Paper Citation Record · LEDGER

Conditions for Unitarity in Timeless Quantum Theory

As of 12 August 2026, this Paper Citation Record lists 35 of 35 outbound references and 3 inbound Pith citation observations for arXiv:2504.01579.

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

pith.paper-citation-record.v1
2504.01579 v2

Coverage vector

measured 35 of 35 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-22T22:07:39.285787Z

measured 38 of 38 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00

measured 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-05T13:54:10.025614Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-05-22T22:12:11.584543Z

Reference resolution

35 of 35 outbound references displayed

verified exact4
verified fuzzy16
unresolved14
parse uncertain0
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External citation measurements

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Outbound references

Observation 39c687e7-1376-4191-bd6f-a7828b339f7c · outbound

This paper cites Conditions for Unitarity in Timeless Quantum Theory.

Conditions for Unitarity in Timeless Quantum Theory Conditions for Unitarity in Timeless Quantum Theory

Reference 1

Resolution: metadata mismatch; local_arxiv, observed 2026-05-22T22:12:11.586946Z

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Observation 4f75b539-b39a-4c27-8916-2c3c10c0c550 · outbound

This paper cites improper.

Conditions for Unitarity in Timeless Quantum Theory improper

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-05-22T22:12:12.641483Z

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Observation aeb972fc-4394-4051-83b5-76cf8654e524 · outbound

This paper cites an unresolved cited work.

Conditions for Unitarity in Timeless Quantum Theory Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-05-22T22:12:12.614399Z

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Observation 65958ffe-f9f3-44f0-a6bc-20f3b864eb4a · outbound

This paper cites (8) and (9) hold (excluding the patho- logical constraints discussed in Appendix D).

Conditions for Unitarity in Timeless Quantum Theory (8) and (9) hold (excluding the patho- logical constraints discussed in Appendix D)

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-05-22T22:12:12.617939Z

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Observation 315019cd-094f-4068-a3b8-7c0013e35108 · outbound

This paper cites This characterizes the types of Hamiltonians of the Uni- verse that lead to a unitary dynamics from both the mathematical and the interpretational point of view.

Conditions for Unitarity in Timeless Quantum Theory This characterizes the types of Hamiltonians of the Uni- verse that lead to a unitary dynamics from both the mathematical and the interpretational point of view

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-05-22T22:12:12.673747Z

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Observation 97a2cac3-26da-4511-9158-a397fef9387d · outbound

This paper cites an unresolved cited work.

Conditions for Unitarity in Timeless Quantum Theory Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-05-22T22:12:12.676451Z

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Observation 2954fe32-8a1e-4fb8-985f-7e8acfe25015 · outbound

This paper cites an unresolved cited work.

Conditions for Unitarity in Timeless Quantum Theory Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-05-22T22:12:12.682384Z

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Observation 0afd1ca6-5da3-4e0a-b6cc-cdb93ba432d8 · outbound

This paper cites Anderson,The Problem of Time , Fundamental Theo- ries of Physics, Vol.

Conditions for Unitarity in Timeless Quantum Theory Anderson,The Problem of Time , Fundamental Theo- ries of Physics, Vol

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-05-22T22:12:12.696676Z

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Observation b87bfb4b-19e3-4468-950b-bf8280574165 · outbound

This paper cites an unresolved cited work.

Conditions for Unitarity in Timeless Quantum Theory Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-05-22T22:12:12.700182Z

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 32d9ef6c-0944-42e0-8830-212b3866784f · outbound

This paper cites Deutsch, in Quantum concepts in space and time , edited by R.

Conditions for Unitarity in Timeless Quantum Theory Deutsch, in Quantum concepts in space and time , edited by R

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-05-22T22:12:12.631195Z

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Observation 17ad40d0-62f8-4cb7-ba95-50bd30e17c8b · outbound

This paper cites an unresolved cited work.

Conditions for Unitarity in Timeless Quantum Theory Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-05-22T22:12:12.702861Z

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Observation 29e7b0a4-4215-4727-96e2-e45ed6a92e13 · outbound

This paper cites Giovannetti, S.

Conditions for Unitarity in Timeless Quantum Theory Giovannetti, S

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-05-22T22:12:12.634746Z

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Observation 09244406-ae10-4052-bf09-44e227a5a48e · outbound

This paper cites an unresolved cited work.

Conditions for Unitarity in Timeless Quantum Theory Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-05-22T22:12:12.687901Z

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Observation ee5a5dfb-4ca6-4522-bd0d-148f9e122ee5 · outbound

This paper cites an unresolved cited work.

Conditions for Unitarity in Timeless Quantum Theory Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-05-22T22:12:12.690780Z

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation a4968cf6-bc97-4615-a292-ad29fc4de53d · outbound

This paper cites Castro-Ruiz, F.

Conditions for Unitarity in Timeless Quantum Theory Castro-Ruiz, F

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-05-22T22:12:12.685116Z

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 4969d0c2-5dc7-4731-9f64-7c6778bb1a81 · outbound

This paper cites Non-linear equation of motion for Page-Wootters mechanism with interaction and quasi-ideal clocks.

Conditions for Unitarity in Timeless Quantum Theory Non-linear equation of motion for Page-Wootters mechanism with interaction and quasi-ideal clocks

Reference 16

Resolution: verified exact; arxiv_id, observed 2026-05-22T22:12:11.577683Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation d4491d2b-8eab-427d-bc97-68c983ef9637 · outbound

This paper cites Singh and O.

Conditions for Unitarity in Timeless Quantum Theory Singh and O

Reference 17

Resolution: verified exact; arxiv_id, observed 2026-05-22T22:12:11.582389Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 7515b56b-a1a6-4e88-b02e-344fa8a6b6eb · outbound

This paper cites Rijavec, Phys.

