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Paper Citation Record · LEDGER

Quantum-Accelerated Solution of Nonlinear Equations from Variational Principles

As of 16 August 2026, this Paper Citation Record lists 50 of 50 outbound references and 0 inbound Pith citation observations for arXiv:2508.17606.

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

pith.paper-citation-record.v1
2508.17606 v2

Coverage vector

measured 50 of 50 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T17:09:29.538291Z

measured 50 of 50 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+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

50 of 50 outbound references displayed

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  • verified fuzzy22
  • unresolved27
  • parse uncertain0
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External citation measurements

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Outbound references

Observation bee96ae6-86f2-4719-b585-60e9e6e79e1a · outbound

This paper cites an unresolved cited work.

Quantum-Accelerated Solution of Nonlinear Equations from Variational Principles Unresolved cited work

Reference 1

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Unavailable: canonical work link unavailable.

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Observation b5a7a6bd-502b-42ad-9623-3328506ad090 · outbound

This paper cites an unresolved cited work.

Quantum-Accelerated Solution of Nonlinear Equations from Variational Principles Unresolved cited work

Reference 2

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Observation e0456ed7-7095-44a4-b826-5802d87a7b86 · outbound

This paper cites Hilbert, Die grundlagen der physik.

Quantum-Accelerated Solution of Nonlinear Equations from Variational Principles Hilbert, Die grundlagen der physik

Reference 3

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Observation 0e2b7f6a-569b-4ab5-86a2-174db5a81ff4 · outbound

This paper cites Noether, Invariante variationsprobleme, in Gesam- melte Abhandlungen-Collected Papers (Springer, 1983) pp.

Quantum-Accelerated Solution of Nonlinear Equations from Variational Principles Noether, Invariante variationsprobleme, in Gesam- melte Abhandlungen-Collected Papers (Springer, 1983) pp

Reference 4

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Observation e3e01ea8-0ce0-4c4d-b812-3fe4c293f7b9 · outbound

This paper cites Washizu, Variational Methods in Elasticity and Plas- ticity.

Quantum-Accelerated Solution of Nonlinear Equations from Variational Principles Washizu, Variational Methods in Elasticity and Plas- ticity

Reference 5

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Observation b6824ff0-e8a3-4736-9003-c7a223c907ec · outbound

This paper cites an unresolved cited work.

Quantum-Accelerated Solution of Nonlinear Equations from Variational Principles Unresolved cited work

Reference 6

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 159068f0-c79e-4de6-b5bc-e12c2ecd2043 · outbound

This paper cites an unresolved cited work.

Quantum-Accelerated Solution of Nonlinear Equations from Variational Principles Unresolved cited work

Reference 7

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T17:09:29.381970Z digest=sha256:7be9bf99b2fcb2d6a6a6b1ff8535e7580bb4ec65dfacdb13b3e551189b74efb6

Observation 2d50ed97-7375-45cd-afc5-6b95a23569ff · outbound

This paper cites Landau, E.

Quantum-Accelerated Solution of Nonlinear Equations from Variational Principles Landau, E

Reference 8

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source=pdf_text observed=2026-08-15T17:09:29.385338Z digest=sha256:228028c1ee3a59856878be9ac5d600b323e6de82f12611aec8190411ee1f4490

Observation 98044c35-7e79-44b1-9c0d-9b7911241f0f · outbound

This paper cites Tadmor, A review of numerical methods for nonlinear partial differential equations, Bulletin of the American Mathematical Society 49, 507 (2012).

Quantum-Accelerated Solution of Nonlinear Equations from Variational Principles Tadmor, A review of numerical methods for nonlinear partial differential equations, Bulletin of the American Mathematical Society 49, 507 (2012)

Reference 9

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Observation 5c2bb4a6-245f-4b41-829e-58cdc263b47f · outbound

This paper cites an unresolved cited work.

Quantum-Accelerated Solution of Nonlinear Equations from Variational Principles Unresolved cited work

Reference 10

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Observation 474d842c-3bf9-431c-937d-2fe920f02282 · outbound

This paper cites De, Uncertainty quantification of locally nonlinear dy- namical systems using neural networks, Journal of Com- puting in Civil Engineering 35, 04021009 (2021).

Quantum-Accelerated Solution of Nonlinear Equations from Variational Principles De, Uncertainty quantification of locally nonlinear dy- namical systems using neural networks, Journal of Com- puting in Civil Engineering 35, 04021009 (2021)

Reference 11

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Observation 1a853ec2-046d-421f-9936-a034d951598d · outbound

This paper cites an unresolved cited work.

Quantum-Accelerated Solution of Nonlinear Equations from Variational Principles Unresolved cited work

Reference 12

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Unavailable: canonical work link unavailable.

