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Paper Citation Record · LEDGER

Finite-Element Matrix Product States for Continuum Models in One Dimension

As of 14 August 2026, this Paper Citation Record lists 47 of 47 outbound references and 2 inbound Pith citation observations for arXiv:2606.14873.

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

pith.paper-citation-record.v1
2606.14873 v2

Coverage vector

measured 47 of 47 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-02T11:34:51.112995Z

measured 49 of 49 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-01T15:43:09.364625Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-04T11:39:46.856334Z

Reference resolution

47 of 47 outbound references displayed

  • verified exact1
  • verified fuzzy0
  • unresolved46
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 06bd2610-4170-4c22-acdf-4cb69aa82db8 · outbound

This paper cites trivially isometric.

Finite-Element Matrix Product States for Continuum Models in One Dimension trivially isometric

Reference 1

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source=pdf_text observed=2026-08-02T11:34:46.357085Z digest=sha256:4938639837cc193a8b6405cd3a244c4dbd73c69831b766806bd27ec3cf866ade

Observation 1dc552ee-4917-4869-a0ce-16126ac6d415 · outbound

This paper cites n1 n2 nL , which has a corresponding physical state|Ψ⟩= W (L) |Ψ(L)⟩c.

Finite-Element Matrix Product States for Continuum Models in One Dimension n1 n2 nL , which has a corresponding physical state|Ψ⟩= W (L) |Ψ(L)⟩c

Reference 2

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source=pdf_text observed=2026-08-02T11:34:46.419553Z digest=sha256:f1fa9a2dc7e0fe7264c73bbbdc569641a9240bda3afa67a973d085abc685bb97

Observation deede1b8-40d7-4f0f-bbcf-61b9963ee920 · outbound

This paper cites an unresolved cited work.

Finite-Element Matrix Product States for Continuum Models in One Dimension Unresolved cited work

Reference 3

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source=pdf_text observed=2026-08-02T11:34:46.537181Z digest=sha256:b5f14bd6724f67105893be6d8e117f90978f3ad71a34dc9a80935b0ffce8b037

Observation 55b3134c-5e14-47ee-94f0-f11594ecadf8 · outbound

This paper cites For a grid withL points, we reduce the computational cost fromO(L 3) to O(L2) by precomputing the standard environmentsN (k) L (Eq.

Finite-Element Matrix Product States for Continuum Models in One Dimension For a grid withL points, we reduce the computational cost fromO(L 3) to O(L2) by precomputing the standard environmentsN (k) L (Eq

Reference 4

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source=pdf_text observed=2026-08-02T11:34:46.627150Z digest=sha256:e340b667b3972ed8d56a39e282709e18f4f9c19588945dc77a2e049760c9cc79

Observation a8bfb589-83ba-44f2-8477-11bdd4b84f11 · outbound

This paper cites For the basis defined in Eq.

Finite-Element Matrix Product States for Continuum Models in One Dimension For the basis defined in Eq

Reference 5

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source=pdf_text observed=2026-08-02T11:34:46.724596Z digest=sha256:25f72ed15340dd093861315e00115825e0629d0d6f878f535576a5f521389195

Observation abd6465e-f448-44e5-9949-855da98cc7e7 · outbound

This paper cites an unresolved cited work.

Finite-Element Matrix Product States for Continuum Models in One Dimension Unresolved cited work

Reference 6

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source=pdf_text observed=2026-08-02T11:34:46.843036Z digest=sha256:5d98394cba462ea56b5ae36741d1074e1d65f6ced4f645843c3831b0b1f98c43

Observation b7cd9514-5df7-482a-8fca-dce2597b5a05 · outbound

This paper cites Assuming local homogeneity, the local chem- ical potential is given byµ(x) =µ 0 −V(x).

