Paper Citation Record · LEDGER

Spacetime granularity from finite-dimensionality of local observable algebras

As of 14 August 2026, this Paper Citation Record lists 42 of 42 outbound references and 0 inbound Pith citation observations for arXiv:1908.09293.

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

pith.paper-citation-record.v1
1908.09293 v3

Coverage vector

measured 42 of 42 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-14T11:32:15.679800Z

measured 42 of 42 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+00:00

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Pith citing papers itemized under the disclosed page cap.

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Source: cited_works

Reference resolution

42 of 42 outbound references displayed

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unresolved27
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External citation measurements

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Outbound references

Observation 3cb0b010-97c0-4c54-a840-921868421722 · outbound

This paper cites The Hilbert Space of Quantum Gravity Is Locally Finite-Dimensional.

Spacetime granularity from finite-dimensionality of local observable algebras The Hilbert Space of Quantum Gravity Is Locally Finite-Dimensional

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-14T11:32:15.515517Z

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Observation 7fcd3960-7b7c-486e-9335-b59cf331d3ba · outbound

This paper cites an unresolved cited work.

Spacetime granularity from finite-dimensionality of local observable algebras Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-14T11:32:16.233586Z

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Observation a6aeb3f0-025c-40e3-9d2a-cc8585dd39b2 · outbound

This paper cites an unresolved cited work.

Spacetime granularity from finite-dimensionality of local observable algebras Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-14T11:32:16.222215Z

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Observation 7b3e91b6-580f-4366-b980-056a29d992c1 · outbound

This paper cites A Covariant Entropy Conjecture.

Spacetime granularity from finite-dimensionality of local observable algebras A Covariant Entropy Conjecture

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-14T11:32:15.528401Z

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Observation 1240eb4d-d91c-4a8f-8bea-ec160965de60 · outbound

This paper cites The Holographic Principle for General Backgrounds.

Spacetime granularity from finite-dimensionality of local observable algebras The Holographic Principle for General Backgrounds

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-14T11:32:15.532452Z

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Observation 4c455140-7c0c-44a0-952f-f4fbda4777ef · outbound

This paper cites Thermodynamics of Spacetime: The Einstein Equation of State.

Spacetime granularity from finite-dimensionality of local observable algebras Thermodynamics of Spacetime: The Einstein Equation of State

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-14T11:32:15.537536Z

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Observation 785fadd8-b2fc-4ba9-b58c-acff61d99ac7 · outbound

This paper cites Gravitation and vacuum entanglement entropy.

Spacetime granularity from finite-dimensionality of local observable algebras Gravitation and vacuum entanglement entropy

Reference 8

Resolution: verified exact; local_arxiv, observed 2026-08-14T11:32:16.028159Z

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Observation 7f13bdfd-0ef3-4fc8-b79f-0c7659c1e284 · outbound

This paper cites Spacetime Equilibrium at Negative Temperature and the Attraction of Gravity.

Spacetime granularity from finite-dimensionality of local observable algebras Spacetime Equilibrium at Negative Temperature and the Attraction of Gravity

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-14T11:32:15.549853Z

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Observation 8796eca0-de4a-488f-bdf4-b0bfaa8d4233 · outbound

This paper cites The Necessity of the Hadamard Condition.

Spacetime granularity from finite-dimensionality of local observable algebras The Necessity of the Hadamard Condition

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-14T11:32:15.553287Z

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Observation 32209a3c-4651-4843-8a31-229753bded2c · outbound

This paper cites an unresolved cited work.

Spacetime granularity from finite-dimensionality of local observable algebras Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-08-14T11:32:16.210748Z

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Observation c0f48f77-ebf2-4a07-b91c-52bc101e4811 · outbound

This paper cites Modern tests of Lorentz invariance.

Spacetime granularity from finite-dimensionality of local observable algebras Modern tests of Lorentz invariance

Reference 12

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Observation 78de1022-6be2-4052-90a4-dd2f89843f73 · outbound

This paper cites The World as a Hologram.

Spacetime granularity from finite-dimensionality of local observable algebras The World as a Hologram

Reference 13

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Observation 3a660c90-1217-404e-9a39-f0d5891ffe34 · outbound

This paper cites Positive vacuum energy and the N-bound.

Spacetime granularity from finite-dimensionality of local observable algebras Positive vacuum energy and the N-bound

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-14T11:32:15.567737Z

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Observation f65d52d0-a4ab-475a-a51f-32945074a603 · outbound

This paper cites Local Lorentz covariance in finite-dimensional Local Quantum Physics.

Spacetime granularity from finite-dimensionality of local observable algebras Local Lorentz covariance in finite-dimensional Local Quantum Physics

Reference 15

Resolution: verified exact; local_arxiv, observed 2026-08-14T11:32:15.955216Z

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Observation ea448a0c-fedc-4374-9ee4-7817121d2dfe · outbound

This paper cites Gravitational Observables and Local Symmetries.