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Observation 9a264ddf-2dd3-4fe7-9fb9-6b30fb6cb402 · outbound

This paper cites an unresolved cited work.

Quantum-Accelerated Solution of Nonlinear Equations from Variational Principles Unresolved cited work

Reference 13

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source=pdf_text observed=2026-08-15T17:09:29.402285Z digest=sha256:058475e7144cbf51bbe87becadea634ca56ec235020dec0b25e8697944dd8992

Observation 6387effc-1dfb-4cdf-9fd7-6f4eccd6b45e · outbound

This paper cites Linden, A.

Quantum-Accelerated Solution of Nonlinear Equations from Variational Principles Linden, A

Reference 14

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Observation ed5781e3-56b9-44fc-9902-93602d064a0a · outbound

This paper cites an unresolved cited work.

Quantum-Accelerated Solution of Nonlinear Equations from Variational Principles Unresolved cited work

Reference 15

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation e533ffb3-a639-4d2b-b68f-73423d85a648 · outbound

This paper cites an unresolved cited work.

Quantum-Accelerated Solution of Nonlinear Equations from Variational Principles Unresolved cited work

Reference 16

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 5b251db6-c4df-43a4-84ec-d8d2ca596133 · outbound

This paper cites Gily´ en, Y.

Quantum-Accelerated Solution of Nonlinear Equations from Variational Principles Gily´ en, Y

Reference 17

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Observation d6c1263b-e457-4586-967e-6dff61f7ea07 · outbound

This paper cites an unresolved cited work.

Quantum-Accelerated Solution of Nonlinear Equations from Variational Principles Unresolved cited work

Reference 18

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source=pdf_text observed=2026-08-15T17:09:29.420088Z digest=sha256:97c1f0a3e6fc56d818eb5594054644781e0baa45c4fd4333c5150dc4881373f2

Observation 8a8a5fda-e423-4849-89a1-5f658009950d · outbound

This paper cites Suba¸ sı, R.

Quantum-Accelerated Solution of Nonlinear Equations from Variational Principles Suba¸ sı, R

Reference 19

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Observation 7ea5d326-a890-4e46-96d9-4545cbf44148 · outbound

This paper cites Montanaro and S.

Quantum-Accelerated Solution of Nonlinear Equations from Variational Principles Montanaro and S

Reference 20

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Observation 8f034fad-64a4-4627-8175-75fbc7e79ea0 · outbound

This paper cites Sinha and P.

Quantum-Accelerated Solution of Nonlinear Equations from Variational Principles Sinha and P

Reference 21

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Observation 69ac9f36-cc21-400f-ba21-c0dee00c712e · outbound

This paper cites an unresolved cited work.

Quantum-Accelerated Solution of Nonlinear Equations from Variational Principles Unresolved cited work

Reference 22

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Observation e1f37ca2-59bc-4d22-a307-6b00f4cf05a0 · outbound

This paper cites an unresolved cited work.

Quantum-Accelerated Solution of Nonlinear Equations from Variational Principles Unresolved cited work

Reference 23

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Observation 3ecac800-18ca-4483-a8c6-2e71bc795140 · outbound

This paper cites an unresolved cited work.

Quantum-Accelerated Solution of Nonlinear Equations from Variational Principles Unresolved cited work

Reference 24

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source=pdf_text observed=2026-08-15T17:09:29.440172Z digest=sha256:25b10570ff04860371181ec656d5da7938442ae95c6a2d319a0d27ab60ecaf4a

Observation b50f8dc0-c611-424e-b58d-742d6bccce5b · outbound

This paper cites Engel, G.

Quantum-Accelerated Solution of Nonlinear Equations from Variational Principles Engel, G

Reference 25

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Observation 1930f1dd-9ca1-4201-8369-23450598bee4 · outbound

This paper cites Novikau, E.

Quantum-Accelerated Solution of Nonlinear Equations from Variational Principles Novikau, E

Reference 26

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Observation 3ca69ce6-78b9-4499-bd3d-147a5ad1eb42 · outbound

This paper cites Miyamoto, S.

Quantum-Accelerated Solution of Nonlinear Equations from Variational Principles Miyamoto, S

Reference 27

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Observation e3ac5033-0c22-4151-93e8-279ac1b808d4 · outbound

This paper cites an unresolved cited work.

Quantum-Accelerated Solution of Nonlinear Equations from Variational Principles Unresolved cited work

Reference 28

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Observation 0e1d9f7f-09f7-45a6-bd86-a757f632344a · outbound

This paper cites Babbush, D.

Quantum-Accelerated Solution of Nonlinear Equations from Variational Principles Babbush, D

Reference 29

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Observation 0b3d8e35-0323-45e5-8840-8f835d41c1df · outbound

This paper cites Gonzalez-Conde, ´A.

