Paper Citation Record · LEDGER

Numerical Algebraic Geometry for Energy Computations on Tensor Train Varieties

As of 20 August 2026, this Paper Citation Record lists 46 of 46 outbound references and 3 inbound Pith citation observations for arXiv:2512.06939.

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

pith.paper-citation-record.v1
2512.06939 v2

Coverage vector

measured 46 of 46 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-03T18:06:24.802524Z

measured 49 of 49 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 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-07T20:34:32.470620Z

measured 1 of 1 external citation measurements

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

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

Reference resolution

46 of 46 outbound references displayed

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verified fuzzy0
unresolved45
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External citation measurements

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pith, observed 2026-08-05T02:28:24.338817Z

Outbound references

Observation 851e9885-ef80-47cf-97ee-ec345a8135a3 · outbound

This paper cites Bezanson, A.

Numerical Algebraic Geometry for Energy Computations on Tensor Train Varieties Bezanson, A

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-03T18:06:20.874178Z

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Observation 6c5d6d34-4ff5-4ffd-b69d-dff9ba38c803 · outbound

This paper cites Borovik.Flat degenerations and polynomial system solving in physics and chemistry.

Numerical Algebraic Geometry for Energy Computations on Tensor Train Varieties Borovik.Flat degenerations and polynomial system solving in physics and chemistry

Reference 2

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Observation eb5d5acb-17d8-434e-91ba-4f8339d98296 · outbound

This paper cites Borovik and P.

Numerical Algebraic Geometry for Energy Computations on Tensor Train Varieties Borovik and P

Reference 3

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Observation 143cbd6f-113a-4e85-bbd8-2413fb39000b · outbound

This paper cites Borovik, H.

Numerical Algebraic Geometry for Energy Computations on Tensor Train Varieties Borovik, H

Reference 4

Resolution: malformed identifier; no resolver link, observed 2026-08-03T18:06:21.269001Z

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Observation 1e9fa4d0-33fd-4de9-b80f-b07a39b4674e · outbound

This paper cites Breiding, B.

Numerical Algebraic Geometry for Energy Computations on Tensor Train Varieties Breiding, B

Reference 5

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Observation fda0d244-d257-41db-90e1-418450742584 · outbound

This paper cites Breiding and S.

Numerical Algebraic Geometry for Energy Computations on Tensor Train Varieties Breiding and S

Reference 6

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Observation 40d84ada-e9cc-4eb8-af41-40d5bff8b726 · outbound

This paper cites Buczy´ nska, J.

Numerical Algebraic Geometry for Energy Computations on Tensor Train Varieties Buczy´ nska, J

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-03T18:06:21.710741Z

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Observation 1d20a6ad-1228-4489-a0c9-55fb7ed13a2f · outbound

This paper cites Draisma, E.

Numerical Algebraic Geometry for Energy Computations on Tensor Train Varieties Draisma, E

Reference 8

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Observation 05507d1d-3040-45b2-ae12-7eca769bcc05 · outbound

This paper cites Drineas, M.

Numerical Algebraic Geometry for Energy Computations on Tensor Train Varieties Drineas, M

Reference 9

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Observation 91ccd67e-b87b-48ab-a627-8da285d00c7f · outbound

This paper cites an unresolved cited work.

Numerical Algebraic Geometry for Energy Computations on Tensor Train Varieties Unresolved cited work

Reference 10

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Observation 5b0824a5-8c6b-4174-b966-011155a828b4 · outbound

This paper cites Eisenbud and J.

Numerical Algebraic Geometry for Energy Computations on Tensor Train Varieties Eisenbud and J

Reference 11

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Observation 8db16563-adaa-4249-a42d-78597f07ebf6 · outbound

This paper cites Falc´ o, W.

Numerical Algebraic Geometry for Energy Computations on Tensor Train Varieties Falc´ o, W

Reference 12

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Observation c04b91d6-f84a-4ba4-aa4e-eeafd516b83f · outbound

This paper cites Faulstich and M.

Numerical Algebraic Geometry for Energy Computations on Tensor Train Varieties Faulstich and M

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-03T18:06:22.416865Z

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Observation 8441b9ee-7b95-4464-a5b9-0b10e8958335 · outbound

This paper cites Faulstich, B.

Numerical Algebraic Geometry for Energy Computations on Tensor Train Varieties Faulstich, B

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-03T18:06:22.531814Z

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Observation d1a670a0-2f11-45be-8d03-ca36ca5cf7f6 · outbound

This paper cites Fulton.Intersection theory, volume 2 ofErgebnisse der Mathematik und ihrer Grenzgebiete (3) [Results in Mathematics and Related Areas].

Numerical Algebraic Geometry for Energy Computations on Tensor Train Varieties Fulton.Intersection theory, volume 2 ofErgebnisse der Mathematik und ihrer Grenzgebiete (3) [Results in Mathematics and Related Areas]

Reference 15

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Observation d1344d94-ad4d-4fba-80d3-633ee8b0883d · outbound

This paper cites Garstka, M.

