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Paper Citation Record · LEDGER

Grand Canonical vs Canonical Krylov Complexity in Double-Scaled Complex SYK Model

As of 18 August 2026, this Paper Citation Record lists 40 of 40 outbound references and 4 inbound Pith citation observations for arXiv:2512.07715.

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

pith.paper-citation-record.v1
2512.07715 v2

Coverage vector

measured 40 of 40 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-03T17:58:41.697256Z

measured 44 of 44 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+00:00

measured 4 of 4 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T17:42:29.755562Z

measured 0 of 1 external citation measurements

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Source: arxiv_reference, observed 2026-05-18T00:55:33.949433Z

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40 of 40 outbound references displayed

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Outbound references

Observation a424de4a-96e6-4a1b-a9ee-1966cb86eb5d · outbound

This paper cites Dimensional Reduction in Quantum Gravity.

Grand Canonical vs Canonical Krylov Complexity in Double-Scaled Complex SYK Model Dimensional Reduction in Quantum Gravity

Reference 1

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source=pdf_text observed=2026-08-03T17:58:36.762393Z digest=sha256:586a3b2493159a9cd8e9bde8fd260db5da4d171ecbfa7ac9466e886a22cdeefb

Observation 06eb7dc9-17ee-45ca-a7ef-5af3b397cb9d · outbound

This paper cites The World as a Hologram.

Grand Canonical vs Canonical Krylov Complexity in Double-Scaled Complex SYK Model The World as a Hologram

Reference 2

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source=pdf_text observed=2026-08-03T17:58:36.813156Z digest=sha256:e7819d2a371d86a3c4435d36869ac733057ffbe35ee76fe809f2a1bd361f736f

Observation 5639dc3a-9bf5-489b-90a6-60f1212670fc · outbound

This paper cites The Large N Limit of Superconformal Field Theories and Supergravity.

Grand Canonical vs Canonical Krylov Complexity in Double-Scaled Complex SYK Model The Large N Limit of Superconformal Field Theories and Supergravity

Reference 3

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source=pdf_text observed=2026-08-03T17:58:36.936284Z digest=sha256:a4111bd297c055d62eb5fca8cad8f289742246c8ecca279a2684be5d9b6dad64

Observation d6013c06-eb25-4670-846e-690c055223b8 · outbound

This paper cites Complexity, action, and black holes.

Grand Canonical vs Canonical Krylov Complexity in Double-Scaled Complex SYK Model Complexity, action, and black holes

Reference 4

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source=pdf_text observed=2026-08-03T17:58:36.997020Z digest=sha256:c91b1a1916a798cb6ea39a758bceb0fdd1be5edc34e24f174e8e91d51b5a11b0

Observation 83a11d5a-800a-4988-b741-c68a50984e43 · outbound

This paper cites A Universal Operator Growth Hypothesis.

Grand Canonical vs Canonical Krylov Complexity in Double-Scaled Complex SYK Model A Universal Operator Growth Hypothesis

Reference 5

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source=pdf_text observed=2026-08-03T17:58:37.138431Z digest=sha256:b5433381c0a68df2977eac64d4179c72227cd7122158853c0e9a3eee6f3badff

Observation 53fbecb8-de30-4b7f-8c34-633ce00f8b36 · outbound

This paper cites On The Evolution Of Operator Complexity Beyond Scrambling.

Grand Canonical vs Canonical Krylov Complexity in Double-Scaled Complex SYK Model On The Evolution Of Operator Complexity Beyond Scrambling

Reference 6

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source=pdf_text observed=2026-08-03T17:58:37.243006Z digest=sha256:763093a208ec7e8424ff3931578cad885896e794a5693c64fa34e0fdf8f6ea88

Observation 091d55a4-ff60-42c3-8573-63b5bf99f762 · outbound

This paper cites Operator complexity: a journey to the edge of Krylov space.

