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Paper Citation Record · LEDGER

Spacetime Density Matrix: Formalism and Properties

As of 15 August 2026, this Paper Citation Record lists 47 of 47 outbound references and 1 inbound Pith citation observation for arXiv:2508.20397.

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

pith.paper-citation-record.v1
2508.20397 v1

Coverage vector

measured 47 of 47 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T16:52:53.695602Z

measured 48 of 48 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-01T08:48:36.134750Z

measured 0 of 1 external citation measurements

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Source: cited_works

Reference resolution

47 of 47 outbound references displayed

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Outbound references

Observation 20c188c1-9e61-4695-947d-4886429d27ff · outbound

This paper cites PCT, spin and statistics, and all that,.

Spacetime Density Matrix: Formalism and Properties PCT, spin and statistics, and all that,

Reference 1

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source=pdf_text observed=2026-08-15T16:52:53.480562Z digest=sha256:8e5f0ca5f37eb09bed25a3d259340e05a18d96d95d1832d8f00b3c1c3c8f5745

Observation b17d9e66-1353-4056-9b70-1d3a71d44df7 · outbound

This paper cites Entanglement in Many-Body Systems.

Spacetime Density Matrix: Formalism and Properties Entanglement in Many-Body Systems

Reference 2

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source=pdf_text observed=2026-08-15T16:52:53.485969Z digest=sha256:58709be7e0ce658b9915d6b55cb936910fc7888df74f94f3cf6bf888eed88120

Observation c5aa6e14-be13-4d07-a371-c6a7a375c1f4 · outbound

This paper cites Entanglement entropy and conformal field theory.

Spacetime Density Matrix: Formalism and Properties Entanglement entropy and conformal field theory

Reference 3

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source=pdf_text observed=2026-08-15T16:52:53.491172Z digest=sha256:7f1e24713b7be12a6f76eb387913eaa408e8764d8645b3fcedda943a624e5ec6

Observation 8d513e4a-9bfd-46a5-aee4-c923c0e4e412 · outbound

This paper cites Emergent Holographic Spacetime from Quantum Information.

Spacetime Density Matrix: Formalism and Properties Emergent Holographic Spacetime from Quantum Information

Reference 4

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Observation 646d2e13-35f5-4768-92da-39beccda82aa · outbound

This paper cites Observable and computable entanglement in time,.

Spacetime Density Matrix: Formalism and Properties Observable and computable entanglement in time,

Reference 5

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source=pdf_text observed=2026-08-15T16:52:53.500961Z digest=sha256:2899626911a1bddafffd7b226c507789edaf16412aaf9049ed9f3d6ef4b75bc4

Observation ae6901ee-9d66-4b5b-83bd-52e5a4c185db · outbound

This paper cites Superdensity Operators for Spacetime Quantum Mechanics.

Spacetime Density Matrix: Formalism and Properties Superdensity Operators for Spacetime Quantum Mechanics

Reference 6

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source=pdf_text observed=2026-08-15T16:52:53.505996Z digest=sha256:4676acf413096fba93fd2dfa5b0d9ea1c14b8ae06eaf691c133de1e41c175e01

Observation 43743636-8641-4f33-8974-662f765c5ab3 · outbound

This paper cites Entanglement between the future and past in the quantum vacuum.

Spacetime Density Matrix: Formalism and Properties Entanglement between the future and past in the quantum vacuum

Reference 7

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source=pdf_text observed=2026-08-15T16:52:53.511092Z digest=sha256:934c225370ee74eee73216c2f71a2e96b76d3ee1349de16145540bd8b9e3499c

Observation 6ba0d809-dca4-450e-9817-cca1932bce44 · outbound

This paper cites Pseudo Entropy in dS/CFT and Time-like Entanglement Entropy.

Spacetime Density Matrix: Formalism and Properties Pseudo Entropy in dS/CFT and Time-like Entanglement Entropy

Reference 8

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source=pdf_text observed=2026-08-15T16:52:53.516947Z digest=sha256:1c23644576e59da2e00ef5d38311a8ae0a43583481a18656166c672159c754d2

Observation dfc670db-9593-4e0d-8500-654528fe906b · outbound

This paper cites Holographic Derivation of Entanglement Entropy from AdS/CFT.

