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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 9 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 2026-08-08T06:32:00.761636+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

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T20:59:56.600212Z digest=sha256:f2d1edb4bb84020dd756831906491fedb2c4f45b6acbc18532e9e39fc710075a

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

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T20:59:56.642729Z digest=sha256:0f1c90b9a7c15602478b6533d6301e80f5dd724989fb67b7a905e8118fcb8810

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T21:00:07.133132Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T20:59:56.689456Z digest=sha256:db38dc428c8cec750e71116cb93b98381c3e3d983152172257d0e7033f78b976

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T20:59:56.744690Z digest=sha256:ac3ad34cd50758a38d63085794e01977c94a29a47a1606d1606ca11601e8aec7

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

Resolution
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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T20:59:56.807743Z digest=sha256:3218a81cab61c1a518b1c30f912eb47c62d1bff3c6ede1be1e17b420f064546c

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
unresolved
raw_fallback, observed 2026-08-06T21:00:06.678000Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T20:59:56.873177Z digest=sha256:89f918d08a9ae9a474723cf39427ba341ede88e2b1ec3957b5532a75d0c01b21

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T20:59:56.998675Z digest=sha256:800e3ff50529318c34115ee1ef0b0de7417262a56a23e3b8f06191fc8ae7c0fd

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T20:59:57.079611Z digest=sha256:cc6163fbf0db093b848503d7bef69415e3a4e81d43b53ffb951e1eedb565580a

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

Resolution
unresolved
raw_fallback, observed 2026-08-06T21:00:06.240260Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T20:59:57.130551Z digest=sha256:6c57b1b0b487994b16e64df94cfa704ef26bab772265814a2d81b51aca8c2834

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T20:59:57.179999Z digest=sha256:bdc39ff16ce23567caba2f1d97ab2377c3e81f84a66fc82ba120670d583b01a4

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

Resolution
unresolved
raw_fallback, observed 2026-08-06T21:00:05.959366Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T20:59:57.225304Z digest=sha256:95f5d859b5f35426514892da696092ff5a6faf38439117573df7fa07e6887a19

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

Resolution
unresolved
raw_fallback, observed 2026-08-06T21:00:05.818540Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T20:59:57.296365Z digest=sha256:1c4956d604dfb9b9612149b0ab5b5de712bfbad0e54792f5e5faaf3464437aad

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.

source=pdf_text observed=2026-08-06T20:59:57.344067Z digest=sha256:e0ac17be8844d217f817bbb6d6409780d148c9cf7d4d78593859711d030b7745

Reference 15

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T20:59:57.404377Z digest=sha256:d06e8007a4cb8965b918884e4c9aea6372e122eb7c054a4c60565dc8d330eee3

Reference 16

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T20:59:57.457530Z digest=sha256:36d93d005896a8c3b07c7ba57b5eac7d7dd1d70e7ff20c5b6df58ec73b53f198

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T20:59:57.508660Z digest=sha256:c7cb8fdcbacdd966934df86b5461ac53d289b0cd41c4a837418cbb86b3f204a9

Reference 18

Resolution
unresolved
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:a81c97fadee059f2742cba35bb8bf019fea2d03246b1c3383535d195f7ca4dd9

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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unresolved
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:eb83adbd5b9c1497524c94bc5c8147ac2881a5e95ab0cf39fec9af4e1668cdc9

Reference 20

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T20:59:57.648377Z digest=sha256:5504cf5a6eba10745ad435f58432a81b0728fe1efd46512d08a366f730efbfec

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

Resolution
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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T20:59:57.712547Z digest=sha256:293e51340e4353867e82acb58f2eaec9064fd7b673e97bb1ac4775c8f6b1c1b8

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

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T20:59:57.764508Z digest=sha256:d648e11ebc37ab6abe02355f66a0fc4eb63600e03ed6cce47834c041dca91b6b

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T20:59:57.807030Z digest=sha256:9c77aa35a61ae7dc680c20fc92a5b6596a66da817b9b6380449de5d92fe7d46f

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T20:59:57.810189Z digest=sha256:f7a1e2993c5cef8a22373c5c2b4121f2b1b360b1f5f2c0656b93cd5f30dffaae

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

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T20:59:57.845654Z digest=sha256:ffbc09ba5e7009bb8c288208a7a224a2173000247124e1435c664920228dcfe7

