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Paper Citation Record · LEDGER

The Crossed Product, Modular (Tomita) Dynamics and its Role in the Transition of Type $III$ to Type $II_{\infty}$ v.Neumann Algebras and Connections to Quantum Gravity

As of 10 August 2026, this Paper Citation Record lists 52 of 52 outbound references and 0 inbound Pith citation observations for arXiv:2507.01419.

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

pith.paper-citation-record.v1
2507.01419 v1

Coverage vector

measured 52 of 52 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T21:00:00.654701Z

measured 52 of 52 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-10T06:31:04.303077+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

52 of 52 outbound references displayed

  • verified exact4
  • verified fuzzy11
  • unresolved36
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 383a59bf-75b3-4da5-ac91-b9aecb63551e · outbound

This paper cites 131 (1973) 249.

The Crossed Product, Modular (Tomita) Dynamics and its Role in the Transition of Type $III$ to Type $II_{\infty}$ v.Neumann Algebras and Connections to Quantum Gravity 131 (1973) 249

Reference 1

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T20:59:56.600212Z digest=sha256:7510e8bb28c92d667ac6798db0ca3320212a091b3affefe4d5953f977089de81

Observation 665b6b91-f12f-4cfe-964b-ae2d1fa59bea · outbound

This paper cites von Neumann:On rings of operators, Ann.Math.

The Crossed Product, Modular (Tomita) Dynamics and its Role in the Transition of Type $III$ to Type $II_{\infty}$ v.Neumann Algebras and Connections to Quantum Gravity von Neumann:On rings of operators, Ann.Math

Reference 2

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verified fuzzy
raw_fallback, observed 2026-08-06T21:00:07.238951Z

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T20:59:56.642729Z digest=sha256:4979f76fcf6190140099f938e21abdf06acce88b7e36d6c4b89f5a9176d686d3

Observation c0826f8b-8778-42b4-8bfa-6a65a96aaddc · outbound

This paper cites von Neumann:On rings of operators II, Trans.Am.Math.Soc.

The Crossed Product, Modular (Tomita) Dynamics and its Role in the Transition of Type $III$ to Type $II_{\infty}$ v.Neumann Algebras and Connections to Quantum Gravity von Neumann:On rings of operators II, Trans.Am.Math.Soc

Reference 3

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T20:59:56.689456Z digest=sha256:c64ab905e979aacb70971862b10e89bb742a1675427214cfb0aec80a2da60110

Observation 14c5710a-f336-482a-8447-9e9cf27bc7e1 · outbound

This paper cites von Neumann:On rings of operators III, Ann.Math.

The Crossed Product, Modular (Tomita) Dynamics and its Role in the Transition of Type $III$ to Type $II_{\infty}$ v.Neumann Algebras and Connections to Quantum Gravity von Neumann:On rings of operators III, Ann.Math

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T21:00:06.990186Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T20:59:56.744690Z digest=sha256:ee6051509db3cb3b67e09d6e5ad58439363e19d38ad6db01091233071138d3e3

Observation 80ff4324-86e2-4222-989b-d73ae1675a7e · outbound

This paper cites von Neumann:On rings of operators IV, Ann.Math.44(1943)716.

The Crossed Product, Modular (Tomita) Dynamics and its Role in the Transition of Type $III$ to Type $II_{\infty}$ v.Neumann Algebras and Connections to Quantum Gravity von Neumann:On rings of operators IV, Ann.Math.44(1943)716

Reference 5

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verified fuzzy
raw_fallback, observed 2026-08-06T21:00:06.835187Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T20:59:56.807743Z digest=sha256:c42ca9beb33e4cb75ece588d4dfbed55ae7f7dc2f0a3779b3fc1b129c926e2b6

Observation 707406ff-97a7-41fc-a5d9-6f9fb1c39081 · outbound

This paper cites an unresolved cited work.