Grand Canonical vs Canonical Krylov Complexity in Double-Scaled Complex SYK Model Operator complexity: a journey to the edge of Krylov space

Reference 7

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source=pdf_text observed=2026-08-03T17:58:37.374878Z digest=sha256:02f4e2184124f15f608b6880fdd71542ccf911a6d70e6f2070070edc670a8be4

Observation 17ce731e-f4a1-4cf7-aaff-2a4b5a2e2f73 · outbound

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

Grand Canonical vs Canonical Krylov Complexity in Double-Scaled Complex SYK Model Quantum chaos and the complexity of spread of states

Reference 8

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source=pdf_text observed=2026-08-03T17:58:37.509276Z digest=sha256:1eb6e961546f1a22c6f02c9584155172e289eb55d0bff2ec5d563513f58ab88c

Observation 6e1bcebc-1f86-48c9-b2e9-b3a59968a675 · outbound

This paper cites Computational complexity and black hole horizons,.

Grand Canonical vs Canonical Krylov Complexity in Double-Scaled Complex SYK Model Computational complexity and black hole horizons,

Reference 9

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source=pdf_text observed=2026-08-03T17:58:37.629871Z digest=sha256:20eee343eac094da3ad6e49cdb49e72fe26726808b8f308515a51e48a812b0e7

Observation 1390a701-48fd-4929-a257-28db43d938bb · outbound

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

Grand Canonical vs Canonical Krylov Complexity in Double-Scaled Complex SYK Model Addendum to Computational Complexity and Black Hole Horizons

Reference 10

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source=pdf_text observed=2026-08-03T17:58:37.783237Z digest=sha256:00984f3846db060af5e7761a5ffdf32dfb75308e93e441b1fa2ace0360003fb0

Observation 3c8f4b57-52f8-41eb-b7eb-24ea14c2697c · outbound

This paper cites Krylov Complexity.

Grand Canonical vs Canonical Krylov Complexity in Double-Scaled Complex SYK Model Krylov Complexity

Reference 11

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source=pdf_text observed=2026-08-03T17:58:38.012511Z digest=sha256:7f25ae286c76679bbc5347ebf022011707af10f69df1151f49154022869a2ec7

Observation f62c19de-2462-4303-a8e2-ec30c2b872ce · outbound

This paper cites Lower Dimensional Gravity,.

Grand Canonical vs Canonical Krylov Complexity in Double-Scaled Complex SYK Model Lower Dimensional Gravity,

Reference 12

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source=pdf_text observed=2026-08-03T17:58:38.157028Z digest=sha256:38e1b425df0a785e6d28af287a478543ab7cb7d7a5d2c79b6fdc271a512a9425

Observation c156444d-7cb1-435a-a9d7-73135b5a3272 · outbound

This paper cites Gravitation and Hamiltonian Structure in Two Space-Time Dimensions,.

Grand Canonical vs Canonical Krylov Complexity in Double-Scaled Complex SYK Model Gravitation and Hamiltonian Structure in Two Space-Time Dimensions,

Reference 13

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source=pdf_text observed=2026-08-03T17:58:38.324019Z digest=sha256:792ca8ebb46e08981b9a8e83cd570264e40779464639e7f871f7734601428df6

Observation b99fe113-fe17-4740-b12e-9f3dd6ae1b45 · outbound

This paper cites The Factorization Problem in Jackiw-Teitelboim Gravity.

Grand Canonical vs Canonical Krylov Complexity in Double-Scaled Complex SYK Model The Factorization Problem in Jackiw-Teitelboim Gravity

Reference 14

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source=pdf_text observed=2026-08-03T17:58:38.459960Z digest=sha256:3e64e83ea1a2077bc1815dd3855904d5cc91e20e368f177a73d81a222cd04418

Observation 952f5c5e-08a1-4018-8751-cd1503daa3e5 · outbound

This paper cites Gapless Spin-Fluid Ground State in a Random Quantum Heisenberg Magnet.

