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Paper Citation Record · LEDGER

Metric completion of the Bender--Brody--M\"uller Hamiltonian: dilation spectrum and missing eigenstates

As of 19 August 2026, this Paper Citation Record lists 29 of 29 outbound references and 0 inbound Pith citation observations for arXiv:2607.19067.

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

pith.paper-citation-record.v1
2607.19067 v1

Coverage vector

measured 29 of 29 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T15:43:41.056146Z

measured 29 of 29 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+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

29 of 29 outbound references displayed

  • verified exact1
  • verified fuzzy17
  • unresolved11
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 0eeef55e-435e-4548-971a-3882ef32397b · outbound

This paper cites This is stronger than saying that a formal differential expression has a domain prob- lem.

Metric completion of the Bender--Brody--M\"uller Hamiltonian: dilation spectrum and missing eigenstates This is stronger than saying that a formal differential expression has a domain prob- lem

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:43:42.849993Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T15:43:40.304928Z digest=sha256:c854b3888ccb747f01eb8ac9382d60f37935ad730036762972dc905c8bf40d81

Observation f4073ce7-dcf1-497f-aafe-2b7394c142f1 · outbound

This paper cites an unresolved cited work.

Metric completion of the Bender--Brody--M\"uller Hamiltonian: dilation spectrum and missing eigenstates Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-15T15:43:42.809695Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T15:43:40.399705Z digest=sha256:b09bf044edb5b3e2484215d6fa63c4eef632150d8c83cc19d64c7d70abd2a488

Observation b8430cbc-037e-4194-aa73-c8c6d329d934 · outbound

This paper cites Connes,Trace formula in noncommutative geometry and the zeros of the Riemann zeta function, Selecta Math.

Metric completion of the Bender--Brody--M\"uller Hamiltonian: dilation spectrum and missing eigenstates Connes,Trace formula in noncommutative geometry and the zeros of the Riemann zeta function, Selecta Math

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:43:42.607674Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T15:43:40.423499Z digest=sha256:296029dda010c459b775331a94176741dfcef4b903911e52d09f9e4fb7655f00

Observation ab76b874-1c89-4288-ad29-7feacc8a0234 · outbound

This paper cites Mostafazadeh,Pseudo-Hermiticity versus PT symme- try: The necessary condition for the reality of the spec- trum of a non-Hermitian Hamiltonian, J.

Metric completion of the Bender--Brody--M\"uller Hamiltonian: dilation spectrum and missing eigenstates Mostafazadeh,Pseudo-Hermiticity versus PT symme- try: The necessary condition for the reality of the spec- trum of a non-Hermitian Hamiltonian, J

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:43:42.528379Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T15:43:40.428198Z digest=sha256:b8106ad938e800c998f4dd27baedf8524b9d4105ca22350a8d8efdc9252e6d58

Observation 76c4e0ae-0cec-490c-be52-9e502ad20b48 · outbound

This paper cites de Branges,Hilbert Spaces of Entire Functions (Prentice-Hall, Englewood Cliffs, NJ, 1968).

Metric completion of the Bender--Brody--M\"uller Hamiltonian: dilation spectrum and missing eigenstates de Branges,Hilbert Spaces of Entire Functions (Prentice-Hall, Englewood Cliffs, NJ, 1968)

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:43:42.417879Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T15:43:40.436707Z digest=sha256:c8100ce3dd36caa71127ee1b0868973b816f3954f2ef45caa063188282dd5ec1

Observation c5a07d14-d891-4ebd-aaa8-a26895e8246f · outbound

This paper cites de Branges,The Riemann hypothesis for Hilbert spaces of entire functions, Bull.

Metric completion of the Bender--Brody--M\"uller Hamiltonian: dilation spectrum and missing eigenstates de Branges,The Riemann hypothesis for Hilbert spaces of entire functions, Bull

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:43:42.404235Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T15:43:40.468355Z digest=sha256:1ed37c2bd6cd52fbf7dbe49bb18ff3f6a2fb6c985c46a197f20ce33b4609b95e

Observation 1ae1ee47-a6c0-49c6-b311-09d14c4a7e3a · outbound

This paper cites an unresolved cited work.

