Paper Citation Record · LEDGER

Entanglement on a Sphere

As of 19 August 2026, this Paper Citation Record lists 28 of 28 outbound references and 2 inbound Pith citation observations for arXiv:2507.01174.

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

pith.paper-citation-record.v1
2507.01174 v1

Coverage vector

measured 28 of 28 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T21:05:46.038508Z

measured 30 of 30 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T16:40:45.554299Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-08T00:19:43.539930Z

Reference resolution

28 of 28 outbound references displayed

verified exact7
verified fuzzy4
unresolved17
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation c79bdcd2-3f2e-4e07-8814-ce3d69655c54 · outbound

This paper cites 1983 paper on entanglement entropy: "On the Entropy of the Vacuum outside a Horizon".

Entanglement on a Sphere 1983 paper on entanglement entropy: "On the Entropy of the Vacuum outside a Horizon"

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-06T21:05:44.924483Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d9b13dad-89bb-4e6e-b6bc-055843e4ac4c · outbound

This paper cites Bombelli, R.K.

Entanglement on a Sphere Bombelli, R.K

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:05:46.584176Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 52db74d5-2a85-473d-b4e6-f5869ab663fe · outbound

This paper cites Entropy and Area.

Entanglement on a Sphere Entropy and Area

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-06T21:05:45.160446Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5e502b67-c84f-467a-9901-ad138624c55b · outbound

This paper cites Markov property of the CFT vacuum and the a-theorem.

Entanglement on a Sphere Markov property of the CFT vacuum and the a-theorem

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-06T21:05:45.258807Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2d48df8d-2ae5-4638-acfd-e7bea5c5dd02 · outbound

This paper cites On the RG running of the entanglement entropy of a circle.

Entanglement on a Sphere On the RG running of the entanglement entropy of a circle

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-06T21:05:45.418137Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 36b7b621-a8d6-4fef-b700-02ea6a11b9bd · outbound

This paper cites Replica analysis of entanglement properties.

Entanglement on a Sphere Replica analysis of entanglement properties

Reference 6

Resolution: verified exact; local_arxiv, observed 2026-08-06T21:05:46.443042Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation f5cdf1aa-733f-4561-9d41-3b52ba2dd6dc · outbound

This paper cites Entanglement entropy in de Sitter space.

Entanglement on a Sphere Entanglement entropy in de Sitter space

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-06T21:05:45.755862Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9e9292e3-5b4b-4172-add9-b16d1798996d · outbound

This paper cites Entanglement Entropy as a Probe Beyond the Horizon.

Entanglement on a Sphere Entanglement Entropy as a Probe Beyond the Horizon

Reference 8

Resolution: verified exact; local_arxiv, observed 2026-08-06T21:05:46.402998Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation ee74a373-1fcc-42bc-826f-67a74c047688 · outbound

This paper cites A Numerical Calculation of Entanglement Entropy in de Sitter Space.

Entanglement on a Sphere A Numerical Calculation of Entanglement Entropy in de Sitter Space

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-06T21:05:45.941607Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e1184917-3da8-4509-82f0-86c59bcf8336 · outbound

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

Entanglement on a Sphere Irreversibility of quantum field theory in de Sitter: the C, F and A theorems

Reference 10

Resolution: verified exact; local_arxiv, observed 2026-08-06T21:05:46.362691Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 0898d0c8-0572-4501-9dcc-df13dc70a6d2 · outbound

This paper cites Entanglement Entropy of a Scalar Field in Anti-de Sitter Space.

Entanglement on a Sphere Entanglement Entropy of a Scalar Field in Anti-de Sitter Space

Reference 11

Resolution: verified exact; local_arxiv, observed 2026-08-06T21:05:46.339510Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 7167f6fc-3e9d-45f9-a317-42697e8716ac · outbound

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

Entanglement on a Sphere Holographic Derivation of Entanglement Entropy from AdS/CFT

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-06T21:05:45.958229Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 97cddf3b-b47b-4817-8dd7-c7a6db0f4240 · outbound

This paper cites Aspects of Holographic Entanglement Entropy.

Entanglement on a Sphere Aspects of Holographic Entanglement Entropy

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-06T21:05:45.962551Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5cf5fafb-7960-4bd1-989c-0ad7d98530a1 · outbound

This paper cites Entanglement entropy, conformal invariance and extrinsic geometry.

Entanglement on a Sphere Entanglement entropy, conformal invariance and extrinsic geometry

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-06T21:05:45.967847Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 045cd049-f419-4d8e-929e-240f4ada6ada · outbound

This paper cites Entanglement entropy for the n-sphere.

