Paper Citation Record · LEDGER

Multi-entropy and the Dihedral Measures at Quantum Critical Points

As of 18 August 2026, this Paper Citation Record lists 53 of 53 outbound references and 11 inbound Pith citation observations for arXiv:2506.10396.

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

pith.paper-citation-record.v1
2506.10396 v1

Coverage vector

measured 53 of 53 reference resolution

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measured 64 of 64 standing notices

One-hop event checks from named stored sources.

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measured 11 of 11 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-10T21:24:52.295635Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-04T06:59:37.045587Z

Reference resolution

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External citation measurements

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Outbound references

Observation b601da2d-8f8f-44e4-9353-1e5bca885e85 · outbound

This paper cites an unresolved cited work.

Multi-entropy and the Dihedral Measures at Quantum Critical Points Unresolved cited work

Reference 1

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Observation cd70beb9-d79e-4d67-853c-f24b10258eb4 · outbound

This paper cites These measures give rise to twist operator monodromies where the cycle length of all operators is the same.

Multi-entropy and the Dihedral Measures at Quantum Critical Points These measures give rise to twist operator monodromies where the cycle length of all operators is the same

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:37:43.296488Z

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Observation 75d16f7e-e0fa-4647-82d5-192cbc6f2bb0 · outbound

This paper cites an unresolved cited work.

Multi-entropy and the Dihedral Measures at Quantum Critical Points Unresolved cited work

Reference 3

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Multi-entropy and the Dihedral Measures at Quantum Critical Points Unresolved cited work

Reference 4

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This paper cites an unresolved cited work.

Multi-entropy and the Dihedral Measures at Quantum Critical Points Unresolved cited work

Reference 5

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This paper cites an unresolved cited work.

Multi-entropy and the Dihedral Measures at Quantum Critical Points Unresolved cited work

Reference 6

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Observation da85a7db-616f-4e14-b84b-d93128e638d6 · outbound

This paper cites We consider a scenario where the Werner state arises as a two-qubit reduced density matrix of a pure state on a larger Hilbert space.

Multi-entropy and the Dihedral Measures at Quantum Critical Points We consider a scenario where the Werner state arises as a two-qubit reduced density matrix of a pure state on a larger Hilbert space

Reference 7

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Observation 2d868e67-b23f-43ca-b9a4-24e5ebc37965 · outbound

This paper cites 1 2 4r 2π r H(r) 4 H(2r) 4 1 + 1 (4r2 −1) 4 + 212 π8 r8 (4r2 −1) 4 + 1 π2 X n=0,1,2 16r2 π2(4r2 −1) n + π4 + 32 16π4 # , (95) S(2) 2 (AB) =−log.

Multi-entropy and the Dihedral Measures at Quantum Critical Points 1 2 4r 2π r H(r) 4 H(2r) 4 1 + 1 (4r2 −1) 4 + 212 π8 r8 (4r2 −1) 4 + 1 π2 X n=0,1,2 16r2 π2(4r2 −1) n + π4 + 32 16π4 # , (95) S(2) 2 (AB) =−log

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:37:43.191736Z

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Observation 6e6ccd51-954e-4420-9a12-a1d8f9901860 · outbound

This paper cites 10) is obtained via the density matrix renormalisation group (DMRG) al- gorithm [37].

Multi-entropy and the Dihedral Measures at Quantum Critical Points 10) is obtained via the density matrix renormalisation group (DMRG) al- gorithm [37]

Reference 9

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Observation ae0f0657-b694-4334-b3a8-4da0197a1488 · outbound

This paper cites We fix the ratio of the subsys- tem sizes asℓ A =ℓ B =L/4 and vary the total system sizeLin multiples of four, along with the transverse field h.

Multi-entropy and the Dihedral Measures at Quantum Critical Points We fix the ratio of the subsys- tem sizes asℓ A =ℓ B =L/4 and vary the total system sizeLin multiples of four, along with the transverse field h

Reference 10

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Observation 33911ebb-01c0-4fa3-9a62-7b3a4d51779a · outbound

This paper cites Extreme Uni- verse.

