Paper Citation Record · LEDGER

From black hole interior to quantum complexity through operator rank

As of 15 August 2026, this Paper Citation Record lists 51 of 51 outbound references and 0 inbound Pith citation observations for arXiv:2412.15183.

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

pith.paper-citation-record.v1
2412.15183 v2

Coverage vector

measured 51 of 51 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T11:41:01.306332Z

measured 51 of 51 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

51 of 51 outbound references displayed

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verified fuzzy5
unresolved31
parse uncertain0
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External citation measurements

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Outbound references

Observation 3891d62c-e965-4c08-90a0-f648d64adfb9 · outbound

This paper cites Quantum complexity in gravity, quantum field theory, and quantum information science.

From black hole interior to quantum complexity through operator rank Quantum complexity in gravity, quantum field theory, and quantum information science

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-11T11:41:01.099898Z

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Observation 6b92a827-946d-4e55-be8f-0cf4faeeb98f · outbound

This paper cites Addendum to Computational Complexity and Black Hole Horizons.

From black hole interior to quantum complexity through operator rank Addendum to Computational Complexity and Black Hole Horizons

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-11T11:41:01.111003Z

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Observation d2effa12-d9d6-44f7-be53-ff5b14b20702 · outbound

This paper cites Complexity Equals Action.

From black hole interior to quantum complexity through operator rank Complexity Equals Action

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-11T11:41:01.115136Z

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Observation a58879cc-207f-480d-83a3-7aa19c44e60b · outbound

This paper cites Complexity, Action, and Black Holes.

From black hole interior to quantum complexity through operator rank Complexity, Action, and Black Holes

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T11:41:02.224763Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 49587ab1-7de9-4294-a188-2b0aac4a3a87 · outbound

This paper cites Noether charge, black hole vol- ume, and complexity.

From black hole interior to quantum complexity through operator rank Noether charge, black hole vol- ume, and complexity

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-11T11:41:01.124508Z

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Observation f9fe41b5-060b-45b5-b939-61b77d3eff32 · outbound

This paper cites Holographic Complexity and Volume.

From black hole interior to quantum complexity through operator rank Holographic Complexity and Volume

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-11T11:41:01.133669Z

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Observation cc561a3b-1892-4d06-8f3f-4b1660c9ede1 · outbound

This paper cites Holographic Complexity Equals Which Action?.

From black hole interior to quantum complexity through operator rank Holographic Complexity Equals Which Action?

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-11T11:41:01.137998Z

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Observation 3d1b65a4-1ea6-48b1-912d-b333c8a5defb · outbound

This paper cites Does Complexity Equal Anything?.

From black hole interior to quantum complexity through operator rank Does Complexity Equal Anything?

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-11T11:41:01.142438Z

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Observation ef1365ec-55b3-4b9e-ad86-c18a6be8bb12 · outbound

This paper cites Complexity Equals Anything II.

From black hole interior to quantum complexity through operator rank Complexity Equals Anything II

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-11T11:41:01.146590Z

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Observation 3ac4e3e5-4885-4501-b82d-abc64383d07d · outbound

This paper cites Complexity and Shock Wave Geometries.

From black hole interior to quantum complexity through operator rank Complexity and Shock Wave Geometries

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-11T11:41:01.150897Z

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Observation 7b977ec6-a741-4ba2-b109-c00add8264bf · outbound

This paper cites The volume of the black hole interior at late times.

From black hole interior to quantum complexity through operator rank The volume of the black hole interior at late times

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-11T11:41:01.154695Z

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Observation f8be48c6-da85-4edc-812f-9d085005071a · outbound

This paper cites Linear growth of quantum circuit complexity.

From black hole interior to quantum complexity through operator rank Linear growth of quantum circuit complexity

Reference 13

Resolution: malformed identifier; no resolver link, observed 2026-08-11T11:41:01.158481Z

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Observation ff1b4d01-fe88-49fd-8a51-3ccb8f6ae836 · outbound

This paper cites Gapless spin fluid ground state in a random, quan- tum Heisenberg magnet.