Grand Canonical vs Canonical Krylov Complexity in Double-Scaled Complex SYK Model Gapless Spin-Fluid Ground State in a Random Quantum Heisenberg Magnet

Reference 15

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source=pdf_text observed=2026-08-03T17:58:38.634972Z digest=sha256:c0370a6e55a5d2a359af9e2c0767b8f8e91bd1fc158be4d658a81e7d5670e0b1

Observation 1d8c82ea-a7c4-402f-a690-16d48d9e04ca · outbound

This paper cites Entangled 2015: Kitaev lecture.

Grand Canonical vs Canonical Krylov Complexity in Double-Scaled Complex SYK Model Entangled 2015: Kitaev lecture

Reference 16

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source=pdf_text observed=2026-08-03T17:58:38.730590Z digest=sha256:35572ff279a9d4219732d4477efcad1e45e2bf7e8f040a941fbe91a4d1cc3328

Observation 7b96c028-ac6e-43f4-99d2-16818fc9a8ff · outbound

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

Grand Canonical vs Canonical Krylov Complexity in Double-Scaled Complex SYK Model Comments on the Sachdev-Ye-Kitaev model

Reference 17

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source=pdf_text observed=2026-08-03T17:58:38.784056Z digest=sha256:370d9f0d440d4765bc958582170cd42f49d7d69d0d705fa3c85e2c2e4cc081fc

Observation bb9a65ce-6bbc-45b9-bf83-bdf0ebd72141 · outbound

This paper cites The soft mode in the Sachdev-Ye-Kitaev model and its gravity dual.

Grand Canonical vs Canonical Krylov Complexity in Double-Scaled Complex SYK Model The soft mode in the Sachdev-Ye-Kitaev model and its gravity dual

Reference 18

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source=pdf_text observed=2026-08-03T17:58:38.964360Z digest=sha256:74fdbaa985b9bfaf742f53de290cf3778a1ea821b4a6d77d1ca9d31baa500e8f

Observation 009e206f-650a-47ae-a593-0ccb9f2fbf3e · outbound

This paper cites Black Holes and Random Matrices.

Grand Canonical vs Canonical Krylov Complexity in Double-Scaled Complex SYK Model Black Holes and Random Matrices

Reference 19

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source=pdf_text observed=2026-08-03T17:58:39.021551Z digest=sha256:5d6f1791ab4804c5903223b4d16b4e00e212ea9ca3f6664b058ed2360c90e948

Observation 55b2f58d-ffe9-4c4e-86e5-8c2f39b693df · outbound

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

Grand Canonical vs Canonical Krylov Complexity in Double-Scaled Complex SYK Model Chord diagrams, exact correlators in spin glasses and black hole bulk reconstruction

Reference 20

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source=pdf_text observed=2026-08-03T17:58:39.140752Z digest=sha256:8dbafa89029a073678d6d854c5c8bf3263de870e717f3fb6647460f66e3381b2

Observation 47ba6cfa-73eb-4f44-9eaa-a8b9d9a6ff68 · outbound

This paper cites Towards a full solution of the large N double-scaled SYK model.

Grand Canonical vs Canonical Krylov Complexity in Double-Scaled Complex SYK Model Towards a full solution of the large N double-scaled SYK model

Reference 21

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source=pdf_text observed=2026-08-03T17:58:39.176992Z digest=sha256:08b0d0f2406cda914558f2c3207ddc1c51f1c9ea7e604277cb6c5ba1fdfab0e5

Observation cb07462c-8c41-48a8-8c78-2a64c4c26383 · outbound

This paper cites Complex Sachdev-Ye-Kitaev model in the double scaling limit.

Grand Canonical vs Canonical Krylov Complexity in Double-Scaled Complex SYK Model Complex Sachdev-Ye-Kitaev model in the double scaling limit

Reference 22

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source=pdf_text observed=2026-08-03T17:58:39.325653Z digest=sha256:4b236f1a289f9516e5cf37c47220692f686552069b73c6366c7dd51ee3d6f3cc

Observation a3f96dc1-8b46-476a-84a9-a8e0a1edff21 · outbound

This paper cites SYK Model with global symmetries in the double scaling limit.