Multi-entropy and the Dihedral Measures at Quantum Critical Points Extreme Uni- verse

Reference 11

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Observation ac2bbadc-f59a-4d93-b0e5-823326c365f2 · outbound

This paper cites We select a window of 19 data points (width∆h= 0.018) for all system sizes.

Multi-entropy and the Dihedral Measures at Quantum Critical Points We select a window of 19 data points (width∆h= 0.018) for all system sizes

Reference 12

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Observation c82784ac-df95-4b6a-818b-3adf4bd3d464 · outbound

This paper cites an unresolved cited work.

Multi-entropy and the Dihedral Measures at Quantum Critical Points Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-08-07T04:37:43.100601Z

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Observation 9997a228-faed-4982-ab3b-3dbba44ba0a6 · outbound

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

Multi-entropy and the Dihedral Measures at Quantum Critical Points Geometric and Renormalized Entropy in Conformal Field Theory

Reference 14

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Observation 4aaffa48-c17d-45a1-888d-eb50ec066e49 · outbound

This paper cites Entanglement in quantum critical phenomena.

Multi-entropy and the Dihedral Measures at Quantum Critical Points Entanglement in quantum critical phenomena

Reference 15

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Observation 3c8729ce-fffa-4f98-a8ec-fab8ff0ae139 · outbound

This paper cites Entanglement Entropy and Quantum Field Theory.

Multi-entropy and the Dihedral Measures at Quantum Critical Points Entanglement Entropy and Quantum Field Theory

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-07T04:37:41.645789Z

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Observation 0d420fb7-f7f2-459f-ac71-ce8e39e24f2d · outbound

This paper cites Topological entanglement entropy.

Multi-entropy and the Dihedral Measures at Quantum Critical Points Topological entanglement entropy

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-07T04:37:41.650476Z

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Observation 83c7afe5-c5e5-4ca2-9f91-e6a26e815a17 · outbound

This paper cites Detecting topological order in a ground state wave function.

Multi-entropy and the Dihedral Measures at Quantum Critical Points Detecting topological order in a ground state wave function

Reference 18

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Observation 14447788-dcb1-4047-92e8-9ee7e3a0a36b · outbound

This paper cites Bombelli, R.

Multi-entropy and the Dihedral Measures at Quantum Critical Points Bombelli, R

Reference 19

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Observation 6327950c-8a9e-4502-b6d8-a21b9286ad1c · outbound

This paper cites Srednicki, Phys.

Multi-entropy and the Dihedral Measures at Quantum Critical Points Srednicki, Phys

Reference 20

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Observation fffd08a4-cc1a-4b1d-94ed-7b6ac008314d · outbound

This paper cites Area laws for the entanglement entropy - a review.

Multi-entropy and the Dihedral Measures at Quantum Critical Points Area laws for the entanglement entropy - a review

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-07T04:37:41.668861Z

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Observation 41e60c5a-ec28-4991-88f7-7513d4a55303 · outbound

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

Multi-entropy and the Dihedral Measures at Quantum Critical Points Holographic Derivation of Entanglement Entropy from AdS/CFT

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-07T04:37:41.673627Z

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Observation 252e5817-f3ad-4f53-9747-181a2aa41221 · outbound

This paper cites Aspects of Holographic Entanglement Entropy.

Multi-entropy and the Dihedral Measures at Quantum Critical Points Aspects of Holographic Entanglement Entropy

Reference 23

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Observation 72fd4023-61cf-4780-befc-9e15410ceed1 · outbound

This paper cites A Covariant Holographic Entanglement Entropy Proposal.

Multi-entropy and the Dihedral Measures at Quantum Critical Points A Covariant Holographic Entanglement Entropy Proposal

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-07T04:37:41.683271Z

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Observation 0c011881-7b96-4589-b137-680d6f221a8a · outbound

This paper cites Holographic Entanglement Entropy: An Overview.

Multi-entropy and the Dihedral Measures at Quantum Critical Points Holographic Entanglement Entropy: An Overview

Reference 25

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Observation 8e39353c-8722-44e6-ad34-b7d73e033292 · outbound

This paper cites Entanglement entropy: holography and renormalization group.