From black hole interior to quantum complexity through operator rank Gapless spin fluid ground state in a random, quan- tum Heisenberg magnet

Reference 14

Resolution: verified exact; raw_fallback, observed 2026-08-11T11:41:01.973410Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 759c2645-3419-4659-abda-ff3d451c3b9c · outbound

This paper cites http : / / online.

From black hole interior to quantum complexity through operator rank http : / / online

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T11:41:02.212254Z

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Observation ecc37a81-3795-4b5e-a66c-d367bcb7c157 · outbound

This paper cites Comments on the Sachdev-Ye-Kitaev model.

From black hole interior to quantum complexity through operator rank Comments on the Sachdev-Ye-Kitaev model

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-11T11:41:01.170853Z

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Observation 81bd4146-8188-48cb-a985-34fc9190f789 · outbound

This paper cites The Spectrum in the Sachdev-Ye-Kitaev Model.

From black hole interior to quantum complexity through operator rank The Spectrum in the Sachdev-Ye-Kitaev Model

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-11T11:41:01.174578Z

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Observation a2f39a86-f316-46cc-84a6-1a3d9efae5d0 · outbound

This paper cites A bulk manifestation of Krylov complexity.

From black hole interior to quantum complexity through operator rank A bulk manifestation of Krylov complexity

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-11T11:41:01.178699Z

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Observation 554f0f2a-c7fd-4a18-81b6-990a079e74e0 · outbound

This paper cites Krylov complexity of fermion chain in double-scaled SYK and power spectrum perspective.

From black hole interior to quantum complexity through operator rank Krylov complexity of fermion chain in double-scaled SYK and power spectrum perspective

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-11T11:41:01.182311Z

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Observation c53b52cb-3610-4e1f-b8c6-984122640e3b · outbound

This paper cites On Chord Dynamics and Complexity Growth in Double-Scaled SYK.

From black hole interior to quantum complexity through operator rank On Chord Dynamics and Complexity Growth in Double-Scaled SYK

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-11T11:41:01.186148Z

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Observation 5d6c881a-ee65-4a55-a107-6604208597ab · outbound

This paper cites Chord diagrams, exact correla- tors in spin glasses and black hole bulk reconstruction.

From black hole interior to quantum complexity through operator rank Chord diagrams, exact correla- tors in spin glasses and black hole bulk reconstruction

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T11:41:02.199508Z

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Observation 8b2f3778-2fd0-4340-8b0f-1a8a9d37292e · outbound

This paper cites The bulk Hilbert space of double scaled SYK.

From black hole interior to quantum complexity through operator rank The bulk Hilbert space of double scaled SYK

Reference 22

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Observation a6777830-d4eb-4084-991e-c33d9b88157c · outbound

This paper cites A Universal Operator Growth Hypothesis.

From black hole interior to quantum complexity through operator rank A Universal Operator Growth Hypothesis

Reference 23

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Observation 7956e27a-0017-422a-a394-12b19f988c2e · outbound

This paper cites Krylov complexity in conformal field theory.

From black hole interior to quantum complexity through operator rank Krylov complexity in conformal field theory

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-11T11:41:01.201942Z

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Observation 53ea6c34-1d22-40a8-a01c-4a78ea1be1cd · outbound

This paper cites Geometry of Krylov Complexity.

From black hole interior to quantum complexity through operator rank Geometry of Krylov Complexity

Reference 25

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Observation 8e9bb9a0-8dfc-45ef-a932-bd27cbab84bc · outbound

This paper cites Krylov complexity in large-$q$ and double-scaled SYK model.

From black hole interior to quantum complexity through operator rank Krylov complexity in large-$q$ and double-scaled SYK model

Reference 26

Resolution: malformed identifier; no resolver link, observed 2026-08-11T11:41:01.209736Z

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Observation 135030ea-8dd7-4c7e-ade3-8532683e2053 · outbound

This paper cites Quantum chaos and the complexity of spread of states.

From black hole interior to quantum complexity through operator rank Quantum chaos and the complexity of spread of states

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-11T11:41:01.213804Z

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Observation fa7db9de-75f1-4770-a8f7-a6e7bfd742ca · outbound

This paper cites Krylov complexity of modular Hamiltonian evolution.