Spacetime Density Matrix: Formalism and Properties Holographic Derivation of Entanglement Entropy from AdS/CFT

Reference 9

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source=pdf_text observed=2026-08-15T16:52:53.524609Z digest=sha256:0df1ebf3f8232b45c69420d952c4bc53ac78a0ac22b5b5eae10f188a5fd9252f

Observation b8dbf0d6-30a7-441a-a72c-9d21af9956b8 · outbound

This paper cites A Covariant Holographic Entanglement Entropy Proposal.

Spacetime Density Matrix: Formalism and Properties A Covariant Holographic Entanglement Entropy Proposal

Reference 10

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Observation b4bef8b4-f978-451d-b6fc-1c6df0232b38 · outbound

This paper cites Building up spacetime with quantum entanglement.

Spacetime Density Matrix: Formalism and Properties Building up spacetime with quantum entanglement

Reference 11

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source=pdf_text observed=2026-08-15T16:52:53.535623Z digest=sha256:09eb1ced66a2e1103c1bbea7a77d9c9a364b79c33ff17d61cada822656d79ffe

Observation 91f46762-3e04-4800-9cce-aa0d4da74e23 · outbound

This paper cites Entanglement Renormalization and Holography.

Spacetime Density Matrix: Formalism and Properties Entanglement Renormalization and Holography

Reference 12

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source=pdf_text observed=2026-08-15T16:52:53.540797Z digest=sha256:556432e3525fdf461cddac037bb299d13a767886a9bf458fee04c8cd243120e5

Observation 1c6119a5-c2e6-47c9-a791-0e00372787d6 · outbound

This paper cites Bulk Locality and Quantum Error Correction in AdS/CFT.

Spacetime Density Matrix: Formalism and Properties Bulk Locality and Quantum Error Correction in AdS/CFT

Reference 13

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source=pdf_text observed=2026-08-15T16:52:53.545476Z digest=sha256:422485a18b634d40da0b7784f034692397011971703b5c036a9ed0cd44ab5a1e

Observation 334f1d8f-7f1d-475f-a86d-8269ff8be43d · outbound

This paper cites Relative entropy equals bulk relative entropy.

Spacetime Density Matrix: Formalism and Properties Relative entropy equals bulk relative entropy

Reference 14

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source=pdf_text observed=2026-08-15T16:52:53.550780Z digest=sha256:c978e263b1a10b0d375ca5a3d6480c9b8ee32208938a942c81d2e7c89b7b484c

Observation 0bb93576-5883-4546-bc0e-5ab93b929a82 · outbound

This paper cites Reconstruction of Bulk Operators within the Entanglement Wedge in Gauge-Gravity Duality.

Spacetime Density Matrix: Formalism and Properties Reconstruction of Bulk Operators within the Entanglement Wedge in Gauge-Gravity Duality

Reference 15

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source=pdf_text observed=2026-08-15T16:52:53.555567Z digest=sha256:af2e1526ddd22f153aeaef0c8c995eb449641553aa839d0e4935a7a80836914e

Observation 147e70fe-bbb0-4160-b5e8-fb26830485a9 · outbound

This paper cites Quantum Extremal Surfaces: Holographic Entanglement Entropy beyond the Classical Regime.

Spacetime Density Matrix: Formalism and Properties Quantum Extremal Surfaces: Holographic Entanglement Entropy beyond the Classical Regime

Reference 16

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source=pdf_text observed=2026-08-15T16:52:53.559989Z digest=sha256:414952e689c6b41bcdcd6aa8a5124bd525ececbd8d3c4f652931fc69159c3d15

Observation bb09fabe-f7cd-4dc3-9313-7c631df02d34 · outbound

This paper cites Entanglement Wedge Reconstruction and the Information Paradox.

Spacetime Density Matrix: Formalism and Properties Entanglement Wedge Reconstruction and the Information Paradox

Reference 17

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source=pdf_text observed=2026-08-15T16:52:53.564917Z digest=sha256:c8f6c1dc28a04de5ab122e0b4cc4fdc28cab33cd3719d3f28a5a9a1f7ab401f7

Observation 4be926db-9021-461f-8eff-d46dcb0688df · outbound

This paper cites The entropy of bulk quantum fields and the entanglement wedge of an evaporating black hole.

Spacetime Density Matrix: Formalism and Properties The entropy of bulk quantum fields and the entanglement wedge of an evaporating black hole

Reference 18

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source=pdf_text observed=2026-08-15T16:52:53.569897Z digest=sha256:ce56a066499e911e47277515194ce95d9c9d8905d4a66467127e6f44e7881299

Observation 1d56651a-2c10-4056-a2e4-e97dd7fe9bbb · outbound

This paper cites Replica wormholes and the black hole interior.