Finite-Element Matrix Product States for Continuum Models in One Dimension Assuming local homogeneity, the local chem- ical potential is given byµ(x) =µ 0 −V(x)

Reference 7

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source=pdf_text observed=2026-08-02T11:34:46.941166Z digest=sha256:34b544239e2571d1ce764b2684a826fb27e0385506f8be7fc5f12e321a96718f

Observation 10ddbb71-0f2d-4e44-a9e8-989bd354cdaf · outbound

This paper cites an unresolved cited work.

Finite-Element Matrix Product States for Continuum Models in One Dimension Unresolved cited work

Reference 8

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source=pdf_text observed=2026-08-02T11:34:47.025232Z digest=sha256:a4a5b83e4b7027c874d51d0973f683f815290c31f295501a2ec865bab61648b9

Observation 18357c85-ca60-4133-9d0c-4c0c2f25a755 · outbound

This paper cites Since these operators satisfy [ˆbi,ˆa† j] =δ i j, they can be treated numerically as standard operators that satisfy the CCR.

Finite-Element Matrix Product States for Continuum Models in One Dimension Since these operators satisfy [ˆbi,ˆa† j] =δ i j, they can be treated numerically as standard operators that satisfy the CCR

Reference 9

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source=pdf_text observed=2026-08-02T11:34:47.095973Z digest=sha256:a2dc5f5affd3e323bbb490a4965294dda08989e1c8073fb7f3972e91a9be6dea

Observation d05d88f8-b408-4b45-8ec1-9891e305dc34 · outbound

This paper cites Schollw¨ ock, The density-matrix renormalization group in the age of matrix product states, Ann.

Finite-Element Matrix Product States for Continuum Models in One Dimension Schollw¨ ock, The density-matrix renormalization group in the age of matrix product states, Ann

Reference 10

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source=pdf_text observed=2026-08-02T11:34:47.159074Z digest=sha256:eb9864c5a32448db3d0ccfd271333eb71ebc5904952ba8809dffc95b92f719ef

Observation 8c2a23f7-885b-47f6-a719-2eaed0b37985 · outbound

This paper cites Sugihara, Density matrix renormalization group in a two-dimensionalλϕ 4 Hamiltonian lattice model, J.

Finite-Element Matrix Product States for Continuum Models in One Dimension Sugihara, Density matrix renormalization group in a two-dimensionalλϕ 4 Hamiltonian lattice model, J

Reference 11

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source=pdf_text observed=2026-08-02T11:34:47.270252Z digest=sha256:c1f9842a54f09d0e298f1736b87043516c93b25b159cd1e4738bbe3f2daf99b4

Observation efadb36b-d229-4290-9ebe-51cfafa3a5c9 · outbound

This paper cites an unresolved cited work.

Finite-Element Matrix Product States for Continuum Models in One Dimension Unresolved cited work

Reference 12

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source=pdf_text observed=2026-08-02T11:34:47.348126Z digest=sha256:fcc036cb54d1463c3990e57c829c41366202ebdc7cbfa9713d2898b1747f04e1

Observation 1cfb45bb-d197-48bf-8650-b461d0bf9833 · outbound

This paper cites Dolfi, B.

Finite-Element Matrix Product States for Continuum Models in One Dimension Dolfi, B

Reference 13

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source=pdf_text observed=2026-08-02T11:34:47.505682Z digest=sha256:d153d2c39f2553a06e937d46fee5e8eebe162ae2468e5874e4454c517016e714

Observation 5230e288-aa37-4fc8-ba75-a96f48f906aa · outbound

This paper cites Verstraete and J.

Finite-Element Matrix Product States for Continuum Models in One Dimension Verstraete and J

Reference 14

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source=pdf_text observed=2026-08-02T11:34:47.625752Z digest=sha256:fc4683194e279fbdfd6e05a8b3178228a8fa65563050ead3540291d45412d88b

Observation cbdb722b-edcb-4c01-a5a7-9978e179fe4c · outbound

This paper cites Quijandr ´ ıa, J.