Multi-entropy and the Dihedral Measures at Quantum Critical Points Entanglement entropy: holography and renormalization group

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-07T04:37:41.693305Z

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Observation f727c9c3-22b7-40f8-9b3f-93d79301e7ee · outbound

This paper cites Quantum entanglement.

Multi-entropy and the Dihedral Measures at Quantum Critical Points Quantum entanglement

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-07T04:37:41.698452Z

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Observation 517da150-f431-476c-9743-1f962c4edace · outbound

This paper cites Bengtsson and K.

Multi-entropy and the Dihedral Measures at Quantum Critical Points Bengtsson and K

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:37:43.065524Z

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Observation e93bc300-7a64-40d0-b244-1093e6ed1301 · outbound

This paper cites Multi-invariants and Bulk Replica Symmetry.

Multi-entropy and the Dihedral Measures at Quantum Critical Points Multi-invariants and Bulk Replica Symmetry

Reference 29

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Observation ebe63e80-ff3e-44b2-af8c-a5335927c74a · outbound

This paper cites A new multi-partite entanglement measure and its holographic dual.

Multi-entropy and the Dihedral Measures at Quantum Critical Points A new multi-partite entanglement measure and its holographic dual

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-07T04:37:41.711704Z

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Observation 951cf283-f693-4a92-a12a-180131c8f464 · outbound

This paper cites Fun with replicas: tripartitions in tensor networks and gravity.

Multi-entropy and the Dihedral Measures at Quantum Critical Points Fun with replicas: tripartitions in tensor networks and gravity

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-07T04:37:41.716334Z

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Observation d8689004-a2b9-401c-8ffe-1db89b796d30 · outbound

This paper cites Berthiere and G.

Multi-entropy and the Dihedral Measures at Quantum Critical Points Berthiere and G

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:37:43.049007Z

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Observation 02c8bef6-c344-46b7-a138-b1954113b696 · outbound

This paper cites Monotonicity conjecture for multi-party entanglement I.

Multi-entropy and the Dihedral Measures at Quantum Critical Points Monotonicity conjecture for multi-party entanglement I

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-07T04:37:41.728324Z

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Observation c9fd6881-6b0b-4f5f-99bd-8b4a4661ebac · outbound

This paper cites Towards classification of holographic multi-partite entanglement measures.

Multi-entropy and the Dihedral Measures at Quantum Critical Points Towards classification of holographic multi-partite entanglement measures

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-07T04:37:41.732941Z

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Observation 86d846e6-8274-4fc3-aa5a-10f1a78d813e · outbound

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Multi-entropy and the Dihedral Measures at Quantum Critical Points Gadde, S

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-07T04:37:41.738671Z

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Observation ee5f20d0-e623-4e70-b192-45630adf7c58 · outbound

This paper cites Multi-entropy at low Renyi index in 2d CFTs.

Multi-entropy and the Dihedral Measures at Quantum Critical Points Multi-entropy at low Renyi index in 2d CFTs

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-07T04:37:41.743854Z

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Observation 12b901b7-3d20-47a6-b78f-75bcd89cddb5 · outbound

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Multi-entropy and the Dihedral Measures at Quantum Critical Points Unresolved cited work

Reference 37

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Observation c26d60e5-1d47-42ac-8a5f-26ea45e650ec · outbound

This paper cites Black Hole Multi-Entropy Curves.

Multi-entropy and the Dihedral Measures at Quantum Critical Points Black Hole Multi-Entropy Curves

Reference 38

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Observation 7307bafa-7ba3-4197-9b55-9a2084d4cccb · outbound

This paper cites Genuine multi-entropy and holography.

Multi-entropy and the Dihedral Measures at Quantum Critical Points Genuine multi-entropy and holography

Reference 39

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Observation f075c3f6-aa42-4b51-ba50-562c8d6f0b74 · outbound

This paper cites Why many-partite entanglement is essential for holography.

Multi-entropy and the Dihedral Measures at Quantum Critical Points Why many-partite entanglement is essential for holography

Reference 40

Resolution: unresolved; no resolver link, observed 2026-08-07T04:37:41.768469Z

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Observation 4cf2d632-1006-43e9-b8b0-a615bb20da6d · outbound

This paper cites More on genuine multi-entropy and holography.