Entanglement on a Sphere Entanglement entropy for the n-sphere

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-06T21:05:45.973524Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fe58a231-a29a-411b-9354-5f365a1bf674 · outbound

This paper cites Entanglement entropy in free quantum field theory.

Entanglement on a Sphere Entanglement entropy in free quantum field theory

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-06T21:05:45.978128Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ca8027ea-123a-43a8-8dd0-4590549e1171 · outbound

This paper cites Numerical determination of entanglement entropy for a sphere.

Entanglement on a Sphere Numerical determination of entanglement entropy for a sphere

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-06T21:05:45.982476Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4588c9cc-96c2-4597-a377-4c2207009fb5 · outbound

This paper cites Some Calculable Contributions to Entanglement Entropy.

Entanglement on a Sphere Some Calculable Contributions to Entanglement Entropy

Reference 18

Resolution: verified exact; local_arxiv, observed 2026-08-06T21:05:46.217003Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation b2adc3ea-48e8-45cc-9c9d-c2aa22f7e6f5 · outbound

This paper cites Average Entropy of a Subsystem.

Entanglement on a Sphere Average Entropy of a Subsystem

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-06T21:05:45.991882Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a09f94f5-eb83-473b-9831-64ede8762ff7 · outbound

This paper cites Allen and A.

Entanglement on a Sphere Allen and A

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:05:46.564727Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation aaabf10e-6c2b-46a1-9aef-f93896295bba · outbound

This paper cites Allen,Vacuum States in de Sitter Space, Phys.

Entanglement on a Sphere Allen,Vacuum States in de Sitter Space, Phys

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:05:46.549447Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 5cc7bcbc-507a-4957-9259-42503259ca66 · outbound

This paper cites Calculation of reduced density matrices from correlation functions.

Entanglement on a Sphere Calculation of reduced density matrices from correlation functions

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-06T21:05:46.005080Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f876d543-c1ac-46c5-976e-2de95f811510 · outbound

This paper cites Entanglement in $(1+1)$-dimensional Free Scalar Field Theory: Tiptoeing between Continuum and Discrete Formulations.

Entanglement on a Sphere Entanglement in $(1+1)$-dimensional Free Scalar Field Theory: Tiptoeing between Continuum and Discrete Formulations

Reference 23

Resolution: verified exact; local_arxiv, observed 2026-08-06T21:05:46.161878Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation f26c25ff-aed4-45dd-8b20-4bf12a587d3e · outbound

This paper cites Entanglement of Harmonic Systems in Squeezed States.

Entanglement on a Sphere Entanglement of Harmonic Systems in Squeezed States

Reference 24

Resolution: verified exact; local_arxiv, observed 2026-08-06T21:05:46.139515Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 6e3729dc-38f8-44f1-a81d-d7ad5f5749d5 · outbound

This paper cites On Geometric Entropy.

Entanglement on a Sphere On Geometric Entropy

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-06T21:05:46.020822Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b1d16776-5424-4781-ab2d-b1d665d0e819 · outbound

This paper cites Geometric and Renormalized Entropy in Conformal Field Theory.

Entanglement on a Sphere Geometric and Renormalized Entropy in Conformal Field Theory

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-06T21:05:46.026558Z

Source-reported events for the cited work

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Observation c450e3ca-ffaa-4b3b-b24a-d1ad8e8a5248 · outbound

This paper cites Entanglement Entropy and Quantum Field Theory.

Entanglement on a Sphere Entanglement Entropy and Quantum Field Theory

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-06T21:05:46.032533Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ee0d6dc5-966f-46e5-a93c-df26556a448e · outbound

This paper cites Gradshteyn and I.M.

Entanglement on a Sphere Gradshteyn and I.M

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:05:46.533457Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Pith citing papers

Observation 924a4ad5-6e4c-4d77-bfbb-6593b71d35c9 · inbound

Computing $c$- and $a$-functions from entanglement cites this paper.

Computing $c$- and $a$-functions from entanglement Entanglement on a Sphere

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-15T16:40:45.554299Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0e08ddc6-4109-4d34-86a2-37cecb093ea3 · inbound

Boundary Conditions and Entanglement in Anti-de Sitter Space cites this paper.

Boundary Conditions and Entanglement in Anti-de Sitter Space Entanglement on a Sphere

Reference 22

Resolution: verified exact; local_arxiv, observed 2026-08-08T00:19:43.547210Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.