Metric completion of the Bender--Brody--M\"uller Hamiltonian: dilation spectrum and missing eigenstates Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-15T15:43:42.389201Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T15:43:40.536982Z digest=sha256:a96fea27ac7a2cc5f5d04384de16f8e59461319e26ad2724d599fd4ce34861aa

Observation 16f297c9-675e-4da9-9274-ac2b25b69640 · outbound

This paper cites an unresolved cited work.

Metric completion of the Bender--Brody--M\"uller Hamiltonian: dilation spectrum and missing eigenstates Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-15T15:43:42.059725Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T15:43:40.735846Z digest=sha256:54f7ff323102b098a48417f9e4df1c71602ba39ec08a4717b4d261859d15f371

Observation b32441d3-1faa-44fc-b1a8-ba33185f12ab · outbound

This paper cites Mostafazadeh,Pseudo-Hermitian representation of quantum mechanics, Int.

Metric completion of the Bender--Brody--M\"uller Hamiltonian: dilation spectrum and missing eigenstates Mostafazadeh,Pseudo-Hermitian representation of quantum mechanics, Int

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:43:41.956486Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T15:43:40.739927Z digest=sha256:14fca3a08acd061895ba94a5f85331952fc79b8d50cfe525880964fce0f4fa29

Observation d2825e5e-573d-4e6a-84a1-d1ec43086cf6 · outbound

This paper cites Yakaboylu,Hamiltonian for the Hilbert–P´ olya conjec- ture, J.

Metric completion of the Bender--Brody--M\"uller Hamiltonian: dilation spectrum and missing eigenstates Yakaboylu,Hamiltonian for the Hilbert–P´ olya conjec- ture, J

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:43:41.779569Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T15:43:40.755115Z digest=sha256:08cfefa936089daa290f98080c305be6b0396dff91f872c700201a861ce41d6a

Observation 3c9b2ea6-742e-4540-93f5-5793623294b5 · outbound

This paper cites an unresolved cited work.

Metric completion of the Bender--Brody--M\"uller Hamiltonian: dilation spectrum and missing eigenstates Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-08-15T15:43:41.766480Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T15:43:40.759811Z digest=sha256:215b46a23e79908c4f0f9cb031cab9854fdb0c101a3271bd166fd7066ab5eac7

Observation 47a99c26-52e6-4ee2-a9ac-3b3958a547da · outbound

This paper cites Comment on "Hamiltonian for the Zeros of the Riemann Zeta Function".

Metric completion of the Bender--Brody--M\"uller Hamiltonian: dilation spectrum and missing eigenstates Comment on "Hamiltonian for the Zeros of the Riemann Zeta Function"

Reference 22

Resolution
unresolved
no resolver link, observed 2026-08-15T15:43:40.764686Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T15:43:40.764686Z digest=sha256:da0040ebbab8a7731b407369a8e433fe44358c88b150dd0b9ddbff71ed2a632a

Observation 5e3f75ca-ccbf-4816-8f80-d9cb211bb227 · outbound

This paper cites an unresolved cited work.

Metric completion of the Bender--Brody--M\"uller Hamiltonian: dilation spectrum and missing eigenstates Unresolved cited work

Reference 23

Resolution
unresolved
raw_fallback, observed 2026-08-15T15:43:42.636572Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T15:43:40.769098Z digest=sha256:0c3dbfbd1685d41cedda7069c1cbe6e65f6693741545d37397d39125101cd16d

Observation 98c98104-32e0-4871-b387-8785a4f49638 · outbound

This paper cites Comment on 'Comment on "Hamiltonian for the zeros of the Riemann zeta function" '.

Metric completion of the Bender--Brody--M\"uller Hamiltonian: dilation spectrum and missing eigenstates Comment on 'Comment on "Hamiltonian for the zeros of the Riemann zeta function" '

Reference 24

Resolution
verified exact
local_arxiv, observed 2026-08-15T15:43:41.213742Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T15:43:40.773056Z digest=sha256:2898537ebb49577506164735d91d3fcf67de613e143710a405ae41e69b625927

Observation 09726075-be50-472e-994f-a8efd8f7675b · outbound

This paper cites an unresolved cited work.