Multi-entropy and the Dihedral Measures at Quantum Critical Points More on genuine multi-entropy and holography

Reference 41

Resolution: unresolved; no resolver link, observed 2026-08-07T04:37:41.775770Z

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Observation 360af5ca-ef0f-4920-9a4e-e4277e5d9ad3 · outbound

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Multi-entropy and the Dihedral Measures at Quantum Critical Points Unresolved cited work

Reference 42

Resolution: unresolved; no resolver link, observed 2026-08-07T04:37:41.781966Z

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Observation a681344e-3855-4e6f-ac8f-136c351c9b9b · outbound

This paper cites Entanglement in a simple quantum phase transition.

Multi-entropy and the Dihedral Measures at Quantum Critical Points Entanglement in a simple quantum phase transition

Reference 43

Resolution: unresolved; no resolver link, observed 2026-08-07T04:37:41.788251Z

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Observation bce0c47d-35cc-47f8-9c2c-0bb521b2d98f · outbound

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Multi-entropy and the Dihedral Measures at Quantum Critical Points Unresolved cited work

Reference 44

Resolution: unresolved; raw_fallback, observed 2026-08-07T04:37:43.030307Z

Source-reported events for the cited work

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Observation b9215d4d-5e68-474e-9511-87393872c062 · outbound

This paper cites Barouch, B.

Multi-entropy and the Dihedral Measures at Quantum Critical Points Barouch, B

Reference 45

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:37:43.014090Z

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Observation 3310b31c-5b70-4ddd-886a-434508e1624b · outbound

This paper cites Jordan and E.

Multi-entropy and the Dihedral Measures at Quantum Critical Points Jordan and E

Reference 46

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:37:42.996409Z

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Observation 26307775-f910-4cce-8269-d770d9fad632 · outbound

This paper cites Pfeuty, Annals Phys.57, 79 (1970).

Multi-entropy and the Dihedral Measures at Quantum Critical Points Pfeuty, Annals Phys.57, 79 (1970)

Reference 47

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:37:42.978607Z

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Observation 401c853b-a94f-4aee-b288-c290a184c6b8 · outbound

This paper cites The ITensor Software Library for Tensor Network Calculations.

Multi-entropy and the Dihedral Measures at Quantum Critical Points The ITensor Software Library for Tensor Network Calculations

Reference 48

Resolution: unresolved; no resolver link, observed 2026-08-07T04:37:41.815587Z

Source-reported events for the cited work

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Observation 7c2c00d9-653f-479d-b087-31e6000eecec · outbound

This paper cites Fishman, S.

Multi-entropy and the Dihedral Measures at Quantum Critical Points Fishman, S

Reference 49

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:37:42.962551Z

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Observation 6f9ba0c4-ba46-40d9-8ad2-011da7c177f4 · outbound

This paper cites an unresolved cited work.

Multi-entropy and the Dihedral Measures at Quantum Critical Points Unresolved cited work

Reference 50

Resolution: unresolved; no resolver link, observed 2026-08-07T04:37:41.828419Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0501c7cd-5e55-4117-a208-9a9016f71f88 · outbound

This paper cites The entanglement negativity in random spin chains.

Multi-entropy and the Dihedral Measures at Quantum Critical Points The entanglement negativity in random spin chains

Reference 51

Resolution: verified exact; local_arxiv, observed 2026-08-07T04:37:41.968881Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 1716e3a8-7d17-452f-ab7d-68edd6e3bb94 · outbound

This paper cites Finite-size corrections of the Entanglement Entropy of critical quantum chains.

Multi-entropy and the Dihedral Measures at Quantum Critical Points Finite-size corrections of the Entanglement Entropy of critical quantum chains

Reference 52

Resolution: verified exact; local_arxiv, observed 2026-08-07T04:37:41.940213Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 0e460291-abaa-41d5-a72c-4c56579380fa · outbound

This paper cites Unusual Corrections to Scaling in Entanglement Entropy.

Multi-entropy and the Dihedral Measures at Quantum Critical Points Unusual Corrections to Scaling in Entanglement Entropy

Reference 53

Resolution: verified exact; local_arxiv, observed 2026-08-07T04:37:41.906929Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Pith citing papers

Observation e8bed890-c138-459b-8776-1e18ab045a31 · inbound

Genuine multientropy, dihedral invariants and Lifshitz theory cites this paper.