Spacetime Density Matrix: Formalism and Properties Replica wormholes and the black hole interior

Reference 19

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source=pdf_text observed=2026-08-15T16:52:53.574222Z digest=sha256:244fe79d3e1a53e494250ce53781caca1c01986a5927bf050a2a21537883f21f

Observation 6d528f22-1ef0-49f3-b9af-6a37bd955968 · outbound

This paper cites Replica Wormholes and the Entropy of Hawking Radiation.

Spacetime Density Matrix: Formalism and Properties Replica Wormholes and the Entropy of Hawking Radiation

Reference 20

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source=pdf_text observed=2026-08-15T16:52:53.578932Z digest=sha256:7d5d7568e932dbf27e9c2b1b5282c6275880e0339f0a3a9dbfd90438fa0cf75b

Observation 2950fa9b-c8b9-4052-aaa3-eb2cbff324b3 · outbound

This paper cites The entropy of Hawking radiation.

Spacetime Density Matrix: Formalism and Properties The entropy of Hawking radiation

Reference 21

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source=pdf_text observed=2026-08-15T16:52:53.583290Z digest=sha256:3ab0f56d627dd93f45f3c1b9c75b43439a08033de25eab0e8389ddfe36152ae4

Observation 4b1b1413-1bca-4879-bdeb-c2a95f58308a · outbound

This paper cites Brownian motion of a quantum oscillator,.

Spacetime Density Matrix: Formalism and Properties Brownian motion of a quantum oscillator,

Reference 22

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source=pdf_text observed=2026-08-15T16:52:53.587420Z digest=sha256:70c14cdddf2ba4cdd475f82e9e236a85063f74e919adeb1cab6b4fc3f5da63bc

Observation 765287fe-ebd6-410e-a61d-c1547e9b6c8a · outbound

This paper cites The Theory of a general quantum system interacting with a linear dissipative system,.

Spacetime Density Matrix: Formalism and Properties The Theory of a general quantum system interacting with a linear dissipative system,

Reference 23

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source=pdf_text observed=2026-08-15T16:52:53.591479Z digest=sha256:56c08cc14927047581bbaa99992cc51a169f7064bf96b3bb4bce6eb9b76dc7ac

Observation 2561d1b9-1d8e-4104-aecb-ea2d240d1034 · outbound

This paper cites Diagram Technique for Nonequilibrium Processes,.

Spacetime Density Matrix: Formalism and Properties Diagram Technique for Nonequilibrium Processes,

Reference 24

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source=pdf_text observed=2026-08-15T16:52:53.595278Z digest=sha256:cbb29658db30a46b459f834679e395601197453e70bc1232fdbab0870195e8f9

Observation ae901871-c6fa-4b7f-99fb-d5a364916052 · outbound

This paper cites Deriving covariant holographic entanglement.

Spacetime Density Matrix: Formalism and Properties Deriving covariant holographic entanglement

Reference 25

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source=pdf_text observed=2026-08-15T16:52:53.599179Z digest=sha256:750d48d0b108e607ceca27c9f3764cc77d3183e17829f0e4b12b9c95c609e616

Observation a1cf1eee-c38e-4e66-b9b2-be834ad21c04 · outbound

This paper cites Records from the S-Matrix Marathon: Schwinger-Keldysh Formalism.

Spacetime Density Matrix: Formalism and Properties Records from the S-Matrix Marathon: Schwinger-Keldysh Formalism

Reference 26

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source=pdf_text observed=2026-08-15T16:52:53.603612Z digest=sha256:d0b94059352a8cf820fe37f62af7ff9f8ce1a19438b01bd82176fdc4e377e9aa

Observation 73301d23-46cb-4e3f-a5b6-ecdac26faabf · outbound

This paper cites Real-time gravitational replicas: Formalism and a variational principle.

Spacetime Density Matrix: Formalism and Properties Real-time gravitational replicas: Formalism and a variational principle

Reference 27

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source=pdf_text observed=2026-08-15T16:52:53.608002Z digest=sha256:e9fe238bea0c1a8d53c5671bcaffd90912ed01e474537ed02871a2f11c829cc5

Observation e47a6824-6fef-49fe-9d0b-3fa42ed3a9a4 · outbound

This paper cites Real-time gravitational replicas: Low dimensional examples.