Grand Canonical vs Canonical Krylov Complexity in Double-Scaled Complex SYK Model SYK Model with global symmetries in the double scaling limit

Reference 23

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source=pdf_text observed=2026-08-03T17:58:39.416576Z digest=sha256:c87edde98066d4ec0ed917d85edcd0895af6c95fec0949d94537ed9930328cfc

Observation af5ce593-4ff5-4abc-819a-606151b645a3 · outbound

This paper cites Supersymmetric SYK models.

Grand Canonical vs Canonical Krylov Complexity in Double-Scaled Complex SYK Model Supersymmetric SYK models

Reference 24

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source=pdf_text observed=2026-08-03T17:58:39.483249Z digest=sha256:82888632efd73c636f61a61d4f8bfbcfb4cd9e27641561b5a56a9996866a3bf1

Observation c79b0268-11de-41e8-8ada-72d146dca186 · outbound

This paper cites The double scaled limit of Super--Symmetric SYK models.

Grand Canonical vs Canonical Krylov Complexity in Double-Scaled Complex SYK Model The double scaled limit of Super--Symmetric SYK models

Reference 25

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source=pdf_text observed=2026-08-03T17:58:39.623244Z digest=sha256:4be803a76380c011324b31566c566d8bb8cff8a7eb66064910c64d4612dce1de

Observation 2ad66ca2-f4be-4bc9-a4fb-43dbc615aa46 · outbound

This paper cites Looking at supersymmetric black holes for a very long time.

Grand Canonical vs Canonical Krylov Complexity in Double-Scaled Complex SYK Model Looking at supersymmetric black holes for a very long time

Reference 26

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source=pdf_text observed=2026-08-03T17:58:39.872781Z digest=sha256:c82eb1fcdbaf2676110b0365e259065490dd889377550a414aa1daacd9370cf0

Observation 37d06b35-b5c0-4ee0-8821-c651f809c0d2 · outbound

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

Grand Canonical vs Canonical Krylov Complexity in Double-Scaled Complex SYK Model The bulk Hilbert space of double scaled SYK

Reference 27

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source=pdf_text observed=2026-08-03T17:58:39.961358Z digest=sha256:291b7c07c558ce24de9c63cdf0b92b1c5e6cf85ed3aacee98c652e7d66802dde

Observation 407c3a50-71e2-4069-8eb2-3f58dcc97b9e · outbound

This paper cites Sachdev-Ye-Kitaev Model as Liouville Quantum Mechanics.

Grand Canonical vs Canonical Krylov Complexity in Double-Scaled Complex SYK Model Sachdev-Ye-Kitaev Model as Liouville Quantum Mechanics

Reference 28

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source=pdf_text observed=2026-08-03T17:58:40.088659Z digest=sha256:1f0393e09aa26a8ece5e8651bd1769f641608eadb1bf0d23a866342edf6b6a12

Observation 61034146-786a-4ed4-bcc1-392f2a58e0c5 · outbound

This paper cites Hilbert Spaces of Analytic Functions and Generalized Coherent States,.

Grand Canonical vs Canonical Krylov Complexity in Double-Scaled Complex SYK Model Hilbert Spaces of Analytic Functions and Generalized Coherent States,

Reference 29

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source=pdf_text observed=2026-08-03T17:58:40.244274Z digest=sha256:519e21a476192aa512ede690328e4bc8f8737a6921f2ebfbde760e52614b4da3

Observation 532ba7c5-edc4-4173-99ae-50a10c43351e · outbound

This paper cites A symmetry algebra in double-scaled SYK.

Grand Canonical vs Canonical Krylov Complexity in Double-Scaled Complex SYK Model A symmetry algebra in double-scaled SYK

Reference 30

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source=pdf_text observed=2026-08-03T17:58:40.373720Z digest=sha256:01055d2766752cf8ca6034bf88caa1953197a9dcce33e949acfe12fc63849514

Observation b6521c9c-62e4-4cf2-ae74-3713c5c5ecbc · outbound

This paper cites Operator K-complexity in DSSYK: Krylov complexity equals bulk length.