Metric completion of the Bender--Brody--M\"uller Hamiltonian: dilation spectrum and missing eigenstates Unresolved cited work

Reference 25

Resolution
unresolved
raw_fallback, observed 2026-08-15T15:43:42.621851Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T15:43:40.776981Z digest=sha256:689a8560ee8198334e5b2f977046b49ec8f13456c8989d19370623926aa59d66

Observation 8b32dd61-fe6c-4dd8-af16-1a3e352af400 · outbound

This paper cites Connes,Trace formula in noncommutative geometry and the zeros of the Riemann zeta function, Selecta Math.

Metric completion of the Bender--Brody--M\"uller Hamiltonian: dilation spectrum and missing eigenstates Connes,Trace formula in noncommutative geometry and the zeros of the Riemann zeta function, Selecta Math

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:43:41.753917Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T15:43:40.781007Z digest=sha256:207dfa3f4850a529607aaaf9150e59c142af7d14425e84badc535e8f7e8c4750

Observation 924e4c90-7aaf-4789-a047-13d5f8a21d9b · outbound

This paper cites Mostafazadeh,Pseudo-Hermiticity versus PT symmetry: The necessary condition for the reality of the spectrum of a non-Hermitian Hamiltonian, J.

Metric completion of the Bender--Brody--M\"uller Hamiltonian: dilation spectrum and missing eigenstates Mostafazadeh,Pseudo-Hermiticity versus PT symmetry: The necessary condition for the reality of the spectrum of a non-Hermitian Hamiltonian, J

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:43:41.740379Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T15:43:40.785251Z digest=sha256:29ce8092c00b55582c5037f65776b10775936ae5ec6d4c2dc7fbc56dce736f8c

Observation 89cd315f-6698-4341-a3ea-da5192a726f8 · outbound

This paper cites Bogn´ ar,Indefinite Inner Product Spaces(Springer, Berlin, 1974).

Metric completion of the Bender--Brody--M\"uller Hamiltonian: dilation spectrum and missing eigenstates Bogn´ ar,Indefinite Inner Product Spaces(Springer, Berlin, 1974)

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:43:42.432610Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T15:43:40.788738Z digest=sha256:1662f14a2f5c0915f8ad35f0af85f250aab6ff25367e20c10bab6ab4036fae7d

Observation 91f83379-a32a-4044-8f0c-460b4e359451 · outbound

This paper cites de Branges,Hilbert Spaces of Entire Functions(Prentice-Hall, Englewood Cliffs, NJ, 1968).

Metric completion of the Bender--Brody--M\"uller Hamiltonian: dilation spectrum and missing eigenstates de Branges,Hilbert Spaces of Entire Functions(Prentice-Hall, Englewood Cliffs, NJ, 1968)

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:43:41.673091Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T15:43:40.793211Z digest=sha256:ceff3bf99ac966611ac789ad2250992a5523b66ae2269464f11ea0e2336cd833

Observation e56c8f63-40a4-4cd3-8f30-ff0d259b7711 · outbound

This paper cites de Branges,The Riemann hypothesis for Hilbert spaces of entire functions, Bull.

Metric completion of the Bender--Brody--M\"uller Hamiltonian: dilation spectrum and missing eigenstates de Branges,The Riemann hypothesis for Hilbert spaces of entire functions, Bull

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:43:41.467828Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T15:43:40.797733Z digest=sha256:85fc0f5ba852f955a253a133a58a465a28ab9aab62f239502c6bc7f3c78920ca

Observation fd43b2c8-1bba-4d4a-a757-d9b647320d40 · outbound

This paper cites an unresolved cited work.

Metric completion of the Bender--Brody--M\"uller Hamiltonian: dilation spectrum and missing eigenstates Unresolved cited work

Reference 31

Resolution
unresolved
raw_fallback, observed 2026-08-15T15:43:41.321794Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T15:43:40.802115Z digest=sha256:3c1bef35fbd7e3837200cbf7cc2b8bbd02a3c2a27431bcc2c154b263bded4e0a

Observation 4552eea8-f28d-46e7-b31e-3572f11bc768 · outbound

This paper cites an unresolved cited work.

