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Paper Citation Record · LEDGER

(A)Symmetric Complexity and the Quantum Mpemba Effect

As of 8 August 2026, this Paper Citation Record lists 38 of 38 outbound references and 0 inbound Pith citation observations for arXiv:2509.08078.

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

pith.paper-citation-record.v1
2509.08078 v1

Coverage vector

measured 38 of 38 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-04T21:23:43.042311Z

measured 38 of 38 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+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

38 of 38 outbound references displayed

  • verified exact0
  • verified fuzzy14
  • unresolved24
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation dbb2c473-ef00-4cdd-98b6-f2e91d742c4e · outbound

This paper cites Mpemba and D.G.

(A)Symmetric Complexity and the Quantum Mpemba Effect Mpemba and D.G

Reference 1

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-04T21:23:39.092256Z digest=sha256:ddfb87d71c75789903ff5af1e722292841adc943a083bf2955c6f915722e6aa7

Observation 42972139-1b53-40a3-a6b6-01bcb0520bf4 · outbound

This paper cites The quantum Mpemba effects.

(A)Symmetric Complexity and the Quantum Mpemba Effect The quantum Mpemba effects

Reference 2

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source=pdf_text observed=2026-08-04T21:23:39.184993Z digest=sha256:2f3a4d159c90166c131bf96b5b75606dca8377dcfceaa1cf8c44b7e60cc6ebb5

Observation 0763616e-7e7d-485c-ab24-1481656e8cad · outbound

This paper cites an unresolved cited work.

(A)Symmetric Complexity and the Quantum Mpemba Effect Unresolved cited work

Reference 3

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-04T21:23:39.300418Z digest=sha256:51ebae7f5b0fea8a0e6c59be8538f3b662731c466acf58ca858eecc3e14875be

Observation 5472c062-f5f8-452c-bacd-f5288a6b7bac · outbound

This paper cites A Universal Operator Growth Hypothesis.

(A)Symmetric Complexity and the Quantum Mpemba Effect A Universal Operator Growth Hypothesis

Reference 4

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source=pdf_text observed=2026-08-04T21:23:39.342920Z digest=sha256:decfced17fe2729b5ec003348857dc463a07b5c21e96c78456d316b69caa15c3

Observation 3da80f7d-6a8d-4f5e-9a19-75f2aede8091 · outbound

This paper cites Quantum Dynamics in Krylov Space: Methods and Applications.

(A)Symmetric Complexity and the Quantum Mpemba Effect Quantum Dynamics in Krylov Space: Methods and Applications

Reference 5

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source=pdf_text observed=2026-08-04T21:23:39.424239Z digest=sha256:fe18f4bd78409be01d91ea1c902af4f5f3a860f93788140dbd1ea0bc0eb89e29

Observation 8f925ef3-7df2-409a-94f3-0b8a0b6779df · outbound

This paper cites Krylov Complexity.

(A)Symmetric Complexity and the Quantum Mpemba Effect Krylov Complexity

Reference 6

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source=pdf_text observed=2026-08-04T21:23:39.503846Z digest=sha256:90ccf9bba625c1c9e57f1f529d0896d6d6c79ec3212a95acd1f55bcc0f12e12c

Observation a82e0adb-b505-4944-9c5f-ea0eecf4bea5 · outbound

This paper cites Baiguera, V.

(A)Symmetric Complexity and the Quantum Mpemba Effect Baiguera, V

Reference 7

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source=pdf_text observed=2026-08-04T21:23:39.597660Z digest=sha256:3beef8c23fec8b0bf229888ead0df55fbafe9cea00d4de5a58096b68508665b3

Observation 79e1c67b-895f-40f0-9703-f357d6489fed · outbound

This paper cites Nielsen and I.L.