Numerical Algebraic Geometry for Energy Computations on Tensor Train Varieties Garstka, M

Reference 16

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Observation b263c4b3-4334-45ab-9fd9-e17d69ab1ff7 · outbound

This paper cites Grasedyck.

Numerical Algebraic Geometry for Energy Computations on Tensor Train Varieties Grasedyck

Reference 17

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Observation 178b0c09-7fd7-4ab6-9ad0-26d4245d2fb7 · outbound

This paper cites Heinen, M.

Numerical Algebraic Geometry for Energy Computations on Tensor Train Varieties Heinen, M

Reference 18

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Observation e8d47b29-eb07-414b-9111-1cd79ee570e0 · outbound

This paper cites Helgaker, P.

Numerical Algebraic Geometry for Energy Computations on Tensor Train Varieties Helgaker, P

Reference 19

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Observation 20933785-9e02-48db-91b3-8be1a9ef1765 · outbound

This paper cites Holtz, T.

Numerical Algebraic Geometry for Energy Computations on Tensor Train Varieties Holtz, T

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-03T18:06:23.101246Z

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Observation 1630e71b-7ee5-43f4-805d-20d86fe94b1e · outbound

This paper cites Holtz, T.

Numerical Algebraic Geometry for Energy Computations on Tensor Train Varieties Holtz, T

Reference 21

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Observation 9429c10f-42e7-47c0-8593-e5bf08bc5831 · outbound

This paper cites Huh and B.

Numerical Algebraic Geometry for Energy Computations on Tensor Train Varieties Huh and B

Reference 22

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Observation dc5d0828-9d6e-4933-8d29-636416b363bf · outbound

This paper cites an unresolved cited work.

Numerical Algebraic Geometry for Energy Computations on Tensor Train Varieties Unresolved cited work

Reference 23

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Observation b8fcef2e-10f8-4a80-b095-0af0f2c760ca · outbound

This paper cites Kahle, H.

Numerical Algebraic Geometry for Energy Computations on Tensor Train Varieties Kahle, H

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-03T18:06:23.345066Z

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Observation ed669eed-5a78-40da-b70b-5f689e47dc29 · outbound

This paper cites Kayser, A.

Numerical Algebraic Geometry for Energy Computations on Tensor Train Varieties Kayser, A

Reference 25

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Observation 1e65991b-e9d1-4287-88d8-749f0462818a · outbound

This paper cites Krumnow, M.

Numerical Algebraic Geometry for Energy Computations on Tensor Train Varieties Krumnow, M

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-03T18:06:23.449910Z

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Observation abf61bf0-a8c2-4529-9ef7-2dbe6c0cdd4e · outbound

This paper cites an unresolved cited work.

Numerical Algebraic Geometry for Energy Computations on Tensor Train Varieties Unresolved cited work

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-03T18:06:23.490190Z

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Observation c3b35305-802c-4363-ac21-b0c5a7eeb210 · outbound

This paper cites Legat, Chris Coey, Robin Deits, Joey Huchette, and Amelia Perry.

Numerical Algebraic Geometry for Energy Computations on Tensor Train Varieties Legat, Chris Coey, Robin Deits, Joey Huchette, and Amelia Perry

Reference 28

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Observation e40846a8-18fe-4a8d-be37-59b62df9e2c8 · outbound

This paper cites Lin and J.

Numerical Algebraic Geometry for Energy Computations on Tensor Train Varieties Lin and J

Reference 29

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Observation 68892525-727c-4c87-8c04-2dc5b5f1e6f4 · outbound

This paper cites Lubin, O.

Numerical Algebraic Geometry for Energy Computations on Tensor Train Varieties Lubin, O

Reference 30

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Observation b884aa4c-9f08-414e-a838-b763a3b02ef8 · outbound

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Numerical Algebraic Geometry for Energy Computations on Tensor Train Varieties Unresolved cited work

Reference 31

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Observation f624b1e6-6ea0-4415-ba94-71f8549c63df · outbound

This paper cites OSCAR - Open Source Computer Algebra Research system, Version 1.5.0, 2025.

Numerical Algebraic Geometry for Energy Computations on Tensor Train Varieties OSCAR - Open Source Computer Algebra Research system, Version 1.5.0, 2025

Reference 32

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Observation b444b65a-d520-480e-8891-7ad11a002871 · outbound

This paper cites Oseledets.

Numerical Algebraic Geometry for Energy Computations on Tensor Train Varieties Oseledets

Reference 33

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Observation d391dca9-b2b4-465c-8922-662fb1c06c01 · outbound

This paper cites Oseledets and E.

Numerical Algebraic Geometry for Energy Computations on Tensor Train Varieties Oseledets and E

Reference 34

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Observation f8a33609-d889-417b-96e2-775b335f8f03 · outbound

This paper cites Ranestad.