Spacetime granularity from finite-dimensionality of local observable algebras Gravitational Observables and Local Symmetries

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-14T11:32:15.575442Z

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Observation d980f86e-d0d5-48d8-8bb7-a121855e8a4f · outbound

This paper cites Emergent Gravity requires (kinematic) non-locality.

Spacetime granularity from finite-dimensionality of local observable algebras Emergent Gravity requires (kinematic) non-locality

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-14T11:32:15.579567Z

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Observation 5aabc1fb-8948-48f0-981e-28b39bec56e0 · outbound

This paper cites Hilbert space structure in quantum gravity: an algebraic perspective.

Spacetime granularity from finite-dimensionality of local observable algebras Hilbert space structure in quantum gravity: an algebraic perspective

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-14T11:32:15.583185Z

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Observation c418e3c2-0e33-45d5-a23f-9b75749e89da · outbound

This paper cites Observables, gravitational dressing, and obstructions to locality and subsystems.

Spacetime granularity from finite-dimensionality of local observable algebras Observables, gravitational dressing, and obstructions to locality and subsystems

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-14T11:32:15.587224Z

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Observation d314d822-21f5-4d18-b375-cedb048af64e · outbound

This paper cites Challenges for Emergent Gravity.

Spacetime granularity from finite-dimensionality of local observable algebras Challenges for Emergent Gravity

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-14T11:32:15.591130Z

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Observation 6e7a8b16-5821-44f6-a3e8-a2cbfb5b161d · outbound

This paper cites Partial observables.

Spacetime granularity from finite-dimensionality of local observable algebras Partial observables

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-14T11:32:15.594919Z

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Observation 2d7e876b-a44c-4930-862d-92a0df15be5b · outbound

This paper cites The generally covariant locality principle -- A new paradigm for local quantum physics.

Spacetime granularity from finite-dimensionality of local observable algebras The generally covariant locality principle -- A new paradigm for local quantum physics

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-14T11:32:15.598615Z

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Observation 1349d5de-9263-492b-95a3-1b8d7b58e6ed · outbound

This paper cites Bannier, Intrinsic algebraic characterization of space-time structure, Int.

Spacetime granularity from finite-dimensionality of local observable algebras Bannier, Intrinsic algebraic characterization of space-time structure, Int

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:32:16.199444Z

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Observation d2b13a55-ab6c-4f4e-b2a2-cfb1539fd5e1 · outbound

This paper cites Keyl, Causal spaces, causal complements and their relation s to quantum ﬁeld theory, Rev.

Spacetime granularity from finite-dimensionality of local observable algebras Keyl, Causal spaces, causal complements and their relation s to quantum ﬁeld theory, Rev

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:32:16.187546Z

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Observation b944e312-d4bc-457e-a8c8-732435a2ac28 · outbound

This paper cites Keyl, How to describe the space-time structure with nets of C∗-algebras, Int.

Spacetime granularity from finite-dimensionality of local observable algebras Keyl, How to describe the space-time structure with nets of C∗-algebras, Int

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:32:16.175910Z

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Observation 4e0ceddd-4f63-496e-9aeb-0a926e7d2ed9 · outbound

This paper cites Quantum Geometry as a Relational Construct.

Spacetime granularity from finite-dimensionality of local observable algebras Quantum Geometry as a Relational Construct

Reference 26

Resolution: verified exact; local_arxiv, observed 2026-08-14T11:32:15.864342Z

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Observation 93ff6c30-2904-47c3-9877-3bc849766bf5 · outbound

This paper cites On Deriving Space-Time From Quantum Observables and States.

Spacetime granularity from finite-dimensionality of local observable algebras On Deriving Space-Time From Quantum Observables and States

Reference 27

Resolution: verified exact; local_arxiv, observed 2026-08-14T11:32:15.849697Z

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Observation 103ddf88-a7ef-4e9e-b4fd-b42b11571abb · outbound

This paper cites Modular Theory, Non-Commutative Geometry and Quantum Gravity.

Spacetime granularity from finite-dimensionality of local observable algebras Modular Theory, Non-Commutative Geometry and Quantum Gravity

Reference 28

Resolution: verified exact; local_arxiv, observed 2026-08-14T11:32:15.834466Z

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Observation e7f1c0f4-d8f7-45f7-96e8-30c7799a56a0 · outbound

This paper cites Operational Geometry on de Sitter Spacetime.