(A)Symmetric Complexity and the Quantum Mpemba Effect Nielsen and I.L

Reference 8

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source=pdf_text observed=2026-08-04T21:23:39.732651Z digest=sha256:1998d9541f075e5792553fb3576eb146e5db9bdb6e98dc9f087c8892a3ef05d4

Observation 0fbdcf1a-2915-40a2-9a3a-8ec543df230e · outbound

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

(A)Symmetric Complexity and the Quantum Mpemba Effect Quantum chaos and the complexity of spread of states

Reference 9

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source=pdf_text observed=2026-08-04T21:23:39.842010Z digest=sha256:927971fab3918cb27e5b85444870d6d33ed8306dd0fabfa203f35e35a6c28bf9

Observation 99460930-e0fb-453c-8be5-90c7e7361d0a · outbound

This paper cites Abanin, E.

(A)Symmetric Complexity and the Quantum Mpemba Effect Abanin, E

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-04T21:23:49.248388Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-04T21:23:39.991405Z digest=sha256:2c1b8fa1c05f9149a3bc0872d9b2446a4f696e4af8498f87c5efa8cc8a1e4f8a

Observation 2bbc2c48-a396-41fb-ae31-5be6fd6ca1b5 · outbound

This paper cites Complexity and Operator Growth for Quantum Systems in Dynamic Equilibrium.

(A)Symmetric Complexity and the Quantum Mpemba Effect Complexity and Operator Growth for Quantum Systems in Dynamic Equilibrium

Reference 11

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source=pdf_text observed=2026-08-04T21:23:40.129442Z digest=sha256:34ad3928bac9a9547a53bb3f5ac482dc029a8655e5f760887b672c2edffba91b

Observation ad06dc27-c140-4f31-8238-1246d65a0a28 · outbound

This paper cites Spread complexity and localization in $\mathcal{PT}$-symmetric systems.

(A)Symmetric Complexity and the Quantum Mpemba Effect Spread complexity and localization in $\mathcal{PT}$-symmetric systems

Reference 12

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T21:23:40.253356Z digest=sha256:d43c1750c33d004fab1ed2d7a8162a409f3a15446887881b2450c70d3c20210f

Observation dba0c32b-3edf-4da6-863e-6beb09eb672f · outbound

This paper cites Krylov complexity is not a measure of distance between states or operators.

(A)Symmetric Complexity and the Quantum Mpemba Effect Krylov complexity is not a measure of distance between states or operators

Reference 13

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T21:23:40.366989Z digest=sha256:7f8ecd79e30f2f72a2d273a5267a3f9d37af2226c5e5485df7a307aa383280f8

Observation 1fdc28d4-2613-4459-9b58-3d689fec8579 · outbound

This paper cites Caputa, G.

(A)Symmetric Complexity and the Quantum Mpemba Effect Caputa, G

Reference 14

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T21:23:40.466920Z digest=sha256:7ed3a731b9afdbeeee4be818a0a04e1a1d0e6b526a1effedf3efb9fe64531154

Observation 91d6f0b3-92b0-43a1-9ea7-bb8c9769c135 · outbound

This paper cites Aubry and G.

(A)Symmetric Complexity and the Quantum Mpemba Effect Aubry and G

Reference 15

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-04T21:23:40.503232Z digest=sha256:a18f7d62281f43f702ea77514fe77316766a8a8c150b97f8cb8b27131b1ac389

Observation 130d095a-548c-46c8-82e4-066cbff0ccfc · outbound

This paper cites Deutsch,Eigenstate thermalization hypothesis,Rept.

(A)Symmetric Complexity and the Quantum Mpemba Effect Deutsch,Eigenstate thermalization hypothesis,Rept

Reference 16

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-04T21:23:40.545666Z digest=sha256:66be2a26625264572d72acf0e28cdf87989ec78b49e974e88cd3a760a5bb4c02

Observation f9d1630e-10b6-48aa-898b-852168936af7 · outbound

This paper cites Many body localization and thermalization in quantum statistical mechanics.

(A)Symmetric Complexity and the Quantum Mpemba Effect Many body localization and thermalization in quantum statistical mechanics

Reference 17

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T21:23:40.638128Z digest=sha256:5cb2955e753a703183c7932382acb13ab60992853f166fc19b4991d0f9f6710f

Observation cc974a8b-14f6-44a7-be3b-c2ecb63135f8 · outbound

This paper cites Universal dynamics and renormalization in many body localized systems.