Genuine multientropy, dihedral invariants and Lifshitz theory Multi-entropy and the Dihedral Measures at Quantum Critical Points

Reference 52

Resolution: metadata mismatch; arxiv_id, observed 2026-05-18T19:21:47.778518Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 6b821f7d-c39f-4ed9-bebe-74393040b293 · inbound

Tripartite Correlation Signal from Multipartite Entanglement of Purification cites this paper.

Tripartite Correlation Signal from Multipartite Entanglement of Purification Multi-entropy and the Dihedral Measures at Quantum Critical Points

Reference 42

Resolution: verified exact; arxiv_id, observed 2026-05-22T13:11:35.540555Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 66782252-05b5-4169-9e13-6a8dfad7a406 · inbound

Black hole as a multipartite entangler: multi-entropy in AdS${}_3$/CFT${}_2$ cites this paper.

Black hole as a multipartite entangler: multi-entropy in AdS${}_3$/CFT${}_2$ Multi-entropy and the Dihedral Measures at Quantum Critical Points

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-03T14:25:10.601310Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fc703412-644c-4d46-a273-9919c1454ab4 · inbound

The Junction Law for Multipartite Entanglement in Confining Holographic Backgrounds cites this paper.

The Junction Law for Multipartite Entanglement in Confining Holographic Backgrounds Multi-entropy and the Dihedral Measures at Quantum Critical Points

Reference 23

Resolution: verified exact; arxiv_id, observed 2026-05-11T09:26:03.043352Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 2c6bc11e-fbeb-4870-a6cb-224302853ab3 · inbound

On a mixed-state extension of the holographic signal inequality cites this paper.

On a mixed-state extension of the holographic signal inequality Multi-entropy and the Dihedral Measures at Quantum Critical Points

Reference 39

Resolution: verified exact; arxiv_id, observed 2026-06-29T16:33:39.173256Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation e7f762bf-616e-495e-98c8-ac5d02db905b · inbound

Multi-entropy in random tensor networks cites this paper.

Multi-entropy in random tensor networks Multi-entropy and the Dihedral Measures at Quantum Critical Points

Reference 29

Resolution: verified exact; arxiv_id, observed 2026-07-02T09:16:49.402129Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation a232fe07-8163-4804-bd8f-fbf6898524a4 · inbound

Fun with Graph States: Nonlocal Bell Pairs and the Arf Invariant cites this paper.

Fun with Graph States: Nonlocal Bell Pairs and the Arf Invariant Multi-entropy and the Dihedral Measures at Quantum Critical Points

Reference 28

Resolution: verified exact; arxiv_id, observed 2026-07-02T14:07:03.368076Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation c6540b91-a6b8-4062-909e-48820f966ca7 · inbound

Multi-entropy in heavy local quenches cites this paper.

Multi-entropy in heavy local quenches Multi-entropy and the Dihedral Measures at Quantum Critical Points

Reference 62

Resolution: verified exact; arxiv_id, observed 2026-07-03T12:18:06.927371Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 721ffcb3-422c-4447-b015-f4e7ef30c717 · inbound

The Entanglement Wedge Polygon cites this paper.

The Entanglement Wedge Polygon Multi-entropy and the Dihedral Measures at Quantum Critical Points

Reference 37

Resolution: verified exact; arxiv_id, observed 2026-07-04T06:59:37.047382Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation a042b323-89de-4118-9791-dde026da4329 · inbound

The Entanglement Wedge Polygon cites this paper.

The Entanglement Wedge Polygon Multi-entropy and the Dihedral Measures at Quantum Critical Points

Reference 37

Resolution: unresolved; no resolver link, observed 2026-08-02T10:47:26.580730Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d49eb063-b7ca-4555-a0c9-bd15855d2590 · inbound

Notes on the Graph-Encoded Manifolds for the (Genuine) Multi-Entropy cites this paper.

Notes on the Graph-Encoded Manifolds for the (Genuine) Multi-Entropy Multi-entropy and the Dihedral Measures at Quantum Critical Points

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-10T21:24:52.295635Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.