Numerical Algebraic Geometry for Energy Computations on Tensor Train Varieties Ranestad

Reference 35

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Observation f820882d-57c8-4bc6-9dde-c175478bae1e · outbound

This paper cites Restuccia and G.

Numerical Algebraic Geometry for Energy Computations on Tensor Train Varieties Restuccia and G

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-03T18:06:24.038330Z

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Observation b429a6a5-b651-424f-9a6a-47b531c7f3e6 · outbound

This paper cites Salizzoni, L.

Numerical Algebraic Geometry for Energy Computations on Tensor Train Varieties Salizzoni, L

Reference 37

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Observation a45b7a6f-b269-4634-82f4-9ad913db25a0 · outbound

This paper cites Salizzoni, L.

Numerical Algebraic Geometry for Energy Computations on Tensor Train Varieties Salizzoni, L

Reference 38

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Observation 49e3799e-6326-4dc0-af38-b60ebfa347a7 · outbound

This paper cites Schollw¨ ock.

Numerical Algebraic Geometry for Energy Computations on Tensor Train Varieties Schollw¨ ock

Reference 39

Resolution: unresolved; no resolver link, observed 2026-08-03T18:06:24.226297Z

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Observation c4c0419a-188c-472c-807d-5d6b1fffffd0 · outbound

This paper cites an unresolved cited work.

Numerical Algebraic Geometry for Energy Computations on Tensor Train Varieties Unresolved cited work

Reference 40

Resolution: unresolved; no resolver link, observed 2026-08-03T18:06:24.275912Z

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Observation 828099f5-9896-474d-9139-04d6c0085aee · outbound

This paper cites Minimality of Tree Tensor Network Ranks.

Numerical Algebraic Geometry for Energy Computations on Tensor Train Varieties Minimality of Tree Tensor Network Ranks

Reference 41

Resolution: unresolved; no resolver link, observed 2026-08-03T18:06:24.322685Z

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Observation 679fde95-163e-4596-8338-4862a9a4a2f5 · outbound

This paper cites an unresolved cited work.

Numerical Algebraic Geometry for Energy Computations on Tensor Train Varieties Unresolved cited work

Reference 42

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Observation 2728779f-abb7-4f2d-92fb-ceb82cf7efd1 · outbound

This paper cites Szalay, Max Pfeffer, Valentin Murg, Gergely Barcza, Frank Verstraete, Reinhold Schneider, and ¨Ors Legeza.

Numerical Algebraic Geometry for Energy Computations on Tensor Train Varieties Szalay, Max Pfeffer, Valentin Murg, Gergely Barcza, Frank Verstraete, Reinhold Schneider, and ¨Ors Legeza

Reference 43

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Observation ef346323-f52e-4a9e-aac7-1d4f4634afda · outbound

This paper cites an unresolved cited work.

Numerical Algebraic Geometry for Energy Computations on Tensor Train Varieties Unresolved cited work

Reference 44

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Observation 318ff5d7-0fbd-4dd0-be9e-d8f8e3cc9ed4 · outbound

This paper cites Tyrtyshnikov.

Numerical Algebraic Geometry for Energy Computations on Tensor Train Varieties Tyrtyshnikov

Reference 45

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Observation 58d06e5f-6887-4dcd-90be-cf6a2ea2b0e7 · outbound

This paper cites an unresolved cited work.

Numerical Algebraic Geometry for Energy Computations on Tensor Train Varieties Unresolved cited work

Reference 46

Resolution: unresolved; no resolver link, observed 2026-08-03T18:06:24.802524Z

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Pith citing papers

Observation 54b532f3-05a0-4f1f-a3e4-86b4cb849cbd · inbound

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

Copositive Matrices with Ordered Off-Diagonal Entries Numerical Algebraic Geometry for Energy Computations on Tensor Train Varieties

Reference 24

Resolution: verified exact; arxiv_id, observed 2026-06-19T17:11:31.466213Z

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

Observation f544a6e7-edbc-4cf1-81b4-6ed89ff1c156 · inbound

Algebraic Networks and Architectural Degenerations cites this paper.

Algebraic Networks and Architectural Degenerations Numerical Algebraic Geometry for Energy Computations on Tensor Train Varieties

Reference 5

Resolution: verified exact; local_arxiv, observed 2026-07-03T23:29:02.711160Z

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

Observation 3ad5ed4a-bdfc-4727-8ec3-a1b667c3d97d · inbound

Excitation spectra and rank tomography of linear matrix product tangent spaces cites this paper.

Excitation spectra and rank tomography of linear matrix product tangent spaces Numerical Algebraic Geometry for Energy Computations on Tensor Train Varieties

Reference 14

Resolution: verified exact; local_arxiv, observed 2026-07-07T20:44:09.122312Z

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