Paper Citation Record · LEDGER

A Time-Symmetric Variational Reformulation of Nonrelativistic Quantum Mechanics

As of 8 August 2026, this Paper Citation Record lists 21 of 21 outbound references and 0 inbound Pith citation observations for arXiv:2512.22320.

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

pith.paper-citation-record.v1
2512.22320 v6

Coverage vector

measured 21 of 21 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-03T13:59:50.198080Z

measured 21 of 21 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+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

21 of 21 outbound references displayed

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unresolved21
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External citation measurements

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Outbound references

Observation e864b9cc-6499-443b-b1d4-4c3c3e88e6d7 · outbound

This paper cites an unresolved cited work.

A Time-Symmetric Variational Reformulation of Nonrelativistic Quantum Mechanics Unresolved cited work

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-03T13:59:47.972417Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 048afc66-3d40-4ce2-b2db-456de126144a · outbound

This paper cites We requireδ S ˜A= 0: Z tf t0 Z Ω δS(∂ tρ+∇ ·j)d3x dt= 0.(A3) SinceδSis arbitrary, this enforces theContinuity Equation: ∂tρ+∇ ·j= 0.(A4).

A Time-Symmetric Variational Reformulation of Nonrelativistic Quantum Mechanics We requireδ S ˜A= 0: Z tf t0 Z Ω δS(∂ tρ+∇ ·j)d3x dt= 0.(A3) SinceδSis arbitrary, this enforces theContinuity Equation: ∂tρ+∇ ·j= 0.(A4)

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-03T13:59:48.078192Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9adc9062-8333-4e57-97e3-a2c0b4d4e389 · outbound

This paper cites an unresolved cited work.

A Time-Symmetric Variational Reformulation of Nonrelativistic Quantum Mechanics Unresolved cited work

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-03T13:59:48.227656Z

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Observation bf9d7c5a-c910-47a8-a374-7307a27334b3 · outbound

This paper cites an unresolved cited work.

A Time-Symmetric Variational Reformulation of Nonrelativistic Quantum Mechanics Unresolved cited work

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-03T13:59:48.389615Z

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Observation 869b1d45-da54-443e-ab9c-3c2aa11cd04b · outbound

This paper cites We compute the time evolution ofψusing the optimality conditions (A4) and (A19).

A Time-Symmetric Variational Reformulation of Nonrelativistic Quantum Mechanics We compute the time evolution ofψusing the optimality conditions (A4) and (A19)

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-03T13:59:48.474990Z

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Observation 7e41ed98-8181-4c0f-ac6f-e1477b3f7603 · outbound

This paper cites Bohm, ”A Suggested Interpretation of the Quantum Theory in Terms of ’Hidden’ Variables,” Phys.

A Time-Symmetric Variational Reformulation of Nonrelativistic Quantum Mechanics Bohm, ”A Suggested Interpretation of the Quantum Theory in Terms of ’Hidden’ Variables,” Phys

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-03T13:59:48.577197Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 11a29114-fdcb-4962-a286-5339e0f07d2d · outbound

This paper cites Hydrodynamical formulation of quantum mechanics, Kahler structure, and Fisher information.

A Time-Symmetric Variational Reformulation of Nonrelativistic Quantum Mechanics Hydrodynamical formulation of quantum mechanics, Kahler structure, and Fisher information

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-03T13:59:48.633923Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 340f4931-9329-4e28-91be-f085b638c763 · outbound

This paper cites An Information-Theoretic Link Between Spacetime Symmetries and Quantum Linear- ity,.

A Time-Symmetric Variational Reformulation of Nonrelativistic Quantum Mechanics An Information-Theoretic Link Between Spacetime Symmetries and Quantum Linear- ity,

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-03T13:59:48.796073Z

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Observation adbb68bc-b1a2-4b99-bebd-d3284349d7be · outbound

This paper cites Aharonov, P.

A Time-Symmetric Variational Reformulation of Nonrelativistic Quantum Mechanics Aharonov, P

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-03T13:59:48.879915Z

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Observation d4372a31-ac18-4c8f-927d-ded1162b82f7 · outbound

This paper cites Time-symmetric boundary conditions and quantum foundations.