Quantum-Accelerated Solution of Nonlinear Equations from Variational Principles Gonzalez-Conde, ´A

Reference 30

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Observation 6bf28d4e-a65f-4b0b-9d1c-13ed0f1f8847 · outbound

This paper cites Quantum simulation of partial differential equations via Schrodingerisation: technical details.

Quantum-Accelerated Solution of Nonlinear Equations from Variational Principles Quantum simulation of partial differential equations via Schrodingerisation: technical details

Reference 31

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T17:09:29.464121Z digest=sha256:011b1ed8985b02c5ba99d4d439dcf8aa1757b47a5f99940e7fda369a40913762

Observation 3e650401-55d3-40f2-a32b-cddc69162ea3 · outbound

This paper cites An, J.-P.

Quantum-Accelerated Solution of Nonlinear Equations from Variational Principles An, J.-P

Reference 32

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source=pdf_text observed=2026-08-15T17:09:29.467955Z digest=sha256:42e6bf86e8a323626099a28bcf8e4f5c7df130582986c19b6ea87cc80d684cc8

Observation 45f4194d-1f83-4018-a62d-4329e49f4b8a · outbound

This paper cites an unresolved cited work.

Quantum-Accelerated Solution of Nonlinear Equations from Variational Principles Unresolved cited work

Reference 33

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T17:09:29.471599Z digest=sha256:2d763c234c446d4a91d95ade6c9e38ae60013847f0b87b46313f9e83a26c7b52

Observation 5685c6ba-01be-44b1-955c-9441019f7312 · outbound

This paper cites an unresolved cited work.

Quantum-Accelerated Solution of Nonlinear Equations from Variational Principles Unresolved cited work

Reference 34

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 1552afa1-1320-4880-83b7-d06bd3d9c94d · outbound

This paper cites Engel, G.

Quantum-Accelerated Solution of Nonlinear Equations from Variational Principles Engel, G

Reference 35

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation d65cfdbd-052c-4b11-855d-fe2d32ac8873 · outbound

This paper cites an unresolved cited work.

Quantum-Accelerated Solution of Nonlinear Equations from Variational Principles Unresolved cited work

Reference 36

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T17:09:29.482478Z digest=sha256:6e435d47c900abaa2d28351d5efe2a2bb85d75fda8e197631ef5e724b3a7f098

Observation c86c185b-5bca-45b9-ac99-4ec57ceeb25b · outbound

This paper cites Further improving quantum algorithms for nonlinear differential equations via higher-order methods and rescaling.

Quantum-Accelerated Solution of Nonlinear Equations from Variational Principles Further improving quantum algorithms for nonlinear differential equations via higher-order methods and rescaling

Reference 37

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T17:09:29.486260Z digest=sha256:6061eac55e8a96bf3b6dbb56dbd29573884463c5d5310debb40cd32f1de9f390

Observation 6c522e89-d12f-4390-aca3-27b866adcdff · outbound

This paper cites Joseph, Koopman–von neumann approach to quantum simulation of nonlinear classical dynamics, Physical Re- view Research 2, 043102 (2020).

Quantum-Accelerated Solution of Nonlinear Equations from Variational Principles Joseph, Koopman–von neumann approach to quantum simulation of nonlinear classical dynamics, Physical Re- view Research 2, 043102 (2020)

Reference 38

Resolution
unresolved
no resolver link, observed 2026-08-15T17:09:29.490607Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T17:09:29.490607Z digest=sha256:9278079b7aad52c6c1f823f32f726dd32d9e585baf8029b9e968e1381b717fdc

Observation a51c675d-7958-4313-b1b4-934ccefae8e8 · outbound

This paper cites an unresolved cited work.

Quantum-Accelerated Solution of Nonlinear Equations from Variational Principles Unresolved cited work

Reference 39

Resolution
unresolved
no resolver link, observed 2026-08-15T17:09:29.494289Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T17:09:29.494289Z digest=sha256:73df406e4756f12af0754723a31966f0afe63cdcb1c7290aa1f363a58eaa08c7

Observation dff94e25-49a3-4a8e-9b04-8fa2ea8503ea · outbound

This paper cites Krovi, Improved quantum algorithms for linear and nonlinear differential equations, Quantum 7, 913 (2023).

Quantum-Accelerated Solution of Nonlinear Equations from Variational Principles Krovi, Improved quantum algorithms for linear and nonlinear differential equations, Quantum 7, 913 (2023)

Reference 40

Resolution
unresolved
no resolver link, observed 2026-08-15T17:09:29.497669Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T17:09:29.497669Z digest=sha256:9d10f28416a6697b8627ae764993f3cd89fca0574b7ca40c7c114b4575eb8c1c

Observation 23d7006f-a253-411c-9ee5-ddcfe4927535 · outbound

This paper cites Endo and K.

