Paper Citation Record · LEDGER

Multi-entropy and the Dihedral Measures at Quantum Critical Points

As of 8 August 2026, this Paper Citation Record lists 53 of 53 outbound references and 10 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

Typed states for the displayed outbound observations.

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measured 63 of 63 standing notices

One-hop event checks from named stored sources.

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measured 10 of 10 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-03T14:25:10.601310Z

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

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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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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

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:37:43.154827Z

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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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Source-reported events for the cited work

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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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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

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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

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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

Resolution: unresolved; no resolver link, observed 2026-08-07T04:37:41.688846Z

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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

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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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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

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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

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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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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

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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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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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

Source-reported events for the cited work

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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

Unavailable: canonical work link unavailable.

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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 2026-08-08T06:32:00.761636+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 2026-08-08T06:32:00.761636+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 2026-08-08T06:32:00.761636+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 2026-08-08T06:32:00.761636+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 2026-08-08T06:32:00.761636+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 2026-08-08T06:32:00.761636+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 2026-08-08T06:32:00.761636+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 2026-08-08T06:32:00.761636+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 2026-08-08T06:32:00.761636+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 2026-08-08T06:32:00.761636+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 2026-08-08T06:32:00.761636+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.