Grand Canonical vs Canonical Krylov Complexity in Double-Scaled Complex SYK Model Operator K-complexity in DSSYK: Krylov complexity equals bulk length

Reference 31

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source=pdf_text observed=2026-08-03T17:58:40.492169Z digest=sha256:d3477811139ed1165175b8b3bfec0c821c8ccd812c4b39917ac2d0f0cdf57d4a

Observation e38fdb07-2296-48cb-a47c-344179e7a3b6 · outbound

This paper cites Krylov complexity and chaos in deformed SYK models.

Grand Canonical vs Canonical Krylov Complexity in Double-Scaled Complex SYK Model Krylov complexity and chaos in deformed SYK models

Reference 32

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source=pdf_text observed=2026-08-03T17:58:40.658379Z digest=sha256:1b15cefbff3b9d704ee59673ac57ca1a9dbf85c6ee87a0933475b7391a7a91f6

Observation e6546c0b-5228-412e-ba37-3a3e91af251d · outbound

This paper cites Krylov Complexity of Supersymmetric SYK Models.

Grand Canonical vs Canonical Krylov Complexity in Double-Scaled Complex SYK Model Krylov Complexity of Supersymmetric SYK Models

Reference 33

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source=pdf_text observed=2026-08-03T17:58:40.737176Z digest=sha256:efcfc39d4b40fc088650fc66ec30cf7ce3ef7225ec6ae336fb641047fed2ffbf

Observation 89f05189-94a0-4396-9f9d-aeaee1f946dc · outbound

This paper cites Growth of block diagonal operators and symmetry-resolved Krylov complexity,.

Grand Canonical vs Canonical Krylov Complexity in Double-Scaled Complex SYK Model Growth of block diagonal operators and symmetry-resolved Krylov complexity,

Reference 34

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source=pdf_text observed=2026-08-03T17:58:40.942197Z digest=sha256:e2d608e68359e40b1f02d476b4795baf49b1158faa336fe24c8e6ff3dc5a0bf9

Observation 43b6d257-86ae-48c2-a339-db70b6b14667 · outbound

This paper cites Scaling limits of complex Sachdev-Ye-Kitaev models and holographic geometry,.

Grand Canonical vs Canonical Krylov Complexity in Double-Scaled Complex SYK Model Scaling limits of complex Sachdev-Ye-Kitaev models and holographic geometry,

Reference 35

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source=pdf_text observed=2026-08-03T17:58:41.162972Z digest=sha256:1ab2c501c5ac7917f47c66203146c3050ad7e455e223d3670bbb5670f8a2a587

Observation 85eab3ca-a6c9-406b-b2d5-f447f8c17969 · outbound

This paper cites Thermoelectric transport in disordered metals without quasiparticles: the SYK models and holography.

Grand Canonical vs Canonical Krylov Complexity in Double-Scaled Complex SYK Model Thermoelectric transport in disordered metals without quasiparticles: the SYK models and holography

Reference 36

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source=pdf_text observed=2026-08-03T17:58:41.205804Z digest=sha256:1ebc456fbdbacd8e8491a45e415f3671c82e323dab6ca676e82f6f287599f18e

Observation 59416bab-9318-4e00-9cfb-a4b956cb8c83 · outbound

This paper cites SYK Model, Chaos and Conserved Charge.

Grand Canonical vs Canonical Krylov Complexity in Double-Scaled Complex SYK Model SYK Model, Chaos and Conserved Charge

Reference 37

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source=pdf_text observed=2026-08-03T17:58:41.303994Z digest=sha256:340ad2b17d3ca603b035c9413a029841bf935a8a8a107e2fdb46ee49099c0dbe

Observation b115b91f-5d1c-4bdb-8aa5-5b25835a7941 · outbound

This paper cites Notes on the complex Sachdev-Ye-Kitaev model.