From black hole interior to quantum complexity through operator rank Krylov complexity of modular Hamiltonian evolution

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-11T11:41:01.217499Z

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Observation c1d12382-b391-414a-af84-c28e807409cf · outbound

This paper cites Krylov Complexity in Open Quantum Systems.

From black hole interior to quantum complexity through operator rank Krylov Complexity in Open Quantum Systems

Reference 29

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Observation 30221d64-109f-4142-8e18-f9d68cbd3f7b · outbound

This paper cites Building Krylov complexity from circuit complexity.

From black hole interior to quantum complexity through operator rank Building Krylov complexity from circuit complexity

Reference 30

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Observation 24e0c9ad-1083-4de0-8f7c-c68cfbb1fa54 · outbound

This paper cites Time Evolution of Entanglement Entropy from Black Hole Interiors.

From black hole interior to quantum complexity through operator rank Time Evolution of Entanglement Entropy from Black Hole Interiors

Reference 31

Resolution: verified exact; doi, observed 2026-08-11T11:41:01.379986Z

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Observation 8af650c8-33e3-47d4-ab59-ba17fce950cf · outbound

This paper cites Holographic derivation of entanglement en- tropy from AdS/CFT.

From black hole interior to quantum complexity through operator rank Holographic derivation of entanglement en- tropy from AdS/CFT

Reference 32

Resolution: verified exact; raw_fallback, observed 2026-08-11T11:41:01.737340Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 1f05b25d-2bf0-41ea-ad38-c557281cb270 · outbound

This paper cites Time Evolution of Entanglement Entropy from Black Hole Interiors.

From black hole interior to quantum complexity through operator rank Time Evolution of Entanglement Entropy from Black Hole Interiors

Reference 33

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Observation 9892326f-63d2-4d65-905b-7d6f7ec89923 · outbound

This paper cites A geometric approach to quantum circuit lower bounds.

From black hole interior to quantum complexity through operator rank A geometric approach to quantum circuit lower bounds

Reference 34

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Observation e3d18dd8-af84-4b12-a60d-09470fa757df · outbound

This paper cites A Covariant Holographic Entanglement Entropy Proposal.

From black hole interior to quantum complexity through operator rank A Covariant Holographic Entanglement Entropy Proposal

Reference 35

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Observation 30085486-757f-49e1-aac1-03ea87f52928 · outbound

This paper cites Eternal black holes in anti-de Sitter.

From black hole interior to quantum complexity through operator rank Eternal black holes in anti-de Sitter

Reference 36

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Observation e80720c7-7085-4e13-8137-6703a9b3c732 · outbound

This paper cites Entangling Power and Quantum Circuit Complexity.

From black hole interior to quantum complexity through operator rank Entangling Power and Quantum Circuit Complexity

Reference 37

Resolution: unresolved; no resolver link, observed 2026-08-11T11:41:01.247564Z

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Observation 742b1ac5-a542-4946-94c8-34920ca9936e · outbound

This paper cites Operator entanglement entropy of the time evolution operator in chaotic systems.

From black hole interior to quantum complexity through operator rank Operator entanglement entropy of the time evolution operator in chaotic systems

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T11:41:02.175241Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 869392a7-4cd2-466a-9efc-6ba7e4b90526 · outbound

This paper cites Entangling power and operator entanglement in qudit systems.

From black hole interior to quantum complexity through operator rank Entangling power and operator entanglement in qudit systems

Reference 39

Resolution: verified exact; doi, observed 2026-08-11T11:41:01.361311Z

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Observation fa441188-1e2c-4356-a97f-4cb201a7dc48 · outbound

This paper cites Information scrambling versus quantum revival through the lens of operator entanglement.

From black hole interior to quantum complexity through operator rank Information scrambling versus quantum revival through the lens of operator entanglement

Reference 40

Resolution: verified exact; doi, observed 2026-08-11T11:41:01.340893Z

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Observation 43b1d04a-8713-4cb4-a2da-4c654d252370 · outbound

This paper cites Observable and computable entanglement in time.