Finite-Element Matrix Product States for Continuum Models in One Dimension Quijandr ´ ıa, J

Reference 15

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source=pdf_text observed=2026-08-02T11:34:47.755006Z digest=sha256:5b5200ce4692df25c93ceed51bc5ed4fc91677b275b5426618a3b1cf484024b2

Observation 8fe92635-51df-48aa-93f7-edc219e28595 · outbound

This paper cites an unresolved cited work.

Finite-Element Matrix Product States for Continuum Models in One Dimension Unresolved cited work

Reference 16

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source=pdf_text observed=2026-08-02T11:34:47.871674Z digest=sha256:faa007a0afd7eb0cec011ff7d07deb3598f68b7df43685263e101598c70a20bb

Observation 57136f77-7c9a-4c65-9a54-b28daa958e94 · outbound

This paper cites an unresolved cited work.

Finite-Element Matrix Product States for Continuum Models in One Dimension Unresolved cited work

Reference 17

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source=pdf_text observed=2026-08-02T11:34:48.024447Z digest=sha256:f57e3deb3d2b90c88526b215da01167e1b1cd0776df20b5ce11265acb843b0fe

Observation 8e2fd5c3-55ec-4fcf-ba7e-48972add5a7d · outbound

This paper cites Ganahl, J.

Finite-Element Matrix Product States for Continuum Models in One Dimension Ganahl, J

Reference 18

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source=pdf_text observed=2026-08-02T11:34:48.167590Z digest=sha256:f381083289f080a0d27c5e646ad46fea2e6a486c03d840d279b1e634fec0e68b

Observation fbf7ce2c-4280-46b3-bf4a-11fa775865dd · outbound

This paper cites an unresolved cited work.

Finite-Element Matrix Product States for Continuum Models in One Dimension Unresolved cited work

Reference 19

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source=pdf_text observed=2026-08-02T11:34:48.238135Z digest=sha256:6ac2fb8b729750a1f52c83bb38ec538596dd7791ab4e241fbbd25088d3e2beb0

Observation b6070dd9-4232-4113-8ab5-d9e8392db4b2 · outbound

This paper cites Ganahl and G.

Finite-Element Matrix Product States for Continuum Models in One Dimension Ganahl and G

Reference 20

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source=pdf_text observed=2026-08-02T11:34:48.324919Z digest=sha256:4b191f13e16f451d9068d9e6551dfac805c42e445130e4639cfdb21359f6a221

Observation 0c2d10ad-8df2-41ba-b46e-bee60d4c85c8 · outbound

This paper cites Ganahl, Continuous matrix product states for in- homogeneous quantum field theories: a basis-spline ap- proach (2017).

Finite-Element Matrix Product States for Continuum Models in One Dimension Ganahl, Continuous matrix product states for in- homogeneous quantum field theories: a basis-spline ap- proach (2017)

Reference 21

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source=pdf_text observed=2026-08-02T11:34:48.390016Z digest=sha256:a83a9c14589eb98ee415741df095a0d982612469f5fc630003ab72a1700758b0

Observation 1957279f-be6c-4c02-8292-bc35035270a4 · outbound

This paper cites Tuybens, J.

Finite-Element Matrix Product States for Continuum Models in One Dimension Tuybens, J

Reference 22

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source=pdf_text observed=2026-08-02T11:34:48.453474Z digest=sha256:c704d367f0d360cac46d75498182c5113de2d71fc3342a9eca4a56d2cba20aaa

Observation 11e1a2c9-df6c-4187-a5da-b02e0660ee41 · outbound

This paper cites an unresolved cited work.

Finite-Element Matrix Product States for Continuum Models in One Dimension Unresolved cited work

Reference 23

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source=pdf_text observed=2026-08-02T11:34:48.521978Z digest=sha256:c276e1033e1df026b8befe103e539cc60a0e5229844b8aa35aef3d7f69c4228d

Observation 5816358f-e218-4c69-9654-6760795c192e · outbound

This paper cites Wouters and D.