The Crossed Product, Modular (Tomita) Dynamics and its Role in the Transition of Type $III$ to Type $II_{\infty}$ v.Neumann Algebras and Connections to Quantum Gravity Unresolved cited work

Reference 6

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T20:59:56.873177Z digest=sha256:22806a05a9fb172efd731f13f156d1536b1e963c893b7578d44b8b7d23b3c199

Observation 3552273a-a554-49fe-a349-34f6e373de0a · outbound

This paper cites an unresolved cited work.

The Crossed Product, Modular (Tomita) Dynamics and its Role in the Transition of Type $III$ to Type $II_{\infty}$ v.Neumann Algebras and Connections to Quantum Gravity Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-06T21:00:06.566140Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T20:59:56.998675Z digest=sha256:ecccb4719cbbac6cc9433f5d7038b79c60c84b30349d8932573dba2f82b50155

Observation c97e7bef-8f4c-45d4-9723-ce9715fcc7dc · outbound

This paper cites an unresolved cited work.

The Crossed Product, Modular (Tomita) Dynamics and its Role in the Transition of Type $III$ to Type $II_{\infty}$ v.Neumann Algebras and Connections to Quantum Gravity Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-06T21:00:06.388893Z

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T20:59:57.079611Z digest=sha256:ea63c94946aee93f8d0bdc8400c4f64156cccb7ff625d68ca57488c00f7be9f0

Observation ceea87b0-aee7-4bcc-b960-7e1ec067211b · outbound

This paper cites an unresolved cited work.

The Crossed Product, Modular (Tomita) Dynamics and its Role in the Transition of Type $III$ to Type $II_{\infty}$ v.Neumann Algebras and Connections to Quantum Gravity Unresolved cited work

Reference 10

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T20:59:57.130551Z digest=sha256:4723fd300c9a4f68b7f80e2292d88292849ae689b175325ea18c02585e6a6772

Observation c4e1ed9b-9aa7-46e6-ad38-045913ccb06a · outbound

This paper cites an unresolved cited work.

The Crossed Product, Modular (Tomita) Dynamics and its Role in the Transition of Type $III$ to Type $II_{\infty}$ v.Neumann Algebras and Connections to Quantum Gravity Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-06T21:00:06.107634Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T20:59:57.179999Z digest=sha256:bfea3d293ab4908052a7503aa03a7b0f5a334ff90bf9718d08f2d4d63c815d23

Observation baa60e72-5366-4c81-aea8-768fc690c69d · outbound

This paper cites an unresolved cited work.

The Crossed Product, Modular (Tomita) Dynamics and its Role in the Transition of Type $III$ to Type $II_{\infty}$ v.Neumann Algebras and Connections to Quantum Gravity Unresolved cited work

Reference 12

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T20:59:57.225304Z digest=sha256:d9e3c30d53fb24e35e29b6a14a1a2235f468d3189e247a8ee4037fff726bfa36

Observation 79c66a77-93c4-443e-a25a-aa511286da01 · outbound

This paper cites an unresolved cited work.

The Crossed Product, Modular (Tomita) Dynamics and its Role in the Transition of Type $III$ to Type $II_{\infty}$ v.Neumann Algebras and Connections to Quantum Gravity Unresolved cited work

Reference 13

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

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Reference 14

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no resolver link, observed 2026-08-06T20:59:57.344067Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Reference 15

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no resolver link, observed 2026-08-06T20:59:57.404377Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T20:59:57.404377Z digest=sha256:b753ddf02a39b7dea1bdf880cc15119317a84bf9bf5e07d04523b6d3d4af7715

Reference 16

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no resolver link, observed 2026-08-06T20:59:57.457530Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T20:59:57.457530Z digest=sha256:ea985033b117ee19c3af121c1df9d9853abfcbd87029d5471e3be1723b48f716

Observation 7b876cf3-1484-49e9-9645-061aeb81571a · outbound

This paper cites an unresolved cited work.