Quantum-Accelerated Solution of Nonlinear Equations from Variational Principles Endo and K

Reference 41

Resolution
unresolved
no resolver link, observed 2026-08-15T17:09:29.505880Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T17:09:29.505880Z digest=sha256:68e388d186c5268433f37f4b9d6dcd5feacfb6b2f9658817c9c02149a2be7539

Observation ea8de68f-45a7-4d50-8407-8e457398d4d0 · outbound

This paper cites Xue, X.-F.

Quantum-Accelerated Solution of Nonlinear Equations from Variational Principles Xue, X.-F

Reference 42

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T17:09:29.888501Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T17:09:29.509168Z digest=sha256:cad7b66ebf9ed82e1e4ca55c3c2f2afb7773347d0987e7e9b6483505c59f17bc

Observation f9bb2352-c70d-4e6a-b894-3f857fa243b4 · outbound

This paper cites an unresolved cited work.

Quantum-Accelerated Solution of Nonlinear Equations from Variational Principles Unresolved cited work

Reference 43

Resolution
verified exact
raw_fallback, observed 2026-08-15T17:09:29.677026Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T17:09:29.512559Z digest=sha256:8d01898b1bd05a218700e6d4dcef22872eba176b50cce95fa227c92488553dee

Observation 8828ebff-157a-4a4f-b7ae-ff10fc38580d · outbound

This paper cites Sanavio, R.

Quantum-Accelerated Solution of Nonlinear Equations from Variational Principles Sanavio, R

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T17:09:29.877276Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T17:09:29.516274Z digest=sha256:e6108dcc606f239aa2c92afeeff37bd3c3059d52027ccc0105dd88f32b072ee8

Observation fa652da2-ccea-4299-bf59-19a302155591 · outbound

This paper cites Itani and S.

Quantum-Accelerated Solution of Nonlinear Equations from Variational Principles Itani and S

Reference 45

Resolution
unresolved
no resolver link, observed 2026-08-15T17:09:29.520108Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T17:09:29.520108Z digest=sha256:295550fab6144570f20bd5f8d38eeadf1100dd7c8af7067d6ba50f2566dc3341

Observation 62ca075e-0c25-4816-8f78-882ee9718a1c · outbound

This paper cites Itani, K.

Quantum-Accelerated Solution of Nonlinear Equations from Variational Principles Itani, K

Reference 46

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T17:09:29.860397Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T17:09:29.523453Z digest=sha256:74f13925c00c8430e73264833cc1a5480cd2c78d7a93a934f7cb0f91a5038880

Observation 8cdaf618-03f7-4c34-afc4-0659ca4315c0 · outbound

This paper cites an unresolved cited work.

Quantum-Accelerated Solution of Nonlinear Equations from Variational Principles Unresolved cited work

Reference 47

Resolution
unresolved
raw_fallback, observed 2026-08-15T17:09:29.849004Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T17:09:29.526822Z digest=sha256:9ae4a2e0f2ce96dac243a527ebd494b00ff8c61ef02dacbc08841bd787358eb1

Observation 11f5dfa9-1a89-4bd1-b294-ffb5c9deeec8 · outbound

This paper cites an unresolved cited work.

Quantum-Accelerated Solution of Nonlinear Equations from Variational Principles Unresolved cited work

Reference 48

Resolution
unresolved
no resolver link, observed 2026-08-15T17:09:29.531197Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T17:09:29.531197Z digest=sha256:e7304b0d77ead11bd4e316346de9eb05bcf8fd37ea63769a8ce4ffc7462647ce

Observation b11b494d-0fb5-447a-9d2a-12f59778dca2 · outbound

This paper cites an unresolved cited work.

Quantum-Accelerated Solution of Nonlinear Equations from Variational Principles Unresolved cited work

Reference 49

Resolution
unresolved
raw_fallback, observed 2026-08-15T17:09:29.832513Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T17:09:29.534684Z digest=sha256:4ef184c304a1c1be87338b32709788dce237b02b172827a6005d81f63cbfb449

Observation 2458cc3f-ccb4-47e1-94ed-c656844e5d3f · outbound

This paper cites (C5) ∥F3∥ =∥aV (ST−I)⊗3− (I−S)⊗3 ∥ = a∥V (ST−I)⊗3− (I−S)⊗3 ∥≤ 2 √ 10a.

Quantum-Accelerated Solution of Nonlinear Equations from Variational Principles (C5) ∥F3∥ =∥aV (ST−I)⊗3− (I−S)⊗3 ∥ = a∥V (ST−I)⊗3− (I−S)⊗3 ∥≤ 2 √ 10a

Reference 50

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T17:09:29.821683Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T17:09:29.538291Z digest=sha256:e252a9ee3b8a6a82024ebddaf0039121556f2b7e2b66427daaaa4c41740ef8d5

Pith citing papers

No inbound Pith citation observations are available.