Metric completion of the Bender--Brody--M\"uller Hamiltonian: dilation spectrum and missing eigenstates Unresolved cited work

Reference 32

Resolution
unresolved
raw_fallback, observed 2026-08-15T15:43:42.200206Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T15:43:40.806302Z digest=sha256:b0b9df5484d4eca64b34ee1e346ba74658e481c4d82cdf83309e59da9ab64f75

Observation 34f16f17-b5ef-4c84-96e0-1e579ca2c583 · outbound

This paper cites an unresolved cited work.

Metric completion of the Bender--Brody--M\"uller Hamiltonian: dilation spectrum and missing eigenstates Unresolved cited work

Reference 33

Resolution
unresolved
raw_fallback, observed 2026-08-15T15:43:42.073045Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T15:43:40.810367Z digest=sha256:cab91401ab5758902ea0116d9302ccd6a769df2f88c8a8601e2ba6800b0f46df

Observation 6a5f2976-06f2-4a22-be38-2e8eec33a29b · outbound

This paper cites an unresolved cited work.

Metric completion of the Bender--Brody--M\"uller Hamiltonian: dilation spectrum and missing eigenstates Unresolved cited work

Reference 34

Resolution
unresolved
raw_fallback, observed 2026-08-15T15:43:41.271024Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T15:43:40.814562Z digest=sha256:ba7121aef5c254d71e727d332e2a2180ca8dcfaefeed392b4766c215d9d56e50

Observation 80775b6d-6ca5-4675-b9d5-d5fad7127eaa · outbound

This paper cites Mostafazadeh,Pseudo-Hermitian representation of quantum mechanics, Int.

Metric completion of the Bender--Brody--M\"uller Hamiltonian: dilation spectrum and missing eigenstates Mostafazadeh,Pseudo-Hermitian representation of quantum mechanics, Int

Reference 35

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:43:41.258330Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T15:43:40.818957Z digest=sha256:c4a932417d40834f8809ee32b6c83978c019fb700edffd7847c2848fc0b7561f

Observation 838d144a-8c4b-4854-b2d6-0158cf381a72 · outbound

This paper cites Siegl and D.

Metric completion of the Bender--Brody--M\"uller Hamiltonian: dilation spectrum and missing eigenstates Siegl and D

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:43:41.817891Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T15:43:40.822559Z digest=sha256:57714307262b330f439252a0914fe478e49fdb1b752d11ca8750a56ad324cca3

Observation 3948da09-3d13-4848-b691-0b3c90535ff2 · outbound

This paper cites Sierra and J.

Metric completion of the Bender--Brody--M\"uller Hamiltonian: dilation spectrum and missing eigenstates Sierra and J

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:43:41.804119Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T15:43:40.826648Z digest=sha256:8e3838123fe050171516fb8457db3f674687a401bbcee42a68836cb7f2fbbe2c

Observation be44d229-e3c6-49fc-b00c-8956e0778215 · outbound

This paper cites Schumayer and D.

Metric completion of the Bender--Brody--M\"uller Hamiltonian: dilation spectrum and missing eigenstates Schumayer and D

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:43:41.791931Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T15:43:40.926921Z digest=sha256:89034a40c589dbe89804d552998feaac133d2d00c0a502f498b93fca11db09e7

Observation f3f07dc2-3c6c-4b86-818b-52ce803907e7 · outbound

This paper cites Yakaboylu,Hamiltonian for the Hilbert–P´ olya conjecture, J.

Metric completion of the Bender--Brody--M\"uller Hamiltonian: dilation spectrum and missing eigenstates Yakaboylu,Hamiltonian for the Hilbert–P´ olya conjecture, J

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:43:41.245159Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T15:43:41.056146Z digest=sha256:e3904972d1e87ac2443566a844e2a15dd2798fc633b8dd3c6ca36982e8d346fe

Pith citing papers

No inbound Pith citation observations are available.