The Crossed Product, Modular (Tomita) Dynamics and its Role in the Transition of Type $III$ to Type $II_{\infty}$ v.Neumann Algebras and Connections to Quantum Gravity Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-06T21:00:05.667146Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T20:59:57.508660Z digest=sha256:eae6121f96dda9bd33b743ca9ec059e99a0228a36360c846531bd535c5760319

Reference 18

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no resolver link, observed 2026-08-06T20:59:57.573961Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T20:59:57.573961Z digest=sha256:1e48991f56f0c0d0ee982721170db586a38d75e3b418c493f690af543c60c08b

Observation f079e0d3-7975-4d40-9709-d5df0b3953eb · outbound

This paper cites Crossed Products, Extended Phase Spaces and the Resolution of Entanglement Singularities.

The Crossed Product, Modular (Tomita) Dynamics and its Role in the Transition of Type $III$ to Type $II_{\infty}$ v.Neumann Algebras and Connections to Quantum Gravity Crossed Products, Extended Phase Spaces and the Resolution of Entanglement Singularities

Reference 19

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no resolver link, observed 2026-08-06T20:59:57.616726Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T20:59:57.616726Z digest=sha256:0ab0272f1ef23fc6b3b52e8c57a12815657285867e88286aaa3f6ecf6d5ac7bd

Reference 20

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no resolver link, observed 2026-08-06T20:59:57.648377Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T20:59:57.648377Z digest=sha256:acdfd4fd06e79277adaee7867c214a7811edd4076c301e91a90748e536621c3a

Observation 71ca3768-9284-4f61-9fa0-afb14dcba81c · outbound

This paper cites an unresolved cited work.

The Crossed Product, Modular (Tomita) Dynamics and its Role in the Transition of Type $III$ to Type $II_{\infty}$ v.Neumann Algebras and Connections to Quantum Gravity Unresolved cited work

Reference 21

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unresolved
raw_fallback, observed 2026-08-06T21:00:05.458958Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T20:59:57.712547Z digest=sha256:9c132053b8a890daa5a2836d0cf86b294d56f392149953bf3b68e2bcc7752fa7

Observation c055abc8-6635-4c40-b0bb-c23d64a32999 · outbound

This paper cites an unresolved cited work.

The Crossed Product, Modular (Tomita) Dynamics and its Role in the Transition of Type $III$ to Type $II_{\infty}$ v.Neumann Algebras and Connections to Quantum Gravity Unresolved cited work

Reference 22

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unresolved
raw_fallback, observed 2026-08-06T21:00:05.299521Z

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T20:59:57.764508Z digest=sha256:871e0243ca763c23b31d84f875095a57879e4810bf404178a2837d0b1ff99bce

Observation 957f5a3e-5855-4395-aca2-1923244619dc · outbound

This paper cites How to Observe Quantum Fields and Recover Them from Observational Data? -- Takesaki Duality as a Micro-Macro Duality --.

The Crossed Product, Modular (Tomita) Dynamics and its Role in the Transition of Type $III$ to Type $II_{\infty}$ v.Neumann Algebras and Connections to Quantum Gravity How to Observe Quantum Fields and Recover Them from Observational Data? -- Takesaki Duality as a Micro-Macro Duality --

Reference 23

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local_arxiv, observed 2026-08-06T21:00:01.506376Z

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

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Observation 92306718-b6d4-45b1-b41f-003db6eb4c11 · outbound

This paper cites an unresolved cited work.

The Crossed Product, Modular (Tomita) Dynamics and its Role in the Transition of Type $III$ to Type $II_{\infty}$ v.Neumann Algebras and Connections to Quantum Gravity Unresolved cited work

Reference 24

Resolution
unresolved
raw_fallback, observed 2026-08-06T21:00:05.130957Z

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T20:59:57.810189Z digest=sha256:b0b78cef78805c112d2827663343f035caa56c3f2086bb27b732345026623f68

Observation aa7f94c6-86a5-4513-ba83-374a4b8db29f · outbound

This paper cites an unresolved cited work.