Conditions for Unitarity in Timeless Quantum Theory Rijavec, Phys

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-05-22T22:12:12.664582Z

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Observation e1600cd3-c692-4260-afa0-cb224c461d98 · outbound

This paper cites Gemsheim and J.

Conditions for Unitarity in Timeless Quantum Theory Gemsheim and J

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-05-22T22:12:12.659157Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 00e7acbf-e2d3-4152-ac31-e64600b94a36 · outbound

This paper cites Time dilation of quantum clocks in a relativistic gravitational potential.

Conditions for Unitarity in Timeless Quantum Theory Time dilation of quantum clocks in a relativistic gravitational potential

Reference 20

Resolution: verified exact; arxiv_id, observed 2026-05-22T22:12:11.591864Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation d64f14db-6b89-40f9-97a1-7388bd79d4a3 · outbound

This paper cites Measuring time in a timeless universe.

Conditions for Unitarity in Timeless Quantum Theory Measuring time in a timeless universe

Reference 21

Resolution: verified exact; local_arxiv, observed 2026-05-22T22:12:11.596464Z

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 38722452-150c-44d1-b230-ec989ce215c0 · outbound

This paper cites Cafasso, N.

Conditions for Unitarity in Timeless Quantum Theory Cafasso, N

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-05-22T22:12:12.637946Z

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 0fe3dece-44da-43e9-bd33-dac2921428ec · outbound

This paper cites an unresolved cited work.

Conditions for Unitarity in Timeless Quantum Theory Unresolved cited work

Reference 23

Resolution: unresolved; raw_fallback, observed 2026-05-22T22:12:12.655973Z

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 33781004-9791-4513-8bed-068f1e126f28 · outbound

This paper cites an unresolved cited work.

Conditions for Unitarity in Timeless Quantum Theory Unresolved cited work

Reference 24

Resolution: unresolved; raw_fallback, observed 2026-05-22T22:12:12.620735Z

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 95affd02-e6a9-4718-9974-aff56045adbf · outbound

This paper cites Brukner, Y.

Conditions for Unitarity in Timeless Quantum Theory Brukner, Y

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-05-22T22:12:12.652775Z

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation b373dfad-77e7-4584-953f-b7f547697928 · outbound

This paper cites Castro Ruiz, F.

Conditions for Unitarity in Timeless Quantum Theory Castro Ruiz, F

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-05-22T22:12:12.661709Z

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Observation b78beaff-7102-4d1c-9c65-b625a6bdccd6 · outbound

This paper cites an unresolved cited work.

Conditions for Unitarity in Timeless Quantum Theory Unresolved cited work

Reference 27

Resolution: unresolved; raw_fallback, observed 2026-05-22T22:12:12.679521Z

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Observation 9a24bbdf-6d62-4772-b175-a5cc86c0341f · outbound

This paper cites an unresolved cited work.

Conditions for Unitarity in Timeless Quantum Theory Unresolved cited work

Reference 28

Resolution: unresolved; raw_fallback, observed 2026-05-22T22:12:12.693731Z

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Observation e6444941-c850-4c15-a211-a231b0794893 · outbound

This paper cites Everett, Rev.

Conditions for Unitarity in Timeless Quantum Theory Everett, Rev

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-05-22T22:12:12.670408Z

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Observation f662108b-2ced-448f-9caa-8f8fd85f7634 · outbound

This paper cites Kuypers, Proc.

Conditions for Unitarity in Timeless Quantum Theory Kuypers, Proc

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-05-22T22:12:12.646921Z

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Observation 43bcdaef-2dfb-430b-bf59-1872020ba839 · outbound

This paper cites an unresolved cited work.

Conditions for Unitarity in Timeless Quantum Theory Unresolved cited work

Reference 31

Resolution: unresolved; raw_fallback, observed 2026-05-22T22:12:12.644237Z

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Observation b8ebf5f8-46c0-4c35-8531-3380c9c267e0 · outbound

This paper cites an unresolved cited work.

Conditions for Unitarity in Timeless Quantum Theory Unresolved cited work

Reference 32

Resolution: unresolved; raw_fallback, observed 2026-05-22T22:12:12.649561Z

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Observation d46c6693-f495-4a02-9a5e-fa21eb2c92a5 · outbound

This paper cites Hausmann, A.

Conditions for Unitarity in Timeless Quantum Theory Hausmann, A

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-05-22T22:12:12.624079Z

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Observation d9edd35d-ed56-44e1-9a02-f8f3708de058 · outbound

This paper cites an unresolved cited work.

Conditions for Unitarity in Timeless Quantum Theory Unresolved cited work

Reference 34

Resolution: unresolved; raw_fallback, observed 2026-05-22T22:12:12.627718Z

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 12399341-a7b4-4fd5-9a30-873e5b094419 · outbound

This paper cites (F6) Now, consider the followingself-adjoint constraint ˆC ′ := ˆHC − ˆP (0)( ˆTC) ˆHC ˆP (0)( ˆTC) + ˆXR( ˆTC), (F7) where ˆP (0)( ˆTC) = ˆ1U − ˆP (+)( ˆTC).

Conditions for Unitarity in Timeless Quantum Theory (F6) Now, consider the followingself-adjoint constraint ˆC ′ := ˆHC − ˆP (0)( ˆTC) ˆHC ˆP (0)( ˆTC) + ˆXR( ˆTC), (F7) where ˆP (0)( ˆTC) = ˆ1U − ˆP (+)( ˆTC)

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-05-22T22:12:12.667559Z

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Pith citing papers

Observation 39c687e7-1376-4191-bd6f-a7828b339f7c · inbound