Finite-Element Matrix Product States for Continuum Models in One Dimension Wouters and D

Reference 24

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source=pdf_text observed=2026-08-02T11:34:48.655544Z digest=sha256:78bc6dd4bf71a682f18b91003f9e7573809983a33d2d5f45287f47ead9ce6626

Observation 1ae23c03-52a2-4520-b1a7-cc22c056e9c7 · outbound

This paper cites an unresolved cited work.

Finite-Element Matrix Product States for Continuum Models in One Dimension Unresolved cited work

Reference 25

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source=pdf_text observed=2026-08-02T11:34:48.799145Z digest=sha256:42593ed5566045fd4076cc7effea6b2022ad113225b3ced73e1109b4fe07a988

Observation ccba39f7-cde5-422f-b0ff-b3505410714e · outbound

This paper cites an unresolved cited work.

Finite-Element Matrix Product States for Continuum Models in One Dimension Unresolved cited work

Reference 26

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source=pdf_text observed=2026-08-02T11:34:48.858541Z digest=sha256:7ef03f9c8e1a416880b8f3cb34bc22376cc6ff21f04d9150f09835b7f286c4b3

Observation 3f91905a-eeb2-4ff7-90c4-44677c01898c · outbound

This paper cites Dutta, A.

Finite-Element Matrix Product States for Continuum Models in One Dimension Dutta, A

Reference 27

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source=pdf_text observed=2026-08-02T11:34:48.949146Z digest=sha256:46759e10192382f3601a36be0b896fe376b3113c466a1d685b9831d303fa0e69

Observation 3ff242a5-a687-46e6-b2d4-30ac37f89393 · outbound

This paper cites Levin, N.

Finite-Element Matrix Product States for Continuum Models in One Dimension Levin, N

Reference 28

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source=pdf_text observed=2026-08-02T11:34:49.109673Z digest=sha256:6c22b0978d49fa027865f73ec3cdb66a5e1a76924cfeab9195fd53eda54c2e42

Observation c9e89d28-157f-4b06-b673-eb2e25852783 · outbound

This paper cites Interacting chiral fermions on the lattice with matrix product operator norms.

Finite-Element Matrix Product States for Continuum Models in One Dimension Interacting chiral fermions on the lattice with matrix product operator norms

Reference 29

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source=pdf_text observed=2026-08-02T11:34:49.258476Z digest=sha256:9e12ddbf0cec4bb5594a21f749c6fa4752e58fb067a898927ded20f1d27ff673

Observation ebb12939-d581-4c90-b0a4-13939f8809c4 · outbound

This paper cites Artacho and L.

Finite-Element Matrix Product States for Continuum Models in One Dimension Artacho and L

Reference 30

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source=pdf_text observed=2026-08-02T11:34:49.484617Z digest=sha256:f4d17e52af7f95f3f5cb80ac4d40bfd53c6c3c3e7249e9ebb4f1136e6757ead0

Observation 2e015115-ad8b-475d-965f-af838320ec25 · outbound

This paper cites an unresolved cited work.

Finite-Element Matrix Product States for Continuum Models in One Dimension Unresolved cited work

Reference 31

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source=pdf_text observed=2026-08-02T11:34:49.599216Z digest=sha256:dcbc593720242c67cc75e272cd601917303b96d7aa9922d741ff735281b6469d

Observation e5fa1c2e-92bc-46c2-9e74-f491b4441bac · outbound

This paper cites an unresolved cited work.

Finite-Element Matrix Product States for Continuum Models in One Dimension Unresolved cited work

Reference 32

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source=pdf_text observed=2026-08-02T11:34:49.739036Z digest=sha256:8e41489e8fa529ecc8b0d62570d81cd4d7aff0390ec4391cc52d9daf3e58317c

Observation c0100b5a-1ded-496a-8f0f-1ec1d09a0f95 · outbound

This paper cites Tan, Energetics of a strongly correlated Fermi gas, Ann.

