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Paper Citation Record · LEDGER

Quasitubal Tensor Algebra Over Separable Hilbert Spaces

As of 21 August 2026, this Paper Citation Record lists 24 of 24 outbound references and 4 inbound Pith citation observations for arXiv:2504.16231.

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

pith.paper-citation-record.v1
2504.16231 v2

Coverage vector

measured 24 of 24 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-16T11:18:24.061917Z

measured 28 of 28 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 4 of 4 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T23:21:24.120504Z

measured 1 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-08-05T02:28:24.338817Z

Reference resolution

24 of 24 outbound references displayed

  • verified exact0
  • verified fuzzy5
  • unresolved19
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

0
arxiv_reference, observed 2026-08-05T02:28:24.338817Z

Outbound references

Observation 8ae8987b-4f12-4033-af64-9c0b75cd9cdb · outbound

This paper cites Battles and L.

Quasitubal Tensor Algebra Over Separable Hilbert Spaces Battles and L

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T11:18:24.932316Z

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.

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Observation a3f92876-74b6-410a-b320-7c39259ac2d9 · outbound

This paper cites an unresolved cited work.

Quasitubal Tensor Algebra Over Separable Hilbert Spaces Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-16T11:18:24.916535Z

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.

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Observation c10c2ec2-a84d-4640-8013-108b3dadc7e5 · outbound

This paper cites an unresolved cited work.

Quasitubal Tensor Algebra Over Separable Hilbert Spaces Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-16T11:18:24.792004Z

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.

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Observation 93dae4e4-e6e5-429b-a8f4-b7c3487913a7 · outbound

This paper cites an unresolved cited work.

Quasitubal Tensor Algebra Over Separable Hilbert Spaces Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-16T11:18:24.743648Z

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.

source=pdf_text observed=2026-08-16T11:18:23.651493Z digest=sha256:9f9a950599dd75d8861a0def1e3a87c5755aee83df76cefd77fd58ebf745594a

Observation 6f166873-3b93-4876-a903-d948fb967f81 · outbound

This paper cites an unresolved cited work.

Quasitubal Tensor Algebra Over Separable Hilbert Spaces Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-16T11:18:24.726895Z

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.

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Observation b6192761-98d1-48c9-b9f2-32af8aea8f07 · outbound

This paper cites an unresolved cited work.

Quasitubal Tensor Algebra Over Separable Hilbert Spaces Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-16T11:18:24.711594Z

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.

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Observation 4ef73b4f-83db-4112-acee-6988986022f1 · outbound

This paper cites Kernfeld, M.

Quasitubal Tensor Algebra Over Separable Hilbert Spaces Kernfeld, M

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T11:18:24.695979Z

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.

source=pdf_text observed=2026-08-16T11:18:23.731717Z digest=sha256:8ea3dc858004e162d7c79ca0a533ad2d4f135c0cb7a68e6c8a6370f0894f6014

Observation fe3f8e2b-55a9-40ca-a3e4-01d771c520ae · outbound

This paper cites an unresolved cited work.

Quasitubal Tensor Algebra Over Separable Hilbert Spaces Unresolved cited work

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-16T11:18:23.850271Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T11:18:23.850271Z digest=sha256:6f564782edb34cf3f9fd859766d85215b41d3ac807f4637510b3a6056872377a

Observation fcb3c480-f1dc-46a3-8985-0e08b4b01696 · outbound

This paper cites an unresolved cited work.

Quasitubal Tensor Algebra Over Separable Hilbert Spaces Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-16T11:18:24.613645Z

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.

source=pdf_text observed=2026-08-16T11:18:23.861078Z digest=sha256:503afad13d379e6f868e77d78cf0f8b01d710c130ba8533fe8914382f0d175da

Observation 89ed9295-f848-4338-8019-0886b6968de0 · outbound

This paper cites an unresolved cited work.