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

Resolution
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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T20:59:58.024591Z digest=sha256:2063548670674b9d208fadf58d1cdca7ac588fc149f05866e80774dd3f2027e0

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

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T20:59:58.180561Z digest=sha256:dbd1d34e0864050a1939005ff12c5aa4dcf5ffcdc4c43b7b6686b8688a50d8a8

Reference 28

Resolution
unresolved
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:d9d9d51cf67c0595d5f4edf72455f915b93ea6bb6bb67262608ef6cd7e124627

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

Resolution
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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T20:59:58.496093Z digest=sha256:ff12a190874cc143b8245cf01016d3fcd074e63fe2d24a49b4dce855a57ccb62

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T20:59:58.644202Z digest=sha256:aa8f5502fcdda1f9da6f5b6a0fe2ba75b5f554326beb127c21d55a50eb8c55ae

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T20:59:58.892558Z digest=sha256:ce88d07c10c72727f052f747f900b0d9564818d59dc32ee15242ca4be18bf7a0

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T20:59:59.034386Z digest=sha256:2a25df04685b3c3a54d3a488f6f89f1be7a14a94db591799ad53e151b38f7f01

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T20:59:59.089997Z digest=sha256:990fe7f72143d1d637e3983c9b0b8326da94a77dc70c3de442780f8242d230c7

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T20:59:59.159482Z digest=sha256:86d2033934adc8734a18c70e2103b67bc42b5603478cceb54ed9ea5cefdff83f

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=sha256:12d234921dfe8ae419d1cd90cabdeecfda7bb31ca33c0bee0b018284ccc200c2

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

Resolution
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=sha256:4658b4d5d79558c105b20a7661a3e3091a2da6bf377fe14151f9430f62fa05ac

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T20:59:59.371045Z digest=sha256:5a44a80a8b284f0f8879c9a9395991072a521a246efb5c30927a203a4dfa797b

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T20:59:59.431433Z digest=sha256:07d2a3db6846c6cdf590ee2a7779ac18144335c3ebbbd2ab4ef7eb7f4b13b313

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T20:59:59.512346Z digest=sha256:beff7bd5ee999b26386662a84d6ecdfddeb901c95583875f6a7ab1f5bde83884

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T20:59:59.584102Z digest=sha256:194b8381318c8b44ddf2e34dc0d610dfddb3fec25db5b2f48fded85b59eb5fc5

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T20:59:59.660709Z digest=sha256:2ed19f2839d7d9628e9279bc6fcf544f949272d88365ced0fe1819384f5a4d7d

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T20:59:59.773493Z digest=sha256:548d17cf6c98c3890478f8dd2285e39a79e95628cfd4f57c9ac1c4b3ae57710e

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T20:59:59.860228Z digest=sha256:c73f6911767fddbb88112a8c8304de5e61adedefdb65349bc45b46b9115664d3

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T20:59:59.927969Z digest=sha256:c198d8f6a368e96e5bec1dae032a6c8d6853a747b240ad32c66ec5f940575822

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T21:00:00.015630Z digest=sha256:57d3016e347f9412d11169022bf74430571da5cb5560d2454116149355351b63

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T21:00:00.133088Z digest=sha256:5e0a68491704c725145730cf8af666c67d4d43d9e9b900d2f54e04c949ec55e0

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T21:00:00.211152Z digest=sha256:f7d0b3bc7047afff56eedee0239e2b3effed64745fb07b01c7a640c441a4315f

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T21:00:00.261050Z digest=sha256:1ced9d369da00105e15dd70d17fdf2176bbe3a88a96167b1aa376c74c08486b4

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T21:00:00.342464Z digest=sha256:65f688bba1441ca6a0e8af69d94671b3874096628d499a6d450e91e0f40c8153

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=sha256:448abddd99501d445c6fde04251f83052fe730d45cb3bf5115006af9171f476d

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=sha256:0e94ec5b44f04221ecaaada6fb106074df374d5af512e6efd4c35fe60f5da1df

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T21:00:00.578940Z digest=sha256:01b9a28b2117524301ab4de3a6b46cfdad9b3adc9ab612064e18c782f10d3d60

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T21:00:00.654701Z digest=sha256:25c0b6fdc61e66b08f5000b3f1e3441119bf9b32942f95b18279623c63c9f2d0

Pith citing papers

No inbound Pith citation observations are available.