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Paper Citation Record · LEDGER

Pseudo-Hermiticity versus PT Symmetry: The necessary condition for the reality of the spectrum of a non-Hermitian Hamiltonian

As of 17 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 20 inbound Pith citation observations for arXiv:math-ph/0107001.

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

pith.paper-citation-record.v1
math-ph/0107001 v3

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 20 of 20 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-17T06:30:58.91139+00:00

measured 20 of 20 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-16T11:43:36.379752Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-07-03T16:38:40.373129Z

Reference resolution

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External citation measurements

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Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation f7e93d3d-3852-4a42-9945-b5b49620b774 · inbound

Mobility edges in pseudo-unitary quasiperiodic quantum walks cites this paper.

Mobility edges in pseudo-unitary quasiperiodic quantum walks Pseudo-Hermiticity versus PT Symmetry: The necessary condition for the reality of the spectrum of a non-Hermitian Hamiltonian

Reference 71

Resolution
verified exact
local_arxiv, observed 2026-05-23T08:27:44.238813Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-05-23T08:26:52.512150Z digest=sha256:57411ac7f2f558a7eb7dd15cd472351c3d4cf1cc81062197ca265aba4342947f

Observation 11a7378a-6531-40fe-bbcd-e19d8c377774 · inbound

Wigner multiplets in QFT: from Wigner degeneracy to Elko fields cites this paper.

Wigner multiplets in QFT: from Wigner degeneracy to Elko fields Pseudo-Hermiticity versus PT Symmetry: The necessary condition for the reality of the spectrum of a non-Hermitian Hamiltonian

Reference 63

Resolution
unresolved
no resolver link, observed 2026-08-16T11:43:36.379752Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T11:43:36.379752Z digest=sha256:520db1950a2409ff6a743ec258a8db0fc713cd4d8ab4fe2293e9f99b07df8a8a

Observation 1c5c7d2f-01b0-4e62-a51c-3fce2aa789f5 · inbound

Accelerated cosmological expansion from pseudo-Hermiticity cites this paper.

Accelerated cosmological expansion from pseudo-Hermiticity Pseudo-Hermiticity versus PT Symmetry: The necessary condition for the reality of the spectrum of a non-Hermitian Hamiltonian

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-06T14:53:48.395183Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T14:53:48.395183Z digest=sha256:47d4adc883a3d399b01b3830385cc08cca8e991d5116fa622ad979a7a76e9ca1

Observation 0e96a580-2b11-48bd-92ab-06f15e3a245d · inbound

Template masks for 4D-STEM cites this paper.

Template masks for 4D-STEM Pseudo-Hermiticity versus PT Symmetry: The necessary condition for the reality of the spectrum of a non-Hermitian Hamiltonian

Reference 13

Resolution
unresolved
no resolver link, observed 2026-08-05T22:50:19.630768Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T22:50:19.630768Z digest=sha256:a7c06ee96e6b7b7056882109d09d5072245ec35b8b9926b9ba37887122a76048

Observation 278864f5-5dca-47c0-833c-590b636607dc · inbound

Generalizing quantum dimensions: Symmetry-based classification of local pseudo-Hermitian systems and the corresponding domain walls cites this paper.

Generalizing quantum dimensions: Symmetry-based classification of local pseudo-Hermitian systems and the corresponding domain walls Pseudo-Hermiticity versus PT Symmetry: The necessary condition for the reality of the spectrum of a non-Hermitian Hamiltonian

Reference 16

Resolution
verified exact
local_arxiv, observed 2026-05-17T22:50:25.643586Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-05-17T22:50:14.741276Z digest=sha256:225ed85fb9b3263bf2c20445045cc9f580b9cfbe813d10091e65f7f087f3ec26

Observation 86d2ff17-7ae8-40cb-92b9-b3c45568fdfc · inbound

dS/CFT Correspondence from a Defect Operator cites this paper.

dS/CFT Correspondence from a Defect Operator Pseudo-Hermiticity versus PT Symmetry: The necessary condition for the reality of the spectrum of a non-Hermitian Hamiltonian

Reference 26

Resolution
unresolved
no resolver link, observed 2026-08-03T16:56:13.611610Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T16:56:13.611610Z digest=sha256:8ad972c1a8a9464507f5aabe1ca56a15c84469ca39f360dbaf07645aeeb209ca

Observation 2e92db1e-b9e5-4e36-9c3f-abe9f9ba7ee5 · inbound

Exact WKB analysis of inverted triple-well: resonance, PT-symmetry breaking, and resurgence cites this paper.