The Crossed Product, Modular (Tomita) Dynamics and its Role in the Transition of Type $III$ to Type $II_{\infty}$ v.Neumann Algebras and Connections to Quantum Gravity Unresolved cited work

Reference 25

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raw_fallback, observed 2026-08-06T21:00:04.937689Z

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T20:59:57.845654Z digest=sha256:211fcc138b91488ffddccb3fb06208abb89a2f0d1c429ea42f200132cf4a1cc0

Observation c3b7dcc6-ee2b-4072-8ab5-60d8671f5bbd · outbound

This paper cites an unresolved cited work.

The Crossed Product, Modular (Tomita) Dynamics and its Role in the Transition of Type $III$ to Type $II_{\infty}$ v.Neumann Algebras and Connections to Quantum Gravity Unresolved cited work

Reference 26

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unresolved
raw_fallback, observed 2026-08-06T21:00:04.808626Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T20:59:58.024591Z digest=sha256:eba59647dd27275f7326b2567bf0f4981c066898b079a33f42a5b9b750afc4bf

Observation 50f32367-5943-4ebf-b3ed-50dbf4aaf760 · outbound

This paper cites SSSR 177 (1967) 70, or Gen.Rel.Grav.

The Crossed Product, Modular (Tomita) Dynamics and its Role in the Transition of Type $III$ to Type $II_{\infty}$ v.Neumann Algebras and Connections to Quantum Gravity SSSR 177 (1967) 70, or Gen.Rel.Grav

Reference 27

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verified fuzzy
raw_fallback, observed 2026-08-06T21:00:04.646137Z

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T20:59:58.180561Z digest=sha256:a97e58401130d70b369b67187aa26138237ebc11af9168160d5b368686000e9a

Reference 28

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no resolver link, observed 2026-08-06T20:59:58.315486Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T20:59:58.315486Z digest=sha256:6fc8f7cc9e0b730db50931d6774be4a93298e875c52ccb31644f8fb2d311c145

Observation 89b38dbf-e02e-4fc9-8965-c41480680e9a · outbound

This paper cites 54 (1982) 729.

The Crossed Product, Modular (Tomita) Dynamics and its Role in the Transition of Type $III$ to Type $II_{\infty}$ v.Neumann Algebras and Connections to Quantum Gravity 54 (1982) 729

Reference 29

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verified fuzzy
raw_fallback, observed 2026-08-06T21:00:04.500193Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T20:59:58.496093Z digest=sha256:e5448b21d9f732eca778ef0c154b9a8fbdb26806eb9b72c1396810b094c3fbca

Observation 52f7e2b9-2978-4701-a15a-4bc4edd921af · outbound

This paper cites The Thermal Aspects of Relativistic Quantum Field Theory as an Observational Window in a Deeper Layer of Quantum Space-Time or: Dirac's Revenge.

The Crossed Product, Modular (Tomita) Dynamics and its Role in the Transition of Type $III$ to Type $II_{\infty}$ v.Neumann Algebras and Connections to Quantum Gravity The Thermal Aspects of Relativistic Quantum Field Theory as an Observational Window in a Deeper Layer of Quantum Space-Time or: Dirac's Revenge

Reference 30

Resolution
verified exact
local_arxiv, observed 2026-08-06T21:00:01.287739Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T20:59:58.644202Z digest=sha256:613970ef3a42bd0c6df6096ed9a65062bbc595b15cf590283921f2f99de5af59

Observation 022c7617-1a58-4b3b-92e6-964c242b29a2 · outbound

This paper cites an unresolved cited work.

The Crossed Product, Modular (Tomita) Dynamics and its Role in the Transition of Type $III$ to Type $II_{\infty}$ v.Neumann Algebras and Connections to Quantum Gravity Unresolved cited work

Reference 31

Resolution
unresolved
raw_fallback, observed 2026-08-06T21:00:04.365316Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T20:59:58.892558Z digest=sha256:569ec803c0ca1ebe1d5fa8d7928fefcf14bff16926fefe2bb9665aa6140c6258

Observation 67f1e4b7-94d2-4ac4-ae2e-f48268a18807 · outbound

This paper cites an unresolved cited work.