Spacetime Density Matrix: Formalism and Properties Real-time gravitational replicas: Low dimensional examples

Reference 28

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source=pdf_text observed=2026-08-15T16:52:53.612659Z digest=sha256:938fa3cb7abfc7ae67fd934a3ae9f00276271579d5c0030cb1b1dbe68b5c070d

Observation 6dde8393-2b4e-4697-a451-1f446de5af31 · outbound

This paper cites Holographic Pseudo Entropy.

Spacetime Density Matrix: Formalism and Properties Holographic Pseudo Entropy

Reference 29

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source=pdf_text observed=2026-08-15T16:52:53.617002Z digest=sha256:6db5b680066e8d8dd6f7a9929b4198ae5bc0e607f44b4a8e9a6e977aa49d9615

Observation 88e9bd1c-10cc-4ddc-a0d4-dae0dd879fef · outbound

This paper cites Entanglement measures for causally connected subregions and holography.

Spacetime Density Matrix: Formalism and Properties Entanglement measures for causally connected subregions and holography

Reference 30

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source=pdf_text observed=2026-08-15T16:52:53.622191Z digest=sha256:e7075bc5b646acd211568cff26a94831db777c4927aa1e238515d59c8a160ab6

Observation 97ddb1f0-6347-45f8-bf07-593624af5c81 · outbound

This paper cites How the result of a measurement of a component of the spin of a spin-1/2 particle can turn out to be 100,.

Spacetime Density Matrix: Formalism and Properties How the result of a measurement of a component of the spin of a spin-1/2 particle can turn out to be 100,

Reference 31

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source=pdf_text observed=2026-08-15T16:52:53.626952Z digest=sha256:b486e35b4585741465ad8b70ca1c657df37e960f35d8570cf977b0ca287c549a

Observation 4b8fa7ba-c130-4334-bbe9-e70d75698121 · outbound

This paper cites Colloquium: Understanding Quantum Weak Values: Basics and Applications.

Spacetime Density Matrix: Formalism and Properties Colloquium: Understanding Quantum Weak Values: Basics and Applications

Reference 32

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source=pdf_text observed=2026-08-15T16:52:53.631513Z digest=sha256:bceac4bc8baed253f3aac35d286ddf73110ecaf2a9c440966d946fdc89c80ae9

Observation 2489fc5a-7a06-4d32-88eb-cf3f8ff1eb42 · outbound

This paper cites PseudoHermiticity versus PT symmetry. The necessary condition for the reality of the spectrum,.

Spacetime Density Matrix: Formalism and Properties PseudoHermiticity versus PT symmetry. The necessary condition for the reality of the spectrum,

Reference 33

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source=pdf_text observed=2026-08-15T16:52:53.635684Z digest=sha256:5b5835d83491c89100da42ccd7e4f1c66a51f24e7f4ac41c6f138f5acab0e23e

Observation 061f51ca-a293-45e9-a887-ce1b55cbf36a · outbound

This paper cites Constructible reality condition of pseudo entropy via pseudo-Hermiticity.

Spacetime Density Matrix: Formalism and Properties Constructible reality condition of pseudo entropy via pseudo-Hermiticity

Reference 34

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Observation ef1540df-72b2-4d9f-98ab-11ce1ec31728 · outbound

This paper cites SVD Entanglement Entropy.

Spacetime Density Matrix: Formalism and Properties SVD Entanglement Entropy

Reference 35

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source=pdf_text observed=2026-08-15T16:52:53.643807Z digest=sha256:482566cdcc5d5aa4dd2a4334ac3c2947846ba9cbce80ec8caf4206a416ec64b2

Observation 1adb46e1-cfee-408a-a11b-cf3513562f91 · outbound

This paper cites Spectral Projections for Density Matrices in Quantum Field Theories.

Spacetime Density Matrix: Formalism and Properties Spectral Projections for Density Matrices in Quantum Field Theories

Reference 36

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source=pdf_text observed=2026-08-15T16:52:53.647962Z digest=sha256:8291fa562de9d51b13f0343e869d8f4c5672cda03082bbdd2f5b5fd31c5acd96

Observation d1fbb31e-3d2a-4ee9-89eb-7dc5f7a96a9c · outbound

This paper cites Eternal Black Holes in AdS.