Finite-Element Matrix Product States for Continuum Models in One Dimension Tan, Energetics of a strongly correlated Fermi gas, Ann

Reference 33

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source=pdf_text observed=2026-08-02T11:34:49.920314Z digest=sha256:bd6dfed9d834fd61c195fb92de3b83feeacfbab28d3b737234073db3a30c4447

Observation cd0e2fe6-6613-455b-a99c-e1cf1c0b2774 · outbound

This paper cites Xu and M.

Finite-Element Matrix Product States for Continuum Models in One Dimension Xu and M

Reference 34

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source=pdf_text observed=2026-08-02T11:34:50.044011Z digest=sha256:a83c33d8c84f4c08b14aaa4fb9bf1c2439ad5be5782ead7cc95b2b5e2690e909

Observation 7f5e3ba8-b4cd-4721-85a8-b4f09bc7d0dc · outbound

This paper cites Bezanson, A.

Finite-Element Matrix Product States for Continuum Models in One Dimension Bezanson, A

Reference 35

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source=pdf_text observed=2026-08-02T11:34:50.137289Z digest=sha256:2df33bdbfc201e74998210dac93767e1b00d10d93102c15547b5981683899f17

Observation dea3ed6b-4cd2-495d-bb75-02dc893c2fc9 · outbound

This paper cites Devos and J.

Finite-Element Matrix Product States for Continuum Models in One Dimension Devos and J

Reference 36

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source=pdf_text observed=2026-08-02T11:34:50.214751Z digest=sha256:90b1a14e8ffa7596db92442f22c48bb9b7735cdb6d223a2b70bb7fb5018537c4

Observation f6c39c74-3bc9-45c8-b612-6a9a5553486b · outbound

This paper cites Devos, M.

Finite-Element Matrix Product States for Continuum Models in One Dimension Devos, M

Reference 37

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source=pdf_text observed=2026-08-02T11:34:50.317277Z digest=sha256:d203bb79cf8c31358d4fcfb3542f5315a4f6e7adf62e8245657a515979d82f39

Observation bbc43c87-6f57-4266-b8ee-7d54f56d5b53 · outbound

This paper cites Haegeman, KrylovKit.jl (2026).

Finite-Element Matrix Product States for Continuum Models in One Dimension Haegeman, KrylovKit.jl (2026)

Reference 38

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source=pdf_text observed=2026-08-02T11:34:50.409085Z digest=sha256:5769dec464943701c01796ff4b87ff68524fcea7e10d6c4605b67d465d003304

Observation 64155f6e-c681-475d-b41e-c26c721c582f · outbound

This paper cites Datseris, J.

Finite-Element Matrix Product States for Continuum Models in One Dimension Datseris, J

Reference 39

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source=pdf_text observed=2026-08-02T11:34:50.497870Z digest=sha256:5506da7e90560751035dcac9e075c53b52a3fdcd4629b1be8518cd297cf1a277

Observation efd0db77-da8e-4902-98a5-38186030b1f4 · outbound

This paper cites Danisch and J.

Finite-Element Matrix Product States for Continuum Models in One Dimension Danisch and J

Reference 40

Resolution
unresolved
no resolver link, observed 2026-08-02T11:34:50.572357Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T11:34:50.572357Z digest=sha256:55b4c43d604e98ed74357d57b7778cd5fa0889616f61ee67a92374ecf8d69137

Observation fb130904-500a-4977-b928-1ea1525f92e0 · outbound

This paper cites Shankar and J.

Finite-Element Matrix Product States for Continuum Models in One Dimension Shankar and J

Reference 41

Resolution
unresolved
no resolver link, observed 2026-08-02T11:34:50.629108Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T11:34:50.629108Z digest=sha256:124684ce513c497fd89faaa694819f016871d7a6ef61016bceed04689a3a36bb

Observation 6a901cd1-032f-4d22-b6f6-478087d730bc · outbound

This paper cites Shankar,TentMPSAnalysis: Simulation scripts demonstratingTentMPS.jl(2026).

