Paper Citation Record · LEDGER

Time Advance and Probability Conservation in PT-Symmetric Quantum Mechanics

As of 22 August 2026, this Paper Citation Record lists 34 of 34 outbound references and 1 inbound Pith citation observation for arXiv:2504.12068.

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

pith.paper-citation-record.v1
2504.12068 v3

Coverage vector

measured 34 of 34 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-16T12:40:30.635052Z

measured 35 of 35 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-22T06:32:14.747728+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-05-08T12:02:24.174670Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-11T19:26:07.027053Z

Reference resolution

34 of 34 outbound references displayed

verified exact0
verified fuzzy13
unresolved21
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation e7be860a-711b-4b0f-9904-8b8fc85e6b58 · outbound

This paper cites an unresolved cited work.

Time Advance and Probability Conservation in PT-Symmetric Quantum Mechanics Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-16T12:40:31.190412Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation ec24ed56-2215-4908-80e1-b5253b711b6a · outbound

This paper cites Far from resonance both it and the time delay are positive.

Time Advance and Probability Conservation in PT-Symmetric Quantum Mechanics Far from resonance both it and the time delay are positive

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:40:31.133029Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 4e48a725-1400-44d0-b8fb-0c092d74caf0 · outbound

This paper cites an unresolved cited work.

Time Advance and Probability Conservation in PT-Symmetric Quantum Mechanics Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-16T12:40:31.156874Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 736c30b6-99cf-4150-8772-4b402a097cfa · outbound

This paper cites an unresolved cited work.

Time Advance and Probability Conservation in PT-Symmetric Quantum Mechanics Unresolved cited work

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-16T12:40:30.498998Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 078564e0-ad16-4205-bdf2-bc29e21af2cf · outbound

This paper cites an unresolved cited work.

Time Advance and Probability Conservation in PT-Symmetric Quantum Mechanics Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-16T12:40:31.116086Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 71117a0c-11b3-43a1-b20d-4392bc15e813 · outbound

This paper cites an unresolved cited work.

Time Advance and Probability Conservation in PT-Symmetric Quantum Mechanics Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-16T12:40:31.072267Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 7f684f6b-935c-425e-91d3-3f3523e27c72 · outbound

This paper cites an unresolved cited work.

Time Advance and Probability Conservation in PT-Symmetric Quantum Mechanics Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-08-16T12:40:31.089119Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation ee1c8e9f-59c5-41f2-b6ae-04d1c5c527f1 · outbound

This paper cites an unresolved cited work.

Time Advance and Probability Conservation in PT-Symmetric Quantum Mechanics Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-08-16T12:40:31.047818Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation dc0d2b7a-c89c-46d2-b54c-c23fda025da2 · outbound

This paper cites an unresolved cited work.

Time Advance and Probability Conservation in PT-Symmetric Quantum Mechanics Unresolved cited work

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-16T12:40:30.513673Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 06552015-4c90-4bb5-b3a9-02503fa64b02 · outbound

This paper cites an unresolved cited work.

Time Advance and Probability Conservation in PT-Symmetric Quantum Mechanics Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-16T12:40:31.016429Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation f873742c-c002-470b-96d6-2cef75014cdb · outbound

This paper cites an unresolved cited work.

Time Advance and Probability Conservation in PT-Symmetric Quantum Mechanics Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-08-16T12:40:31.033076Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 3fb4cd1e-dc16-48b3-910b-85a4f69def7a · outbound

This paper cites an unresolved cited work.

Time Advance and Probability Conservation in PT-Symmetric Quantum Mechanics Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-16T12:40:30.983396Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation a946496a-f2b6-4bd1-befe-6b04f2d55eb1 · outbound

This paper cites an unresolved cited work.

Time Advance and Probability Conservation in PT-Symmetric Quantum Mechanics Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-08-16T12:40:30.999983Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 6a99c992-1256-40c2-bcfc-dcab7fb9ef8f · outbound

This paper cites an unresolved cited work.

Time Advance and Probability Conservation in PT-Symmetric Quantum Mechanics Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-08-16T12:40:30.951847Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 85b75101-f871-487c-ab2e-b160d49fa1e7 · outbound

This paper cites Bender, A.

Time Advance and Probability Conservation in PT-Symmetric Quantum Mechanics Bender, A

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:40:30.968871Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 3d2dea18-7c08-484c-b6a4-784b9da22154 · outbound

This paper cites an unresolved cited work.

Time Advance and Probability Conservation in PT-Symmetric Quantum Mechanics Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-16T12:40:30.920712Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 04718f1e-ebec-4ebe-a2c3-3d401ef866a5 · outbound

This paper cites El-Ganainy, K.

Time Advance and Probability Conservation in PT-Symmetric Quantum Mechanics El-Ganainy, K

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:40:30.935629Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 467d18c2-999e-48aa-b871-b1d84ca4454a · outbound

This paper cites an unresolved cited work.

Time Advance and Probability Conservation in PT-Symmetric Quantum Mechanics Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-08-16T12:40:30.889897Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation f9254084-1a1d-4835-8023-f3e24afee8e5 · outbound

This paper cites Fring, F.

Time Advance and Probability Conservation in PT-Symmetric Quantum Mechanics Fring, F

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:40:30.905378Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 77613802-dff1-4a29-a3fa-79a12308d66b · outbound

This paper cites However, included in the class of non-Hermitian Hamiltonians are tho se that do not have a complete eigenspectrum, being instead of nondiagonalizable Jordan-block form.

