Paper Citation Record · LEDGER

Isospectral local Hermitian theory for the $\mathcal{PT}$-symmetric $i\phi^3$ quantum field theory

As of 22 August 2026, this Paper Citation Record lists 39 of 39 outbound references and 1 inbound Pith citation observation for arXiv:2412.10732.

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

pith.paper-citation-record.v1
2412.10732 v1

Coverage vector

measured 39 of 39 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T15:48:03.656511Z

measured 40 of 40 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-02T02:48:59.579276Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

39 of 39 outbound references displayed

verified exact1
verified fuzzy13
unresolved25
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation d95479b2-b815-4545-a842-df7ce5f4cf2c · outbound

This paper cites Bender and S.

Isospectral local Hermitian theory for the $\mathcal{PT}$-symmetric $i\phi^3$ quantum field theory Bender and S

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T15:48:04.321909Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation ea923941-513a-426d-bcfd-06872fe1ddd4 · outbound

This paper cites Mostafazadeh, J.

Isospectral local Hermitian theory for the $\mathcal{PT}$-symmetric $i\phi^3$ quantum field theory Mostafazadeh, J

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-11T15:48:03.457304Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b260714e-3958-4870-8fba-a96ee5997bf1 · outbound

This paper cites Mostafazadeh, J.

Isospectral local Hermitian theory for the $\mathcal{PT}$-symmetric $i\phi^3$ quantum field theory Mostafazadeh, J

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-11T15:48:03.464759Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 141e3419-8aa7-4f84-9b41-fadba5a4e6ba · outbound

This paper cites Mostafazadeh, J.

Isospectral local Hermitian theory for the $\mathcal{PT}$-symmetric $i\phi^3$ quantum field theory Mostafazadeh, J

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-11T15:48:03.469984Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 220e557c-f1ad-4473-b51b-7fc36f9f371c · outbound

This paper cites Mostafazadeh, J.

Isospectral local Hermitian theory for the $\mathcal{PT}$-symmetric $i\phi^3$ quantum field theory Mostafazadeh, J

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T15:48:04.271669Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 66c6cf22-b91b-4d90-a8d8-f9a406693400 · outbound

This paper cites Mostafazadeh, J.

Isospectral local Hermitian theory for the $\mathcal{PT}$-symmetric $i\phi^3$ quantum field theory Mostafazadeh, J

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T15:48:04.255174Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 51ca4c0d-5d66-4669-b174-c6a4a14bfb51 · outbound

This paper cites Mostafazadeh, J.

Isospectral local Hermitian theory for the $\mathcal{PT}$-symmetric $i\phi^3$ quantum field theory Mostafazadeh, J

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T15:48:04.239129Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 18ff6a9a-046d-42ec-bf3c-5d3218134491 · outbound

This paper cites an unresolved cited work.

Isospectral local Hermitian theory for the $\mathcal{PT}$-symmetric $i\phi^3$ quantum field theory Unresolved cited work

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-11T15:48:03.491587Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 79dea1ed-8fc4-4230-9ed3-2538057d876c · outbound

This paper cites an unresolved cited work.

Isospectral local Hermitian theory for the $\mathcal{PT}$-symmetric $i\phi^3$ quantum field theory Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-11T15:48:04.209814Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 9a11f2dc-fb19-4df5-8f1b-8bf48d52d53e · outbound

This paper cites an unresolved cited work.

Isospectral local Hermitian theory for the $\mathcal{PT}$-symmetric $i\phi^3$ quantum field theory Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-11T15:48:04.193370Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation ad2fb906-9e73-441f-9086-00a2e55c391d · outbound

This paper cites an unresolved cited work.

Isospectral local Hermitian theory for the $\mathcal{PT}$-symmetric $i\phi^3$ quantum field theory Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-08-11T15:48:04.176763Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation d74c5efe-322d-4905-be7b-4ba939113907 · outbound

This paper cites an unresolved cited work.

Isospectral local Hermitian theory for the $\mathcal{PT}$-symmetric $i\phi^3$ quantum field theory Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-11T15:48:04.159214Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation c6322669-9184-497e-93c7-e1c5cd743369 · outbound

This paper cites an unresolved cited work.

Isospectral local Hermitian theory for the $\mathcal{PT}$-symmetric $i\phi^3$ quantum field theory Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-08-11T15:48:04.142515Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation fed1a471-5c51-4508-9e1f-3b5018298956 · outbound

This paper cites an unresolved cited work.