A Time-Symmetric Variational Reformulation of Nonrelativistic Quantum Mechanics Time-symmetric boundary conditions and quantum foundations

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-03T13:59:48.966399Z

Source-reported events for the cited work

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Observation 8ef8a87c-7557-40de-a951-9064419c48a8 · outbound

This paper cites Entanglement and the Path Integral.

A Time-Symmetric Variational Reformulation of Nonrelativistic Quantum Mechanics Entanglement and the Path Integral

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-03T13:59:49.080624Z

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Observation 2b51506e-6d55-4f3f-9d14-c25ebb133e57 · outbound

This paper cites Sparse domination of Hilbert transforms along curves.

A Time-Symmetric Variational Reformulation of Nonrelativistic Quantum Mechanics Sparse domination of Hilbert transforms along curves

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-03T13:59:49.202462Z

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Unavailable: canonical work link unavailable.

Observation 1c8cc964-04f7-44a9-861c-aeb58c10500d · outbound

This paper cites Lagrangian Description for Particle Interpretations of Quantum Mechanics -- Entangled Many-Particle Case.

A Time-Symmetric Variational Reformulation of Nonrelativistic Quantum Mechanics Lagrangian Description for Particle Interpretations of Quantum Mechanics -- Entangled Many-Particle Case

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-03T13:59:49.325222Z

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Observation 115fa4df-982a-4b9e-870f-b4324132eb9f · outbound

This paper cites Time and event symmetry in quantum mechanics.

A Time-Symmetric Variational Reformulation of Nonrelativistic Quantum Mechanics Time and event symmetry in quantum mechanics

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-03T13:59:49.394273Z

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Observation c9d1fa0f-705e-4301-97e4-69bf2bb68401 · outbound

This paper cites Relativistic QFT from a Bohmian perspective: A proof of concept.

A Time-Symmetric Variational Reformulation of Nonrelativistic Quantum Mechanics Relativistic QFT from a Bohmian perspective: A proof of concept

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-03T13:59:49.460496Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a6ce51b8-6852-48dd-a824-9f921ec2a50c · outbound

This paper cites Nelson, ”Derivation of the Schr¨ odinger Equation from Newtonian Mechanics,” Phys.

A Time-Symmetric Variational Reformulation of Nonrelativistic Quantum Mechanics Nelson, ”Derivation of the Schr¨ odinger Equation from Newtonian Mechanics,” Phys

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-03T13:59:49.547201Z

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Unavailable: canonical work link unavailable.

Observation 55812c75-4822-4ce2-8fe4-5dc2c8f7edd7 · outbound

This paper cites an unresolved cited work.

A Time-Symmetric Variational Reformulation of Nonrelativistic Quantum Mechanics Unresolved cited work

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-03T13:59:49.635928Z

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Observation b94a085b-409c-46dd-a998-b89102eee5a9 · outbound

This paper cites Caticha,Entropic Inference and the Foundations of Physics(USP, S˜ ao Paulo, 2011).

A Time-Symmetric Variational Reformulation of Nonrelativistic Quantum Mechanics Caticha,Entropic Inference and the Foundations of Physics(USP, S˜ ao Paulo, 2011)

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-03T13:59:49.817799Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a925fb1c-63f9-4064-b8a2-b0e1bb7fa344 · outbound

This paper cites Entropic Dynamics and Quantum "Measurement".

A Time-Symmetric Variational Reformulation of Nonrelativistic Quantum Mechanics Entropic Dynamics and Quantum "Measurement"

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-03T13:59:49.960043Z

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Unavailable: canonical work link unavailable.

Observation 64483d94-3ca1-47b4-8045-d6ee1a40c6ff · outbound

This paper cites Landsman, ”Randomness? What randomness?”, Foundations of Physics (2020).

A Time-Symmetric Variational Reformulation of Nonrelativistic Quantum Mechanics Landsman, ”Randomness? What randomness?”, Foundations of Physics (2020)

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-03T13:59:50.079483Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7ef66d2e-38d6-412c-a997-10ec2b92316b · outbound

This paper cites Landsman, ”Bohmian Mechanics is Not Deterministic,” Foundations of Physics52, 73 (2022).

A Time-Symmetric Variational Reformulation of Nonrelativistic Quantum Mechanics Landsman, ”Bohmian Mechanics is Not Deterministic,” Foundations of Physics52, 73 (2022)

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-03T13:59:50.198080Z

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Pith citing papers

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