Paper Citation Record · LEDGER

Modular Hamiltonians on the null plane and the Markov property of the vacuum state

As of 23 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 15 inbound Pith citation observations for arXiv:1703.10656.

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

pith.paper-citation-record.v1
1703.10656 v4

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 15 of 15 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-23T06:30:58.430688+00:00

measured 15 of 15 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-12T20:34:48.072466Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: arxiv_reference, observed 2026-05-25T20:07:08.351021Z

Reference resolution

0 of 0 outbound references displayed

verified exact0
verified fuzzy0
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External citation measurements

No source-named external measurement is stored.

Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation fcc529cf-fc8e-454e-ad91-6fcb50ddd950 · inbound

Entropy Variations and Light Ray Operators from Replica Defects cites this paper.

Entropy Variations and Light Ray Operators from Replica Defects Modular Hamiltonians on the null plane and the Markov property of the vacuum state

Reference 38

Resolution: verified exact; arxiv_id, observed 2026-05-25T20:07:08.355084Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 222be26d-a246-4dce-830b-17a68f39fcd8 · inbound

Irreversibility of quantum field theory in de Sitter: the C, F and A theorems cites this paper.

Irreversibility of quantum field theory in de Sitter: the C, F and A theorems Modular Hamiltonians on the null plane and the Markov property of the vacuum state

Reference 14

Resolution: verified exact; arxiv_id, observed 2026-05-23T17:13:14.219099Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation e3ec4158-639e-4954-9420-157188b6c053 · inbound

Petz-R\'enyi relative entropy in QFT from modular theory cites this paper.

Petz-R\'enyi relative entropy in QFT from modular theory Modular Hamiltonians on the null plane and the Markov property of the vacuum state

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-12T20:34:48.072466Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5730e64c-c3c3-419c-97b3-2f69537810b7 · inbound

Holographic Energy Correlators for Soft Walls cites this paper.

Holographic Energy Correlators for Soft Walls Modular Hamiltonians on the null plane and the Markov property of the vacuum state

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-11T23:22:00.462104Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2531cff2-9da6-494c-aaaf-194eedf43c8b · inbound

A geometric perspective on Algebraic Quantum Field Theory cites this paper.

A geometric perspective on Algebraic Quantum Field Theory Modular Hamiltonians on the null plane and the Markov property of the vacuum state

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-10T23:29:32.144918Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 01637760-f03a-45dc-806b-291f7d7978b3 · inbound

Relating the modular Hamiltonian to two-point functions cites this paper.

Relating the modular Hamiltonian to two-point functions Modular Hamiltonians on the null plane and the Markov property of the vacuum state

Reference 37

Resolution: unresolved; no resolver link, observed 2026-08-10T20:00:38.325793Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c63ca089-2e2e-42e8-bd49-d22f858bd4ed · inbound

Geometric modular flows in 2d CFT and beyond cites this paper.

Geometric modular flows in 2d CFT and beyond Modular Hamiltonians on the null plane and the Markov property of the vacuum state

Reference 92

Resolution: unresolved; no resolver link, observed 2026-08-09T11:44:45.972012Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 005b7764-0cbc-4dc1-be13-fe430f60a1a1 · inbound

A numerical analysis of Araki-Uhlmann relative entropy in Quantum Field Theory cites this paper.

A numerical analysis of Araki-Uhlmann relative entropy in Quantum Field Theory Modular Hamiltonians on the null plane and the Markov property of the vacuum state

Reference 40

Resolution: unresolved; no resolver link, observed 2026-08-07T20:33:55.335704Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6e961ddd-c000-4554-9d15-4d35879662a6 · inbound

Tests of restricted Quantum Focusing and a new CFT bound cites this paper.

Tests of restricted Quantum Focusing and a new CFT bound Modular Hamiltonians on the null plane and the Markov property of the vacuum state

Reference 71

Resolution: unresolved; no resolver link, observed 2026-08-04T09:45:26.454349Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5a98438c-443b-40ae-baa7-f6b3c954d4d7 · inbound

Curious QNEIs from QNEC: New Bounds on Null Energy in Quantum Field Theory cites this paper.

Curious QNEIs from QNEC: New Bounds on Null Energy in Quantum Field Theory Modular Hamiltonians on the null plane and the Markov property of the vacuum state

Reference 62

Resolution: verified exact; arxiv_id, observed 2026-05-18T03:32:21.574707Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 41ed1cb4-24cf-4943-ac34-55c68172e878 · inbound

Soft Algebras in AdS$_4$ from Light Ray Operators in CFT$_3$ cites this paper.

Soft Algebras in AdS$_4$ from Light Ray Operators in CFT$_3$ Modular Hamiltonians on the null plane and the Markov property of the vacuum state

Reference 22

Resolution: verified exact; arxiv_id, observed 2026-05-16T18:08:12.943578Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation b4bc42a2-6a32-4185-8713-813a70da175d · inbound

A general proof of integer R\'enyi QNEC cites this paper.

A general proof of integer R\'enyi QNEC Modular Hamiltonians on the null plane and the Markov property of the vacuum state

Reference 43

Resolution: verified exact; arxiv_id, observed 2026-05-19T15:52:38.194244Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 757ed1d6-87f1-413e-bff8-2914724f9b9a · inbound

Uniqueness of null-local modular flow cites this paper.

Uniqueness of null-local modular flow Modular Hamiltonians on the null plane and the Markov property of the vacuum state

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-01T09:52:38.738056Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ec016821-84b1-4ab7-9921-693b3de2f85a · inbound

Infinite Symmetry Algebras in Four-Dimensional Conformal Field Theories cites this paper.

Infinite Symmetry Algebras in Four-Dimensional Conformal Field Theories Modular Hamiltonians on the null plane and the Markov property of the vacuum state

Reference 43

Resolution: unresolved; no resolver link, observed 2026-08-03T00:22:51.771919Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cdb3205c-f0a6-4b85-8fa3-9aa6e925f021 · inbound

Rank matching in renormalization-group irreversibility: Exact defect and entropic tests cites this paper.

Rank matching in renormalization-group irreversibility: Exact defect and entropic tests Modular Hamiltonians on the null plane and the Markov property of the vacuum state

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-04T07:15:02.229643Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.