Quasitubal Tensor Algebra Over Separable Hilbert Spaces Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-16T11:18:24.579233Z

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.

source=pdf_text observed=2026-08-16T11:18:23.867086Z digest=sha256:e725e56cb20835c1ff79b9e92d5458c07a5ce2ac5e6a6a77ebdd727e415cf286

Observation a29bf527-9a17-4824-aba4-b3a7ad216cb3 · outbound

This paper cites an unresolved cited work.

Quasitubal Tensor Algebra Over Separable Hilbert Spaces Unresolved cited work

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-16T11:18:23.871540Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T11:18:23.871540Z digest=sha256:f2d95617c4bd3e74356eebc5faf02327c5c7ea6168eaa73d28efd3bcd791c7d0

Observation d037a251-7e4b-407c-a8be-55847cec0198 · outbound

This paper cites an unresolved cited work.

Quasitubal Tensor Algebra Over Separable Hilbert Spaces Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-16T11:18:24.552002Z

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.

source=pdf_text observed=2026-08-16T11:18:23.876180Z digest=sha256:28dcd6f28273ba029eb884a3cbf51b1a2f1bfeaf579865603177dd5faf3ac05c

Observation 1174e554-78f9-4458-b0df-3d50a786ec94 · outbound

This paper cites an unresolved cited work.

Quasitubal Tensor Algebra Over Separable Hilbert Spaces Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-16T11:18:24.536190Z

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.

source=pdf_text observed=2026-08-16T11:18:23.881072Z digest=sha256:9821668f7ee73a23cf143a427f146e9241f936efe1cac09739774e4e3b6d0838

Observation 614df242-2f6b-4919-816c-09ddd8a1b80a · outbound

This paper cites an unresolved cited work.

Quasitubal Tensor Algebra Over Separable Hilbert Spaces Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-16T11:18:24.480656Z

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.

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Observation a073784e-5af6-4788-93f5-9a03c70201d1 · outbound

This paper cites an unresolved cited work.

Quasitubal Tensor Algebra Over Separable Hilbert Spaces Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-16T11:18:24.396543Z

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.

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Observation 4982eaf9-171d-49bb-a4de-92aa18b25aa6 · outbound

This paper cites an unresolved cited work.

Quasitubal Tensor Algebra Over Separable Hilbert Spaces Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-08-16T11:18:24.378442Z

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.

source=pdf_text observed=2026-08-16T11:18:23.895802Z digest=sha256:b4cd9b7d9fa36607ee408ab9692e022556678355e1a3927f8b5fecdebcf6b336

Observation bd1b2da0-0b3a-42c5-8d2b-59d88be1a6e1 · outbound

This paper cites Miron, Y.

Quasitubal Tensor Algebra Over Separable Hilbert Spaces Miron, Y

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T11:18:24.359801Z

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.

source=pdf_text observed=2026-08-16T11:18:23.900018Z digest=sha256:dd30e1b4825bdc59cc618e217a738c0f99636410b0f4085075e359880bf4055d

Observation d9456975-e03d-45e6-bd38-2426ad21b97e · outbound

This paper cites an unresolved cited work.

Quasitubal Tensor Algebra Over Separable Hilbert Spaces Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-16T11:18:24.336615Z

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.

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Observation fe82a483-eb27-4795-9664-790cf6bfee97 · outbound

This paper cites an unresolved cited work.

Quasitubal Tensor Algebra Over Separable Hilbert Spaces Unresolved cited work

Reference 19

Resolution
unresolved
raw_fallback, observed 2026-08-16T11:18:24.293526Z

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.

source=pdf_text observed=2026-08-16T11:18:24.036480Z digest=sha256:82289f6a441973d2fedd7f8fd5bb06e2ce4c7f601b945d89ef7bf71a2ac7cad3

Observation 81e87a37-02df-4b50-ac5e-5ff55c79617d · outbound

This paper cites Congratulations to the 2025 SIAG/CSE Best Paper Prize recipients.

Quasitubal Tensor Algebra Over Separable Hilbert Spaces Congratulations to the 2025 SIAG/CSE Best Paper Prize recipients

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T11:18:24.267839Z

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.

source=pdf_text observed=2026-08-16T11:18:24.041595Z digest=sha256:5035dcd56a5a70caf6f6c0c91c1b6134c7d5fd1d866d5af5c906bd67cc7fa3be

Observation f8f0148e-c81c-4300-8a45-b5eeb2d6ca35 · outbound

This paper cites an unresolved cited work.