Finite-Element Matrix Product States for Continuum Models in One Dimension Shankar,TentMPSAnalysis: Simulation scripts demonstratingTentMPS.jl(2026)

Reference 42

Resolution
unresolved
no resolver link, observed 2026-08-02T11:34:50.706084Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T11:34:50.706084Z digest=sha256:f1afa20fb2d460884b32f8c108db696dc30b78361d26067b93f6fbac0cb38901

Observation eedc6f15-0b6c-4c52-b803-f3684e4a0ed2 · outbound

This paper cites Shankar, K.

Finite-Element Matrix Product States for Continuum Models in One Dimension Shankar, K

Reference 43

Resolution
verified exact
doi, observed 2026-08-02T11:39:11.237330Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-02T11:34:50.785314Z digest=sha256:f0daa59575c8f84b77a1e5c5f1312e13d766732c7969f45f3d23f07f0e0f6ba6

Observation 38ff151f-a3e5-4759-85aa-cfa9c1ade9df · outbound

This paper cites Zvonarev, Notes on Bethe Ansatz, Harvard University (2010).

Finite-Element Matrix Product States for Continuum Models in One Dimension Zvonarev, Notes on Bethe Ansatz, Harvard University (2010)

Reference 44

Resolution
unresolved
no resolver link, observed 2026-08-02T11:34:50.865406Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T11:34:50.865406Z digest=sha256:9a45778d622ac8b00448365231a3c82f925628aa3d82ada1f429516977cdf0be

Observation c0a64256-8dde-4e8a-974e-1a9661c67d0c · outbound

This paper cites Shankar,LiebLinigerBetheAnsatz.jl: Bethe ansatz solution for the Lieb-Liniger model.

Finite-Element Matrix Product States for Continuum Models in One Dimension Shankar,LiebLinigerBetheAnsatz.jl: Bethe ansatz solution for the Lieb-Liniger model

Reference 45

Resolution
unresolved
no resolver link, observed 2026-08-02T11:34:50.921293Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation de6d627c-6cb9-4d22-bf2e-1a81e44a73d2 · outbound

This paper cites an unresolved cited work.

Finite-Element Matrix Product States for Continuum Models in One Dimension Unresolved cited work

Reference 46

Resolution
unresolved
no resolver link, observed 2026-08-02T11:34:51.075284Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T11:34:51.075284Z digest=sha256:6462b7ba6d4deb297df1e15cf3f688960be5530a4797c0b9491e4a8204444bc5

Observation 798ec99f-469d-49cc-96c1-016f2b7311f2 · outbound

This paper cites an unresolved cited work.

Finite-Element Matrix Product States for Continuum Models in One Dimension Unresolved cited work

Reference 47

Resolution
unresolved
no resolver link, observed 2026-08-02T11:34:51.112995Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T11:34:51.112995Z digest=sha256:829feaaa2553933cdb644ac864a37bf036e7abd6b74d9d2cdf97276a0d50760f

Pith citing papers

Observation f4a56c8d-1d80-4f80-a084-3b0f7024331c · inbound

Wavelet Matrix Product States for Quantum Fields cites this paper.

Wavelet Matrix Product States for Quantum Fields Finite-Element Matrix Product States for Continuum Models in One Dimension

Reference 42

Resolution
verified exact
arxiv_id, observed 2026-07-29T02:25:17.269766Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-06-26T07:50:35.413898Z digest=sha256:69d4655a46db9e6ee6eb55bf9fdab7c114a44bb1fc343db109edaeece0184f21

Observation 2ecbb150-8741-4db4-83ae-313b1f569d96 · inbound

Calculus of Robinet: completely positive reconstruction of time-averaged diffusive quantum trajectories cites this paper.

Calculus of Robinet: completely positive reconstruction of time-averaged diffusive quantum trajectories Finite-Element Matrix Product States for Continuum Models in One Dimension

Reference 50

Resolution
unresolved
no resolver link, observed 2026-08-01T15:43:09.364625Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T15:43:09.364625Z digest=sha256:b664a606ec0a77e335e2db7916a31b04ea15aee54b4c9e9635ea155bff74ef2e