Spacetime granularity from finite-dimensionality of local observable algebras Operational Geometry on de Sitter Spacetime

Reference 29

Resolution: verified exact; local_arxiv, observed 2026-08-14T11:32:15.817879Z

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Observation c2ec7e15-7366-4430-a8eb-558457d5607e · outbound

This paper cites Space from Hilbert Space: Recovering Geometry from Bulk Entanglement.

Spacetime granularity from finite-dimensionality of local observable algebras Space from Hilbert Space: Recovering Geometry from Bulk Entanglement

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-14T11:32:15.628530Z

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Observation 1529be12-458c-417e-a335-f559b80ef09a · outbound

This paper cites Spacetime-Free Approach to Quantum Theory and Effective Spacetime Structure.

Spacetime granularity from finite-dimensionality of local observable algebras Spacetime-Free Approach to Quantum Theory and Effective Spacetime Structure

Reference 31

Resolution: verified exact; local_arxiv, observed 2026-08-14T11:32:15.788314Z

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Observation 96aad6a9-9691-42db-9c7f-8bb9b2551232 · outbound

This paper cites Locality from the Spectrum.

Spacetime granularity from finite-dimensionality of local observable algebras Locality from the Spectrum

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-14T11:32:15.636241Z

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Observation 47e1d35f-8faf-4d04-9a9c-1e54c476e70c · outbound

This paper cites Algebraic Quantum Field Theory -- an introduction.

Spacetime granularity from finite-dimensionality of local observable algebras Algebraic Quantum Field Theory -- an introduction

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-14T11:32:15.640132Z

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Observation 714dc93d-f8c0-4527-97c2-a7cba0a1bfb3 · outbound

This paper cites Haag, Local Quantum Physics: Fields, Particles, Algebras , Springer, 1996.

Spacetime granularity from finite-dimensionality of local observable algebras Haag, Local Quantum Physics: Fields, Particles, Algebras , Springer, 1996

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:32:16.163196Z

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Observation 6fe6ee0e-0550-4391-ad8d-5aa4892ea098 · outbound

This paper cites B¨ ar and K.

Spacetime granularity from finite-dimensionality of local observable algebras B¨ ar and K

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:32:16.150627Z

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Observation f1f64a16-3c22-44af-8715-577ad20339bc · outbound

This paper cites Buchholz, C.

Spacetime granularity from finite-dimensionality of local observable algebras Buchholz, C

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:32:16.137575Z

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Observation 2c80908a-db06-4b41-a638-deb8a1988a0f · outbound

This paper cites Birkhoﬀ, Lattice theory, American Mathematical Society, 1948.

Spacetime granularity from finite-dimensionality of local observable algebras Birkhoﬀ, Lattice theory, American Mathematical Society, 1948

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:32:16.125166Z

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Observation 51d83b33-a772-427b-94ac-f2e3454eaaf5 · outbound

This paper cites an unresolved cited work.

Spacetime granularity from finite-dimensionality of local observable algebras Unresolved cited work

Reference 38

Resolution: unresolved; raw_fallback, observed 2026-08-14T11:32:16.111450Z

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Observation 2aa74b62-8d16-4ebb-9ef7-d9445f0e5271 · outbound

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Spacetime granularity from finite-dimensionality of local observable algebras Unresolved cited work

Reference 39

Resolution: unresolved; raw_fallback, observed 2026-08-14T11:32:16.099366Z

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Observation d1ca82ce-ee59-4114-9bcf-39d559cca9d4 · outbound

This paper cites Picado and A.

Spacetime granularity from finite-dimensionality of local observable algebras Picado and A

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:32:16.084756Z

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Observation b079b740-63b5-4b5b-acd3-02173b9edbe6 · outbound

This paper cites De Sitter Holography with a Finite Number of States.

Spacetime granularity from finite-dimensionality of local observable algebras De Sitter Holography with a Finite Number of States

Reference 41

Resolution: unresolved; no resolver link, observed 2026-08-14T11:32:15.670686Z

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Observation 40532f15-595c-4924-b734-c2b349bb27de · outbound

This paper cites Modeling Position and Momentum in Finite-Dimensional Hilbert Spaces via Generalized Pauli Operators.

Spacetime granularity from finite-dimensionality of local observable algebras Modeling Position and Momentum in Finite-Dimensional Hilbert Spaces via Generalized Pauli Operators

Reference 42

Resolution: unresolved; no resolver link, observed 2026-08-14T11:32:15.675257Z

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Observation f8136df2-68cd-4b14-960a-549be1d2dc12 · outbound

This paper cites How Low Can Vacuum Energy Go When Your Fields Are Finite-Dimensional?.

Spacetime granularity from finite-dimensionality of local observable algebras How Low Can Vacuum Energy Go When Your Fields Are Finite-Dimensional?

Reference 43

Resolution: unresolved; no resolver link, observed 2026-08-14T11:32:15.679800Z

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Pith citing papers

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