Quasitubal Tensor Algebra Over Separable Hilbert Spaces Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-08-16T11:18:24.196096Z

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.

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Observation 4b242bd2-220e-4fdf-a173-74b21013319a · outbound

This paper cites an unresolved cited work.

Quasitubal Tensor Algebra Over Separable Hilbert Spaces Unresolved cited work

Reference 22

Resolution
unresolved
raw_fallback, observed 2026-08-16T11:18:24.180197Z

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.

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Observation fd11ced6-1bd5-42cc-9579-42f5a359d9e4 · outbound

This paper cites an unresolved cited work.

Quasitubal Tensor Algebra Over Separable Hilbert Spaces Unresolved cited work

Reference 23

Resolution
unresolved
raw_fallback, observed 2026-08-16T11:18:24.163204Z

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.

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Observation e2e6903f-4a04-4d78-ac57-03f8049063ce · outbound

This paper cites Virtanen, R.

Quasitubal Tensor Algebra Over Separable Hilbert Spaces Virtanen, R

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T11:18:24.112937Z

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.

source=pdf_text observed=2026-08-16T11:18:24.061917Z digest=sha256:3681c854da77a1238d621b1f00e192ac49fd02c82dd40477351d4058a11289f8

Pith citing papers

Observation f0308ab9-63ba-475a-bb6e-31b45d9e543b · inbound

Matrices over a Hilbert space and their low-rank cross approximation cites this paper.

Matrices over a Hilbert space and their low-rank cross approximation Quasitubal Tensor Algebra Over Separable Hilbert Spaces

Reference 56

Resolution
unresolved
no resolver link, observed 2026-08-15T23:21:24.120504Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T23:21:24.120504Z digest=sha256:1cff1651071d7fca996a3957f6abc0bd652ca3353b3e992537ecfb7742450c3f

Observation 74d404d5-ec5d-4a22-a9c9-bc49acfb2767 · inbound

Copositive Matrices with Ordered Off-Diagonal Entries cites this paper.

Copositive Matrices with Ordered Off-Diagonal Entries Quasitubal Tensor Algebra Over Separable Hilbert Spaces

Reference 211

Resolution
verified exact
arxiv_id, observed 2026-05-20T17:23:36.388343Z

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.

source=arxiv_source observed=2026-05-20T17:20:29.589792Z digest=sha256:b6533be553610aa38e515ce97442b73539a41aad1217b8dc36a9f57ff79dde45

Observation a569c365-13bf-4a0f-9931-cbb1ae78a1e6 · inbound

Exact Symmetry as Algebra: A Machine-Verified Tensor Calculus that Enforces Physical Selection Rules cites this paper.

Exact Symmetry as Algebra: A Machine-Verified Tensor Calculus that Enforces Physical Selection Rules Quasitubal Tensor Algebra Over Separable Hilbert Spaces

Reference 20

Resolution
verified exact
arxiv_id, observed 2026-05-21T07:39:49.304537Z

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.

source=arxiv_source observed=2026-05-21T07:36:10.207003Z digest=sha256:6380b6fce44ae64178ffa000f2ef514f335531f6d689efbe6a3521411e136bea

Observation 27224404-ebb3-4bd1-8b65-c690749875b0 · inbound

Exact Symmetry as Algebra: A Machine-Verified Tensor Calculus that Enforces Physical Selection Rules cites this paper.

Exact Symmetry as Algebra: A Machine-Verified Tensor Calculus that Enforces Physical Selection Rules Quasitubal Tensor Algebra Over Separable Hilbert Spaces

Reference 20

Resolution
unresolved
no resolver link, observed 2026-08-02T13:46:42.953264Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-02T13:46:42.953264Z digest=sha256:c99ee8ada63ea5ae062a496b31cfb870e2d40e6a95bf83a1baea6479d0e5cc73