Exact WKB analysis of inverted triple-well: resonance, PT-symmetry breaking, and resurgence Pseudo-Hermiticity versus PT Symmetry: The necessary condition for the reality of the spectrum of a non-Hermitian Hamiltonian

Reference 7

Resolution
verified exact
arxiv_id, observed 2026-05-10T22:50:50.561827Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-05-10T19:31:50.995501Z digest=sha256:401863e233cb31eb0bd8c392091e6d93b3634d5b8593492b0f7479a25e8a8188

Observation f941b6ef-8f94-4d82-9fb4-3954ecb3c97d · inbound

Exact WKB analysis of inverted triple-well: resonance, PT-symmetry breaking, and resurgence cites this paper.

Exact WKB analysis of inverted triple-well: resonance, PT-symmetry breaking, and resurgence Pseudo-Hermiticity versus PT Symmetry: The necessary condition for the reality of the spectrum of a non-Hermitian Hamiltonian

Reference 7

Resolution
verified exact
arxiv_id, observed 2026-05-13T07:52:31.185071Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-05-13T07:52:12.455546Z digest=sha256:7659df05e210216f8c709eb6df7b28066f02fd3dfb1d4f52390ad54810a190f1

Observation 68f07e2c-bfd9-4284-bb03-2edb2b4ca2a2 · inbound

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

Two flavor neutrino oscillations in presence of non-Hermitian dynamics Pseudo-Hermiticity versus PT Symmetry: The necessary condition for the reality of the spectrum of a non-Hermitian Hamiltonian

Reference 60

Resolution
verified exact
arxiv_id, observed 2026-05-11T19:26:07.407015Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-05-08T12:02:24.174670Z digest=sha256:7aea3899832a82861404c4f2f6aeef276c07a77d5fc026595dcceb4f3634f622

Observation 5e39eeb9-9d9c-4fc4-a461-5f9c3ad42580 · inbound

Pathways to Real Composite Operators from Non-Hermitian Fermions cites this paper.

Pathways to Real Composite Operators from Non-Hermitian Fermions Pseudo-Hermiticity versus PT Symmetry: The necessary condition for the reality of the spectrum of a non-Hermitian Hamiltonian

Reference 6

Resolution
verified exact
local_arxiv, observed 2026-06-27T20:31:14.613963Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-07-11T11:50:26.030339Z digest=sha256:7ca919482e90f863cb111a2288d7f19dfce4446bee8a3cec96f0a98d87e39d08

Observation 1395224d-ade3-4cf2-97d0-7131d4f023cb · inbound

Scalar Quantum Fields: Theory Space and its Geometry cites this paper.

Scalar Quantum Fields: Theory Space and its Geometry Pseudo-Hermiticity versus PT Symmetry: The necessary condition for the reality of the spectrum of a non-Hermitian Hamiltonian

Reference 6

Resolution
verified exact
local_arxiv, observed 2026-07-03T12:58:07.599513Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-06-27T08:41:51.590928Z digest=sha256:b155d705fda1b6747a2188ccd8c276508618cb1b891e4a45ffb37af511cb4e8d

Observation f6530843-d712-4c80-8b60-d79d4d177047 · inbound

Kubo-Martin-Schwinger conditions for non-Hermitian systems cites this paper.

Kubo-Martin-Schwinger conditions for non-Hermitian systems Pseudo-Hermiticity versus PT Symmetry: The necessary condition for the reality of the spectrum of a non-Hermitian Hamiltonian

Reference 14

Resolution
verified exact
local_arxiv, observed 2026-07-03T15:38:33.477064Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-06-27T06:25:21.948049Z digest=sha256:71ed79cc37ebab2f83cc2528e30202b63560d2b8cf72da12e778fd656d3d20a8

Observation b6017e18-fa00-494f-b451-2d5d2a85187b · inbound

Kubo-Martin-Schwinger conditions for non-Hermitian systems cites this paper.