The Crossed Product, Modular (Tomita) Dynamics and its Role in the Transition of Type $III$ to Type $II_{\infty}$ v.Neumann Algebras and Connections to Quantum Gravity Unresolved cited work

Reference 32

Resolution
unresolved
raw_fallback, observed 2026-08-06T21:00:04.231101Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T20:59:59.034386Z digest=sha256:24f23909e61162dd871c522877e0482a0e52e433f2ea48486e737dd9922f665b

Observation 8368c0ca-b0dd-47b9-8171-68b2a33c97d7 · outbound

This paper cites an unresolved cited work.

The Crossed Product, Modular (Tomita) Dynamics and its Role in the Transition of Type $III$ to Type $II_{\infty}$ v.Neumann Algebras and Connections to Quantum Gravity Unresolved cited work

Reference 33

Resolution
unresolved
raw_fallback, observed 2026-08-06T21:00:04.076736Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T20:59:59.089997Z digest=sha256:ae371d8ecf89a90795d08672d1498f746a6a1c6a0fa7881354e773cade2876dc

Reference 34

Resolution
verified exact
local_arxiv, observed 2026-08-06T21:00:01.113932Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T20:59:59.159482Z digest=sha256:31fa7763209b498a37f241cbb386468b5d822b20f833e9b13dcf9cd4bd2c3084

Observation c1d9234f-7163-4fbe-a38d-1e786461049d · outbound

This paper cites The Black Hole Singularity as a Thermodynamic System being the Seat of BH Entropy.

The Crossed Product, Modular (Tomita) Dynamics and its Role in the Transition of Type $III$ to Type $II_{\infty}$ v.Neumann Algebras and Connections to Quantum Gravity The Black Hole Singularity as a Thermodynamic System being the Seat of BH Entropy

Reference 35

Resolution
unresolved
no resolver link, observed 2026-08-06T20:59:59.220537Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T20:59:59.220537Z digest=sha256:caccc02b91757541d2ea225adde28745b9ea99232023663a8df91cefcb6f2873

Observation 8e809dbd-d164-4bc7-8adc-43368fdae4a6 · outbound

This paper cites 36(2)(2024) 430002, arXiv:2302.01958 17.

The Crossed Product, Modular (Tomita) Dynamics and its Role in the Transition of Type $III$ to Type $II_{\infty}$ v.Neumann Algebras and Connections to Quantum Gravity 36(2)(2024) 430002, arXiv:2302.01958 17

Reference 36

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unresolved
no resolver link, observed 2026-08-06T20:59:59.287788Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T20:59:59.287788Z digest=sha256:bc39519bdd2dd921b97c20f9ee49960c66ff25b8cc34762cdbfcc00e8cca50ba

Observation 86310b5a-9da2-4b54-84f0-031753bdff50 · outbound

This paper cites The Role of Type $II_{\infty}$ v.Neumann Algebras and their Tensor Structure in Quantum Gravity}}.

The Crossed Product, Modular (Tomita) Dynamics and its Role in the Transition of Type $III$ to Type $II_{\infty}$ v.Neumann Algebras and Connections to Quantum Gravity The Role of Type $II_{\infty}$ v.Neumann Algebras and their Tensor Structure in Quantum Gravity}}

Reference 37

Resolution
verified exact
local_arxiv, observed 2026-08-06T21:00:01.759682Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T20:59:59.371045Z digest=sha256:098fc123233fb20767d7750ca136bf838d4f7543169002f7a625f880883abfae

Observation 9d018066-bb2d-4505-8e01-110b2d99acb7 · outbound

This paper cites an unresolved cited work.

