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Paper Citation Record · LEDGER

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

As of 9 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 11 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 11 of 11 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+00:00

measured 11 of 11 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-09T11:44:45.972012Z

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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  • malformed identifier0
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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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-25T20:04:22.974815Z digest=sha256:a7eec361f5c8f9772a56102cf6eb5046d2c1714bdcaac071f264dd1bf2fe23df

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-23T17:08:54.072444Z digest=sha256:4ba35250bcdfe65c72891f5da35529ad4071c02bda51713d0d9dbd1a10679bba

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.

source=pdf_text observed=2026-08-09T11:44:45.972012Z digest=sha256:38e56d30871232d5e3e087e7f172d25fbe0482942a2064ebad908201a60e12d4

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.

source=pdf_text observed=2026-08-07T20:33:55.335704Z digest=sha256:13e1cfa17e25dbc8a683f31ec5d3295506ddc1f953f819c4d9cb26b46d295a3f

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.

source=pdf_text observed=2026-08-04T09:45:26.454349Z digest=sha256:58ac88b23bef899f42ae5add859862fcd92bc0ba210bf637f4df86fcea8f120d

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-18T03:31:18.079928Z digest=sha256:6e266f711beaae34270b6bc2ccd64647f198983c9de9fef07c3101705205907b

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-16T18:04:48.184265Z digest=sha256:d25679c6e186be273363b6a518dddc2b1f08e345dd28aad503f02ec1c4d5ad39

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-19T15:49:29.425658Z digest=sha256:383a02fc8c4d6921aa43d60211e9f1a22f1d75b2ee19f47be64e0f0508465f14

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.

source=pdf_text observed=2026-08-01T09:52:38.738056Z digest=sha256:b3c49a2696a85983cd51e9a4153d0572e80ee52994e32b8cc4f4c29afe5ed739

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.

source=pdf_text observed=2026-08-03T00:22:51.771919Z digest=sha256:d28a5b007044684043774bdeb5dd63144c7734db352c94210b878b19a5183740

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.

source=pdf_text observed=2026-08-04T07:15:02.229643Z digest=sha256:14f987e18482405b8a12eaa6cc7b38b68a29badd655e28dfc0ee06c3b7f42631