Kubo-Martin-Schwinger conditions for non-Hermitian systems Pseudo-Hermiticity versus PT Symmetry: The necessary condition for the reality of the spectrum of a non-Hermitian Hamiltonian

Reference 15

Resolution
verified exact
local_arxiv, observed 2026-07-01T08:05:31.382692Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-07-01T07:42:23.035916Z digest=sha256:7f0ce9ee777ffa9d6d74e9ad1c7c4fd6dd8a49772297c9dc9d9b666506c251b0

Observation c8c30474-8240-4503-aa0d-22f7f1a8a2fd · inbound

Real-time pseudo entropy and modular-Hamiltonian correlations cites this paper.

Real-time pseudo entropy and modular-Hamiltonian correlations Pseudo-Hermiticity versus PT Symmetry: The necessary condition for the reality of the spectrum of a non-Hermitian Hamiltonian

Reference 33

Resolution
verified exact
local_arxiv, observed 2026-07-03T16:38:40.374451Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-06-27T05:12:00.098906Z digest=sha256:e00190905c5bbb327c2f87f95eaa67f7d6cef88a66ed3f516a5b2c1c7f944677

Observation af2e2955-f3bb-4b4b-a0b9-071c6696b50d · inbound

Extracting Boundary Conformal Data from Periodic Non-Hermitian Critical Chains cites this paper.

Extracting Boundary Conformal Data from Periodic Non-Hermitian Critical Chains Pseudo-Hermiticity versus PT Symmetry: The necessary condition for the reality of the spectrum of a non-Hermitian Hamiltonian

Reference 37

Resolution
unresolved
no resolver link, observed 2026-08-03T02:10:13.489854Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T02:10:13.489854Z digest=sha256:678a9cbb7e097a8750f3e9a6e63d5190fea7ce7e13305e10fc0834d8c101faa5

Observation c5d5ffc5-0e11-454e-9f1d-5151d2e67138 · inbound

CFT Dual for Timelike Geodesic in Lorentzian dS cites this paper.

CFT Dual for Timelike Geodesic in Lorentzian dS Pseudo-Hermiticity versus PT Symmetry: The necessary condition for the reality of the spectrum of a non-Hermitian Hamiltonian

Reference 29

Resolution
verified exact
local_arxiv, observed 2026-06-30T09:04:32.263351Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-07-11T11:50:26.030339Z digest=sha256:439b18465126bdab53ac3963ec4ba7f2bfda44123fd10cac4f6b418179389ebe

Observation ec35f5b7-1776-4893-963e-25484282fd09 · inbound

CFT Dual for Timelike Geodesic in Lorentzian dS cites this paper.

CFT Dual for Timelike Geodesic in Lorentzian dS Pseudo-Hermiticity versus PT Symmetry: The necessary condition for the reality of the spectrum of a non-Hermitian Hamiltonian

Reference 29

Resolution
unresolved
no resolver link, observed 2026-07-12T11:16:44.591216Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-12T11:16:44.591216Z digest=sha256:8894a4be4c1435295f8d0bdc4ec248f1a94d6d54760b3ef2b709e63a8b93fed1

Observation a56cf038-c50d-4d16-80f2-9ec329d36c5f · inbound

Hadronic exceptional points cites this paper.

Hadronic exceptional points Pseudo-Hermiticity versus PT Symmetry: The necessary condition for the reality of the spectrum of a non-Hermitian Hamiltonian

Reference 179

Resolution
verified exact
local_arxiv, observed 2026-07-01T11:05:41.568039Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-07-01T04:48:30.563853Z digest=sha256:be08f1fb80e7756821653b54bfd736b280e156184bc995945cfcc26022fa055d

Observation ab5b5494-99c4-40fb-968e-0ede31f905e4 · inbound

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

Non-Hermitian Holographic Flows to Little Rip Cosmologies Pseudo-Hermiticity versus PT Symmetry: The necessary condition for the reality of the spectrum of a non-Hermitian Hamiltonian

Reference 51

Resolution
unresolved
no resolver link, observed 2026-08-02T02:48:59.194564Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T02:48:59.194564Z digest=sha256:4445145deac14ed98c1319e428814655c889d2c5330904335dfa1c2561220c88

Observation 636f2028-fd86-4963-8b45-a1b760a5355f · inbound

Superselected ghost theory: real spectrum cites this paper.

Superselected ghost theory: real spectrum Pseudo-Hermiticity versus PT Symmetry: The necessary condition for the reality of the spectrum of a non-Hermitian Hamiltonian

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-10T04:23:15.560682Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T04:23:15.560682Z digest=sha256:5b6e3c1fe88963be821ca27cbb0bbd4bf69f03a210e559da5c6afce262bf04dc