54e561dd-4a12-488d-92eb-d76547a6089b · outbound

This paper cites an unresolved cited work.

A Unique Normal Form for Tensor Trains over Arbitrary Fields Unresolved cited work

Reference 13

Resolution
verified exact
doi, observed 2026-07-08T11:44:51.057187Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation 71913228-3b94-43ec-a53b-2eae0dfb57ec · outbound

This paper cites Saad,Numerical methods for large eigenvalue prob- lems: revised edition(SIAM, 2011), URLhttp://dx.

A Unique Normal Form for Tensor Trains over Arbitrary Fields Saad,Numerical methods for large eigenvalue prob- lems: revised edition(SIAM, 2011), URLhttp://dx

Reference 14

Resolution
verified exact
doi, observed 2026-07-08T11:44:51.041617Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation e784f5de-019e-4f54-9951-3166d4186b4a · outbound

This paper cites V.

A Unique Normal Form for Tensor Trains over Arbitrary Fields V

Reference 15

Resolution
verified exact
doi, observed 2026-07-08T11:44:51.027085Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation 40cf47bc-ff78-41e6-89d3-4d3418876492 · outbound

This paper cites and Verstraete, F.

A Unique Normal Form for Tensor Trains over Arbitrary Fields and Verstraete, F

Reference 16

Resolution
verified exact
doi, observed 2026-07-08T11:44:51.031639Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation 49bb824f-0160-4c33-982e-592381704001 · outbound

This paper cites From Tensor Networks to Tractable Circuits, and back.

A Unique Normal Form for Tensor Trains over Arbitrary Fields From Tensor Networks to Tractable Circuits, and back

Reference 17

Resolution
metadata mismatch
local_arxiv, observed 2026-07-08T11:44:51.175835Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-07-08T11:42:28.094908Z digest=sha256:555e42b484728c08c760fa12b698a4b966af07b26f74a1ffd6b047540e5ea839

Observation 3ac4d0fc-e698-4cb8-a843-9555915efbae · outbound

This paper cites Selinger.

A Unique Normal Form for Tensor Trains over Arbitrary Fields Selinger

Reference 18

Resolution
metadata mismatch
doi, observed 2026-07-08T11:44:51.059325Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation bbd0566f-5d7c-4ee6-bed5-d388a6e83e2b · outbound

This paper cites Speed Optimized Two-Qubit Gates with Laser Coherent Control Techniques for Ion Trap Quan- tum Computing.

A Unique Normal Form for Tensor Trains over Arbitrary Fields Speed Optimized Two-Qubit Gates with Laser Coherent Control Techniques for Ion Trap Quan- tum Computing

Reference 19

Resolution
metadata mismatch
doi, observed 2026-07-08T11:44:51.029523Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Pith citing papers

No inbound Pith citation observations are available.