Isospectral local Hermitian theory for the $\mathcal{PT}$-symmetric $i\phi^3$ quantum field theory Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-08-11T15:48:04.126489Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 82cb38b9-2619-4ade-9580-708cc134f8c8 · outbound

This paper cites an unresolved cited work.

Isospectral local Hermitian theory for the $\mathcal{PT}$-symmetric $i\phi^3$ quantum field theory Unresolved cited work

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-08-11T15:48:04.110733Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation bce7cd32-539a-4125-a1b0-873c55040f81 · outbound

This paper cites an unresolved cited work.

Isospectral local Hermitian theory for the $\mathcal{PT}$-symmetric $i\phi^3$ quantum field theory Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-11T15:48:04.090247Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation deb6eb20-4f23-4a6d-94d7-1da687659655 · outbound

This paper cites Shalaby and S.

Isospectral local Hermitian theory for the $\mathcal{PT}$-symmetric $i\phi^3$ quantum field theory Shalaby and S

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T15:48:04.073721Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 0cdfe56e-2753-4bcf-a977-96623721d474 · outbound

This paper cites an unresolved cited work.

Isospectral local Hermitian theory for the $\mathcal{PT}$-symmetric $i\phi^3$ quantum field theory Unresolved cited work

Reference 18

Resolution: verified exact; doi, observed 2026-08-11T15:48:03.697241Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 898b0b7d-3963-4dd8-9ba0-bb2400c44466 · outbound

This paper cites an unresolved cited work.

Isospectral local Hermitian theory for the $\mathcal{PT}$-symmetric $i\phi^3$ quantum field theory Unresolved cited work

Reference 19

Resolution: unresolved; raw_fallback, observed 2026-08-11T15:48:04.055057Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 95450f04-b0c3-4015-9621-0002c8349bb3 · outbound

This paper cites Felski, C.

Isospectral local Hermitian theory for the $\mathcal{PT}$-symmetric $i\phi^3$ quantum field theory Felski, C

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T15:48:04.039455Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 0d126f18-9743-40bb-95f9-9d6aba584e5d · outbound

This paper cites an unresolved cited work.

Isospectral local Hermitian theory for the $\mathcal{PT}$-symmetric $i\phi^3$ quantum field theory Unresolved cited work

Reference 21

Resolution: unresolved; raw_fallback, observed 2026-08-11T15:48:04.022786Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation d7b69968-cd99-428e-b2c3-a2af54103d4c · outbound

This paper cites Lawrence, R.

Isospectral local Hermitian theory for the $\mathcal{PT}$-symmetric $i\phi^3$ quantum field theory Lawrence, R

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T15:48:04.005305Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 8c6b3943-9812-4061-8b4b-178a9a55a25d · outbound

This paper cites Romatschke, Phys.

Isospectral local Hermitian theory for the $\mathcal{PT}$-symmetric $i\phi^3$ quantum field theory Romatschke, Phys

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T15:48:03.988065Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 79c17791-ffba-4a1d-b8c3-848373bcedc9 · outbound

This paper cites an unresolved cited work.

Isospectral local Hermitian theory for the $\mathcal{PT}$-symmetric $i\phi^3$ quantum field theory Unresolved cited work

Reference 24

Resolution: unresolved; raw_fallback, observed 2026-08-11T15:48:03.970942Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 6d18e7a1-2c00-4480-8b69-f362b96e62fb · outbound

This paper cites Mostafazadeh, Journal of Physics A: Mathematical and General 38, 6557 (2005).

Isospectral local Hermitian theory for the $\mathcal{PT}$-symmetric $i\phi^3$ quantum field theory Mostafazadeh, Journal of Physics A: Mathematical and General 38, 6557 (2005)

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T15:48:03.954332Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 223a288b-45b7-40d5-920a-6d61405254fb · outbound

This paper cites an unresolved cited work.

Isospectral local Hermitian theory for the $\mathcal{PT}$-symmetric $i\phi^3$ quantum field theory Unresolved cited work

Reference 26

Resolution: unresolved; raw_fallback, observed 2026-08-11T15:48:03.937910Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 91834f78-428a-4013-8239-b44327624078 · outbound

This paper cites an unresolved cited work.

Isospectral local Hermitian theory for the $\mathcal{PT}$-symmetric $i\phi^3$ quantum field theory Unresolved cited work

Reference 27

Resolution: unresolved; raw_fallback, observed 2026-08-11T15:48:03.921769Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation b85c5bbc-fc7c-4f99-b65c-9dc76600a65a · outbound

This paper cites an unresolved cited work.