Spacetime Density Matrix: Formalism and Properties Eternal Black Holes in AdS

Reference 37

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source=pdf_text observed=2026-08-15T16:52:53.652496Z digest=sha256:94dbb244d95b94c0e1de820197687ee9256c1a7e21df8ec8040dd2dba8e7d52e

Observation 8303c38b-6bd1-4a39-b113-a3f27e97923a · outbound

This paper cites Cool horizons for entangled black holes.

Spacetime Density Matrix: Formalism and Properties Cool horizons for entangled black holes

Reference 38

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Observation 9fa958fc-7808-46b9-9e6f-c4779a7ec89b · outbound

This paper cites Time Evolution of Entanglement Entropy from Black Hole Interiors.

Spacetime Density Matrix: Formalism and Properties Time Evolution of Entanglement Entropy from Black Hole Interiors

Reference 39

Resolution
unresolved
no resolver link, observed 2026-08-15T16:52:53.661127Z

Source-reported events for the cited work

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Observation e275ff72-3905-490d-8384-3cf8d331aea0 · outbound

This paper cites Complexity and Shock Wave Geometries.

Spacetime Density Matrix: Formalism and Properties Complexity and Shock Wave Geometries

Reference 40

Resolution
unresolved
no resolver link, observed 2026-08-15T16:52:53.665709Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 973fbd80-0c12-4bee-be65-0900b502b14b · outbound

This paper cites Complexity Equals Action.

Spacetime Density Matrix: Formalism and Properties Complexity Equals Action

Reference 41

Resolution
unresolved
no resolver link, observed 2026-08-15T16:52:53.670506Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T16:52:53.670506Z digest=sha256:640f47e9f82b61edb0824fa46130afcd69d7d343d4afe9b35f59ca837f5234c2

Observation 40a9ba3e-9140-4bd3-927c-d7778c9f38e1 · outbound

This paper cites Traversable Wormholes via a Double Trace Deformation.

Spacetime Density Matrix: Formalism and Properties Traversable Wormholes via a Double Trace Deformation

Reference 42

Resolution
unresolved
no resolver link, observed 2026-08-15T16:52:53.675496Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T16:52:53.675496Z digest=sha256:e6635caaa97d442039f30b33912effeb869389e40c49d1bc6882bd4378bc30a3

Observation 4678da1e-1f11-40ce-b8d2-994d14dfb56d · outbound

This paper cites an unresolved cited work.

Spacetime Density Matrix: Formalism and Properties Unresolved cited work

Reference 43

Resolution
unresolved
raw_fallback, observed 2026-08-15T16:52:54.445097Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation e0505a27-b136-47af-9dd8-8561af3a18c6 · outbound

This paper cites Quantum quenches in 1+1 dimensional conformal field theories.

Spacetime Density Matrix: Formalism and Properties Quantum quenches in 1+1 dimensional conformal field theories

Reference 44

Resolution
unresolved
no resolver link, observed 2026-08-15T16:52:53.683674Z

Source-reported events for the cited work

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Observation ffa8fef6-7c57-42fa-9243-f2f638f545cc · outbound

This paper cites an unresolved cited work.

Spacetime Density Matrix: Formalism and Properties Unresolved cited work

Reference 45

Resolution
unresolved
raw_fallback, observed 2026-08-15T16:52:54.429696Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 334a47ce-1982-428f-8eca-85b544923c6d · outbound

This paper cites an unresolved cited work.

Spacetime Density Matrix: Formalism and Properties Unresolved cited work

Reference 46

Resolution
unresolved
raw_fallback, observed 2026-08-15T16:52:54.415752Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 524428ba-3c60-4640-819e-3fcf9c6c4112 · outbound

This paper cites an unresolved cited work.

Spacetime Density Matrix: Formalism and Properties Unresolved cited work

Reference 47

Resolution
unresolved
raw_fallback, observed 2026-08-15T16:52:54.402320Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-15T16:52:53.695602Z digest=sha256:d1b49364ec5c17f788d935a98f5e3aecab0a9bdef0e99e636f9fd3d424b981cf

Pith citing papers

Observation eb71ba2f-1647-4a20-b6c7-5d723eddf7f9 · inbound

Selecting Complex Extremal Surfaces with the Kontsevich--Segal--Witten Criterion cites this paper.

Selecting Complex Extremal Surfaces with the Kontsevich--Segal--Witten Criterion Spacetime Density Matrix: Formalism and Properties

Reference 28

Resolution
unresolved
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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