The Crossed Product, Modular (Tomita) Dynamics and its Role in the Transition of Type $III$ to Type $II_{\infty}$ v.Neumann Algebras and Connections to Quantum Gravity Unresolved cited work

Reference 38

Resolution
unresolved
raw_fallback, observed 2026-08-06T21:00:03.930379Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T20:59:59.431433Z digest=sha256:38cbfddfbc9d136f755981a63ccee56ec1fd75eeb2c3e567b06e4deaf398e0ca

Observation 36420b33-bed4-4e49-bc10-2642459da1e4 · outbound

This paper cites L.Witten, Springer 1970, p.32.

The Crossed Product, Modular (Tomita) Dynamics and its Role in the Transition of Type $III$ to Type $II_{\infty}$ v.Neumann Algebras and Connections to Quantum Gravity L.Witten, Springer 1970, p.32

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T21:00:03.807529Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T20:59:59.512346Z digest=sha256:27930f07941f1c246c91e4f16bad7e9be0573e8f315287960dae00d3d8681cac

Observation ecf9e5f9-a3e2-433a-9473-b207347891a5 · outbound

This paper cites Ecole Normale Superieure 6 (1973) 133.

The Crossed Product, Modular (Tomita) Dynamics and its Role in the Transition of Type $III$ to Type $II_{\infty}$ v.Neumann Algebras and Connections to Quantum Gravity Ecole Normale Superieure 6 (1973) 133

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T21:00:03.645648Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T20:59:59.584102Z digest=sha256:e1e941f638f8691b45b8e72ab8888ca03b324b669fa38fa9a4feccd1041f6c66

Observation 0498f2b3-2789-4f8b-bf75-1a7f16ee555a · outbound

This paper cites an unresolved cited work.

The Crossed Product, Modular (Tomita) Dynamics and its Role in the Transition of Type $III$ to Type $II_{\infty}$ v.Neumann Algebras and Connections to Quantum Gravity Unresolved cited work

Reference 41

Resolution
unresolved
raw_fallback, observed 2026-08-06T21:00:03.508924Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T20:59:59.660709Z digest=sha256:134612eac01df98094a1cf67b3932a93444a695e6f66097b88b9ccf0f394d84f

Observation 85e11f07-b073-4007-82cb-88c9e1cd11e7 · outbound

This paper cites an unresolved cited work.

The Crossed Product, Modular (Tomita) Dynamics and its Role in the Transition of Type $III$ to Type $II_{\infty}$ v.Neumann Algebras and Connections to Quantum Gravity Unresolved cited work

Reference 42

Resolution
unresolved
raw_fallback, observed 2026-08-06T21:00:03.355209Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T20:59:59.773493Z digest=sha256:3883d74b7cb08bdec6ac037650895fecc3726fc2545cc4aee97a81a7402f8e55

Observation d51e40b6-d797-4449-899a-3c2ecbbed1fb · outbound

This paper cites JETP 8 (1959) 70.

The Crossed Product, Modular (Tomita) Dynamics and its Role in the Transition of Type $III$ to Type $II_{\infty}$ v.Neumann Algebras and Connections to Quantum Gravity JETP 8 (1959) 70

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T21:00:03.223894Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T20:59:59.860228Z digest=sha256:758448197271f6301413889d50f2b84b99c2d9acf09894739a86976c41dc6dbf

Observation 403980ba-8413-42cc-92c3-3721c3eaf625 · outbound

This paper cites an unresolved cited work.

The Crossed Product, Modular (Tomita) Dynamics and its Role in the Transition of Type $III$ to Type $II_{\infty}$ v.Neumann Algebras and Connections to Quantum Gravity Unresolved cited work

Reference 44

Resolution
unresolved
raw_fallback, observed 2026-08-06T21:00:03.068182Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T20:59:59.927969Z digest=sha256:94ccc9ff338cf807d9a4613bc39b06a12b9b4bfb488d3a065729f3b6ca915bce

Observation 1bbbdee8-7694-482a-8133-30029cd3df42 · outbound

This paper cites an unresolved cited work.