From black hole interior to quantum complexity through operator rank Observable and computable entanglement in time

Reference 41

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Observation 7e43240f-16e5-495f-b81a-a7662ab15910 · outbound

This paper cites Signature of quantum chaos in operator entanglement in 2d CFTs.

From black hole interior to quantum complexity through operator rank Signature of quantum chaos in operator entanglement in 2d CFTs

Reference 42

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Observation 895311e3-c573-4af9-8eb2-0a010cc2ca81 · outbound

This paper cites The entropy of bulk quantum fields and the entanglement wedge of an evaporating black hole.

From black hole interior to quantum complexity through operator rank The entropy of bulk quantum fields and the entanglement wedge of an evaporating black hole

Reference 43

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Observation b7f4abe3-53c8-4684-848e-6038f14b15b3 · outbound

This paper cites Replica Wormholes and the Entropy of Hawking Radiation.

From black hole interior to quantum complexity through operator rank Replica Wormholes and the Entropy of Hawking Radiation

Reference 44

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Observation 6bd060db-3ffb-41eb-a668-cefdbd6b994b · outbound

This paper cites Replica wormholes and the black hole interior.

From black hole interior to quantum complexity through operator rank Replica wormholes and the black hole interior

Reference 45

Resolution: unresolved; no resolver link, observed 2026-08-11T11:41:01.293764Z

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Observation 1cd26cdb-031d-48b8-98c0-428b53e42c47 · outbound

This paper cites Entanglement Wedge Reconstruction and the Information Paradox.

From black hole interior to quantum complexity through operator rank Entanglement Wedge Reconstruction and the Information Paradox

Reference 46

Resolution: unresolved; no resolver link, observed 2026-08-11T11:41:01.282260Z

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Observation a9343da9-5863-4fd2-b4a7-e957be7cc653 · outbound

This paper cites Operator Entanglement in Local Quantum Circuits I: Chaotic Dual-Unitary Circuits.

From black hole interior to quantum complexity through operator rank Operator Entanglement in Local Quantum Circuits I: Chaotic Dual-Unitary Circuits

Reference 47

Resolution: unresolved; no resolver link, observed 2026-08-11T11:41:01.302240Z

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Observation 58041eac-8193-4366-abaa-0199eac6da8f · outbound

This paper cites Operator Entanglement in Local Quantum Circuits II: Solitons in Chains of Qubits.

From black hole interior to quantum complexity through operator rank Operator Entanglement in Local Quantum Circuits II: Solitons in Chains of Qubits

Reference 48

Resolution: unresolved; no resolver link, observed 2026-08-11T11:41:01.306332Z

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Observation bd8beb2f-4cd1-45c1-a366-0563a30ac30d · outbound

This paper cites Measurement-induced phase transition in teleportation and wormholes.

From black hole interior to quantum complexity through operator rank Measurement-induced phase transition in teleportation and wormholes

Reference 50

Resolution: unresolved; no resolver link, observed 2026-08-11T11:41:01.297700Z

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Observation 85a16eb4-8094-40f1-baae-f98a8b2f9fc8 · outbound

This paper cites Information Scrambling Versus Quantum Revival Through the Lens of Operator Entanglement.

From black hole interior to quantum complexity through operator rank Information Scrambling Versus Quantum Revival Through the Lens of Operator Entanglement

Reference 100

Resolution: verified exact; local_arxiv, observed 2026-08-11T11:41:01.565068Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 87fa290f-651c-42a0-875d-af01117cbf42 · outbound

This paper cites Noether charge, black hole volume, and complexity.

From black hole interior to quantum complexity through operator rank Noether charge, black hole volume, and complexity

Reference 119

Resolution: unresolved; no resolver link, observed 2026-08-11T11:41:01.129379Z

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Observation 966f84ea-b693-44ef-b7ba-147ed8a268af · outbound

This paper cites URL: http://dx.doi.org/10.1103/ PhysRevB.95.094206.

From black hole interior to quantum complexity through operator rank URL: http://dx.doi.org/10.1103/ PhysRevB.95.094206

Reference 9969

Resolution: unresolved; no resolver link, observed 2026-08-11T11:41:01.263077Z

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Pith citing papers

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