Grand Canonical vs Canonical Krylov Complexity in Double-Scaled Complex SYK Model Notes on the complex Sachdev-Ye-Kitaev model

Reference 38

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no resolver link, observed 2026-08-03T17:58:41.427320Z

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source=pdf_text observed=2026-08-03T17:58:41.427320Z digest=sha256:7096e04e743b7ade376450ee3c83d374d89e2b1c8e84c9d6e27f00f118f5389c

Observation cc035258-d909-49fa-bbe1-9485495ed3a7 · outbound

This paper cites A bulk manifestation of Krylov complexity.

Grand Canonical vs Canonical Krylov Complexity in Double-Scaled Complex SYK Model A bulk manifestation of Krylov complexity

Reference 39

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unresolved
no resolver link, observed 2026-08-03T17:58:41.524512Z

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source=pdf_text observed=2026-08-03T17:58:41.524512Z digest=sha256:94f48367546b840fd5bc26352984cbfbdf5adff99788474ca141b203cba10b14

Observation 771ddbc9-ea98-482b-adc2-0095c02dc329 · outbound

This paper cites Geometry of Krylov Complexity.

Grand Canonical vs Canonical Krylov Complexity in Double-Scaled Complex SYK Model Geometry of Krylov Complexity

Reference 40

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unresolved
no resolver link, observed 2026-08-03T17:58:41.697256Z

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source=pdf_text observed=2026-08-03T17:58:41.697256Z digest=sha256:7bc1570178eb28585280b8000dbc8a1d051b9a21b525c2875c5cf106e8951364

Pith citing papers

Observation 32cfed3d-4bae-48f1-97a5-d01856971b56 · inbound

Cosmological Entanglement Entropy from the von Neumann Algebra of Double-Scaled SYK & Its Connection with Krylov Complexity cites this paper.

Cosmological Entanglement Entropy from the von Neumann Algebra of Double-Scaled SYK & Its Connection with Krylov Complexity Grand Canonical vs Canonical Krylov Complexity in Double-Scaled Complex SYK Model

Reference 241

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verified exact
arxiv_id, observed 2026-07-27T02:19:53.299190Z

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

source=pdf_text observed=2026-05-18T00:54:47.284976Z digest=sha256:af06a06338930d907a572bb475095b780e221d97aa5c66b2f98d11cd5e1625a5

Observation 58e953dc-0aae-449e-9c50-f8932433097a · inbound

Probing the Chaos to Integrability Transition in Double-Scaled SYK cites this paper.

Probing the Chaos to Integrability Transition in Double-Scaled SYK Grand Canonical vs Canonical Krylov Complexity in Double-Scaled Complex SYK Model

Reference 131

Resolution
verified exact
arxiv_id, observed 2026-07-27T02:19:53.299190Z

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.

source=pdf_text observed=2026-05-16T14:15:15.772460Z digest=sha256:38f8b2bce1ba88810c43d63f40d7d2ee353df3f6b8b7111003b4f3bc0460fdd4

Observation e77b52d1-559d-4ab9-bf44-7656ee6deb89 · inbound

Deforming the Double-Scaled SYK & Reaching the Stretched Horizon From Finite Cutoff Holography cites this paper.

Deforming the Double-Scaled SYK & Reaching the Stretched Horizon From Finite Cutoff Holography Grand Canonical vs Canonical Krylov Complexity in Double-Scaled Complex SYK Model

Reference 76

Resolution
verified exact
arxiv_id, observed 2026-07-27T02:19:53.299190Z

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.

source=pdf_text observed=2026-05-16T06:36:13.150939Z digest=sha256:3a759cf24788fbc5c9140c3070aee4ef20e410f8d30a88f9c6716e9d639c02d6

Observation 6f0e562a-caaa-4868-8af6-2139f69ab70b · inbound

Quantum gravity around ultracold black holes from DSSYK cites this paper.

Quantum gravity around ultracold black holes from DSSYK Grand Canonical vs Canonical Krylov Complexity in Double-Scaled Complex SYK Model

Reference 87

Resolution
unresolved
no resolver link, observed 2026-08-06T17:42:29.755562Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T17:42:29.755562Z digest=sha256:e80aab0df52d8041ae46f1895155ae5a0a761a0e477a0c07e8f908282780edc5