The Crossed Product, Modular (Tomita) Dynamics and its Role in the Transition of Type $III$ to Type $II_{\infty}$ v.Neumann Algebras and Connections to Quantum Gravity Unresolved cited work

Reference 45

Resolution
unresolved
raw_fallback, observed 2026-08-06T21:00:02.907742Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T21:00:00.015630Z digest=sha256:2ed41fe298da43ab6a8e27d980ee8554c7af878e62653d1b88c4f4f521be6a48

Observation a7a22b31-1156-4629-b93d-77e262b1b8ed · outbound

This paper cites an unresolved cited work.

The Crossed Product, Modular (Tomita) Dynamics and its Role in the Transition of Type $III$ to Type $II_{\infty}$ v.Neumann Algebras and Connections to Quantum Gravity Unresolved cited work

Reference 46

Resolution
unresolved
raw_fallback, observed 2026-08-06T21:00:02.702866Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T21:00:00.133088Z digest=sha256:d17f589fdcf39707c6ecfa23915472f5fac2be8fd116dae61d4dc831e76c69a7

Observation bce24a1d-f15b-4cce-a815-a5e60c73425e · outbound

This paper cites an unresolved cited work.

The Crossed Product, Modular (Tomita) Dynamics and its Role in the Transition of Type $III$ to Type $II_{\infty}$ v.Neumann Algebras and Connections to Quantum Gravity Unresolved cited work

Reference 47

Resolution
unresolved
raw_fallback, observed 2026-08-06T21:00:02.541626Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T21:00:00.211152Z digest=sha256:1a0d0df4ca0bd05e9184942f484c81e6d6f7670be9b3cdc9f9d78c566137fb68

Observation 18e31b24-d69f-44f3-9c98-cd6de3c04b1f · outbound

This paper cites an unresolved cited work.

The Crossed Product, Modular (Tomita) Dynamics and its Role in the Transition of Type $III$ to Type $II_{\infty}$ v.Neumann Algebras and Connections to Quantum Gravity Unresolved cited work

Reference 48

Resolution
unresolved
raw_fallback, observed 2026-08-06T21:00:02.418515Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T21:00:00.261050Z digest=sha256:7faf2636da1d1b2f1af529402399d688ce2b4b9b1b7d32f708599255559bb2e8

Reference 49

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T21:00:02.210309Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T21:00:00.342464Z digest=sha256:642a5997ac82e1d4d0df118608a01d838667c5d294d952d7b6213450429499fa

Reference 50

Resolution
unresolved
no resolver link, observed 2026-08-06T21:00:00.411649Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T21:00:00.411649Z digest=sha256:78af776805652e726a8371936fd8fa932c0883677538f2da1f212015532b3d02

Reference 51

Resolution
unresolved
no resolver link, observed 2026-08-06T21:00:00.479971Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T21:00:00.479971Z digest=sha256:f9104c4fb7d488aeadc23255aa3564be39cde42989bff1425acdf07881508761

Reference 52

Resolution
metadata mismatch
local_arxiv, observed 2026-08-06T21:00:00.868963Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T21:00:00.578940Z digest=sha256:3dda6f0abb50c91842dd27554ba5a6f796db222f0b27d2bb75a70d45505061c6

Observation cc784621-fa4f-4036-9f22-8b78cb930e7f · outbound

This paper cites an unresolved cited work.

The Crossed Product, Modular (Tomita) Dynamics and its Role in the Transition of Type $III$ to Type $II_{\infty}$ v.Neumann Algebras and Connections to Quantum Gravity Unresolved cited work

Reference 53

Resolution
unresolved
raw_fallback, observed 2026-08-06T21:00:01.966877Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T21:00:00.654701Z digest=sha256:154c7764953bd726ff0531c59bc1f590292e286c34dc24ac741a93a6d4dcd83a

Pith citing papers

No inbound Pith citation observations are available.