Isospectral local Hermitian theory for the $\mathcal{PT}$-symmetric $i\phi^3$ quantum field theory Unresolved cited work

Reference 28

Resolution: unresolved; raw_fallback, observed 2026-08-11T15:48:03.905655Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 831ff5e8-1735-4f12-8066-744c01ba94c5 · outbound

This paper cites Siegl and D.

Isospectral local Hermitian theory for the $\mathcal{PT}$-symmetric $i\phi^3$ quantum field theory Siegl and D

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T15:48:03.890048Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 4beede2e-1dd8-41b4-af0c-e3b021309c49 · outbound

This paper cites an unresolved cited work.

Isospectral local Hermitian theory for the $\mathcal{PT}$-symmetric $i\phi^3$ quantum field theory Unresolved cited work

Reference 30

Resolution: unresolved; raw_fallback, observed 2026-08-11T15:48:03.873735Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 3b172cfe-3d55-4711-95ac-4d46caf4839b · outbound

This paper cites an unresolved cited work.

Isospectral local Hermitian theory for the $\mathcal{PT}$-symmetric $i\phi^3$ quantum field theory Unresolved cited work

Reference 31

Resolution: unresolved; raw_fallback, observed 2026-08-11T15:48:03.857004Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 9c1da37d-f736-4a72-9704-0d79e4214349 · outbound

This paper cites an unresolved cited work.

Isospectral local Hermitian theory for the $\mathcal{PT}$-symmetric $i\phi^3$ quantum field theory Unresolved cited work

Reference 32

Resolution: unresolved; raw_fallback, observed 2026-08-11T15:48:03.839190Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 86e71f2f-85d5-4a58-a516-922e3f54beb4 · outbound

This paper cites Dwivedi and B.

Isospectral local Hermitian theory for the $\mathcal{PT}$-symmetric $i\phi^3$ quantum field theory Dwivedi and B

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T15:48:03.821547Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 5d0d4206-8e94-4678-a3f2-c43dfbc3a8ce · outbound

This paper cites an unresolved cited work.

Isospectral local Hermitian theory for the $\mathcal{PT}$-symmetric $i\phi^3$ quantum field theory Unresolved cited work

Reference 34

Resolution: unresolved; raw_fallback, observed 2026-08-11T15:48:03.805122Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 9a90732a-3011-40a4-a909-3eeef2af5100 · outbound

This paper cites an unresolved cited work.

Isospectral local Hermitian theory for the $\mathcal{PT}$-symmetric $i\phi^3$ quantum field theory Unresolved cited work

Reference 35

Resolution: unresolved; raw_fallback, observed 2026-08-11T15:48:03.786066Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 1b51383f-0cf2-4b89-baec-78c93f82e954 · outbound

This paper cites an unresolved cited work.

Isospectral local Hermitian theory for the $\mathcal{PT}$-symmetric $i\phi^3$ quantum field theory Unresolved cited work

Reference 36

Resolution: unresolved; raw_fallback, observed 2026-08-11T15:48:03.767449Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 1ffbf3a7-cf8f-478c-a78f-0e4ece78b345 · outbound

This paper cites Li and Q.

Isospectral local Hermitian theory for the $\mathcal{PT}$-symmetric $i\phi^3$ quantum field theory Li and Q

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T15:48:03.749926Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 484aa3d4-08f0-4930-ac82-2d4a0df7c574 · outbound

This paper cites an unresolved cited work.

Isospectral local Hermitian theory for the $\mathcal{PT}$-symmetric $i\phi^3$ quantum field theory Unresolved cited work

Reference 38

Resolution: unresolved; raw_fallback, observed 2026-08-11T15:48:03.733049Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation a6cff6d7-3db7-4a93-96ae-5a66696a0a03 · outbound

This paper cites Mostafazadeh, Phys.

Isospectral local Hermitian theory for the $\mathcal{PT}$-symmetric $i\phi^3$ quantum field theory Mostafazadeh, Phys

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T15:48:03.716147Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Pith citing papers

Observation 1f8e1c4f-053b-4fee-8064-6baaa08f77d0 · inbound

Non-Hermitian Holographic Flows to Little Rip Cosmologies cites this paper.

Non-Hermitian Holographic Flows to Little Rip Cosmologies Isospectral local Hermitian theory for the $\mathcal{PT}$-symmetric $i\phi^3$ quantum field theory

Reference 56

Resolution: unresolved; no resolver link, observed 2026-08-02T02:48:59.579276Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.