Time Advance and Probability Conservation in PT-Symmetric Quantum Mechanics However, included in the class of non-Hermitian Hamiltonians are tho se that do not have a complete eigenspectrum, being instead of nondiagonalizable Jordan-block form

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:40:30.858886Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 221eedc1-5889-47ba-b332-f58c51d64534 · outbound

This paper cites an unresolved cited work.

Time Advance and Probability Conservation in PT-Symmetric Quantum Mechanics Unresolved cited work

Reference 21

Resolution: unresolved; raw_fallback, observed 2026-08-16T12:40:30.874323Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation d7460865-506d-4465-9175-326806d5424e · outbound

This paper cites an unresolved cited work.

Time Advance and Probability Conservation in PT-Symmetric Quantum Mechanics Unresolved cited work

Reference 22

Resolution: unresolved; raw_fallback, observed 2026-08-16T12:40:30.811200Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 17cb24bd-4d98-4b58-a361-8f924ab2ef77 · outbound

This paper cites an unresolved cited work.

Time Advance and Probability Conservation in PT-Symmetric Quantum Mechanics Unresolved cited work

Reference 23

Resolution: unresolved; raw_fallback, observed 2026-08-16T12:40:30.843703Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 7b4a4b9d-a99f-4824-8dc5-8d8b54177e5c · outbound

This paper cites Thus M (s > 1) is a Hermitian matrix as written in a skew basis rather than an orthogonal one.

Time Advance and Probability Conservation in PT-Symmetric Quantum Mechanics Thus M (s > 1) is a Hermitian matrix as written in a skew basis rather than an orthogonal one

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:40:30.827974Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 19dae053-5f3a-4566-9b5b-13ddb1451bd9 · outbound

This paper cites The solutions to the non- P T-symmetric ( 3.10) are the two stationary wave functions e− iE0t and eiE0t with nondegenerate energies E0 and − E0.

Time Advance and Probability Conservation in PT-Symmetric Quantum Mechanics The solutions to the non- P T-symmetric ( 3.10) are the two stationary wave functions e− iE0t and eiE0t with nondegenerate energies E0 and − E0

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:40:30.765259Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 1de6be0f-6d36-4bb9-bc5d-394fe16e0f1f · outbound

This paper cites (Working with the Dirac inner product Lee and Wick had introduced a pair of complex conjugate energies in order to avoid the real mass relative minus sign problem.

Time Advance and Probability Conservation in PT-Symmetric Quantum Mechanics (Working with the Dirac inner product Lee and Wick had introduced a pair of complex conjugate energies in order to avoid the real mass relative minus sign problem

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:40:30.796796Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 8b77b164-a033-4952-86fb-4f9e60e36e82 · outbound

This paper cites In this latter case the center of a wave pa cket approaching a well (or barrier) travels on the classica l trajectory.

Time Advance and Probability Conservation in PT-Symmetric Quantum Mechanics In this latter case the center of a wave pa cket approaching a well (or barrier) travels on the classica l trajectory

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:40:30.781489Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 34fd16fc-63f0-4e5a-9f7a-0ce58c1938e2 · outbound

This paper cites Sinclair, D.

Time Advance and Probability Conservation in PT-Symmetric Quantum Mechanics Sinclair, D

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:40:30.717793Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 0203f86a-e862-49c5-8dd5-c223946968f3 · outbound

This paper cites 5 Acknowledgments The author wishes to acknowledge helpful discussions with C.

Time Advance and Probability Conservation in PT-Symmetric Quantum Mechanics 5 Acknowledgments The author wishes to acknowledge helpful discussions with C

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:40:31.174392Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation f9896eb3-d1ef-464c-87e1-21d34e414144 · outbound

This paper cites an unresolved cited work.

Time Advance and Probability Conservation in PT-Symmetric Quantum Mechanics Unresolved cited work

Reference 30

Resolution: unresolved; raw_fallback, observed 2026-08-16T12:40:30.748827Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation bdf3f87e-ebae-427b-8795-827d26de3ebb · outbound

This paper cites The excitation of the ∆ ++ is associated with E = E0 + iΓ and its decay 6 with E = E0 − iΓ, with compensating time advance and time delay.

Time Advance and Probability Conservation in PT-Symmetric Quantum Mechanics The excitation of the ∆ ++ is associated with E = E0 + iΓ and its decay 6 with E = E0 − iΓ, with compensating time advance and time delay

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:40:30.732813Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 0ad3eda0-91d1-4d92-9860-ec52cb1fcdd6 · outbound

This paper cites Experimental evidence that a photon can spend a negative amount of time in an atom cloud.

Time Advance and Probability Conservation in PT-Symmetric Quantum Mechanics Experimental evidence that a photon can spend a negative amount of time in an atom cloud

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-16T12:40:30.624367Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 19bbfb02-8c0f-412b-8deb-af9a0b0e8580 · outbound

This paper cites Guo and V.

Time Advance and Probability Conservation in PT-Symmetric Quantum Mechanics Guo and V

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:40:30.702796Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation faf58ab6-195f-4dd6-af98-d55edce311f6 · outbound

This paper cites an unresolved cited work.

Time Advance and Probability Conservation in PT-Symmetric Quantum Mechanics Unresolved cited work

Reference 34

Resolution: unresolved; raw_fallback, observed 2026-08-16T12:40:30.686960Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Pith citing papers

Observation dfe891df-1d49-4a95-9959-796b057c2b7c · inbound

Two flavor neutrino oscillations in presence of non-Hermitian dynamics cites this paper.

Two flavor neutrino oscillations in presence of non-Hermitian dynamics Time Advance and Probability Conservation in PT-Symmetric Quantum Mechanics

Reference 54

Resolution: verified exact; arxiv_id, observed 2026-05-11T19:26:07.029980Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.