(A)Symmetric Complexity and the Quantum Mpemba Effect Universal dynamics and renormalization in many body localized systems

Reference 18

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T21:23:40.788599Z digest=sha256:b8ddbd5739febe6228fc121ab7998d88bf2a8df4b1086d85577cc20bf72c1616

Observation 96ee3191-8cc8-4c45-9da7-b79043b4f28b · outbound

This paper cites Liu, H.-K.

(A)Symmetric Complexity and the Quantum Mpemba Effect Liu, H.-K

Reference 19

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-04T21:23:40.889548Z digest=sha256:a6b65e309419606f910626deb0436fb3be7126a485b5c21de06ad347384391a1

Observation 6af7f3d1-372c-473d-bd94-a273cc2fc37b · outbound

This paper cites an unresolved cited work.

(A)Symmetric Complexity and the Quantum Mpemba Effect Unresolved cited work

Reference 20

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-04T21:23:41.006346Z digest=sha256:78ecf0759589cb0620d60e3d087828593eec1c10acbb660e5287f016f1100465

Observation f6411374-a672-4e95-a3f4-725837666a17 · outbound

This paper cites an unresolved cited work.

(A)Symmetric Complexity and the Quantum Mpemba Effect Unresolved cited work

Reference 21

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-04T21:23:41.118927Z digest=sha256:6b5f3da2cbd8e22844f7c2e55f96308548a89807ae9e12829bfd9c03d9a8b284

Observation 131ee91d-0393-4608-ad4a-e28b094053c1 · outbound

This paper cites Viswanath and G.

(A)Symmetric Complexity and the Quantum Mpemba Effect Viswanath and G

Reference 22

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-04T21:23:41.199412Z digest=sha256:69e721710c74fd7897f6520d4c9214a49550783e71d9061c00314c827b8430b8

Observation 55c351fd-65b5-471b-82d7-63f9cf469bcb · outbound

This paper cites Caputa, G.D.

(A)Symmetric Complexity and the Quantum Mpemba Effect Caputa, G.D

Reference 23

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-04T21:23:41.272918Z digest=sha256:95fb7ff37ca5d15d4d960a4d710e5248e659b7c50ffb94e37b6ba16f3a15ddbb

Observation bf28eb9d-b93f-4dc1-91da-42348eb9f985 · outbound

This paper cites Chitambar and G.

(A)Symmetric Complexity and the Quantum Mpemba Effect Chitambar and G

Reference 24

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-04T21:23:41.387498Z digest=sha256:38be2c013064b35fbe82d7b049dd91495ec2094bb3b1a0b5343ec95de43108f8

Observation a6d6ac34-8b79-4efd-ab96-f829d06c9489 · outbound

This paper cites Nandkishore and D.A.

(A)Symmetric Complexity and the Quantum Mpemba Effect Nandkishore and D.A

Reference 25

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-04T21:23:41.522907Z digest=sha256:997c129e5eccfd2094a133f53a2a629af393d9a6a8f70197c17907e9bc1a7cf4

Observation 4181f93e-13d8-40df-acfc-e5ea9fa60f4d · outbound

This paper cites Quantum chaos, integrability, and late times in the Krylov basis.

(A)Symmetric Complexity and the Quantum Mpemba Effect Quantum chaos, integrability, and late times in the Krylov basis

Reference 26

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source=pdf_text observed=2026-08-04T21:23:41.606675Z digest=sha256:e103d7a483ea680f44015db8469e1c01e8d329afc09d44c54f9f6cd66801503e

Observation 9f70042f-746d-44db-80d1-2be535b9330e · outbound

This paper cites Krylov complexity as an order parameter for quantum chaotic-integrable transitions.

(A)Symmetric Complexity and the Quantum Mpemba Effect Krylov complexity as an order parameter for quantum chaotic-integrable transitions

Reference 27

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T21:23:41.727207Z digest=sha256:959656fc6e28d7940968ea723f7ab019cd24ba67aff0689bdb7bc3e97318b652

Observation fff7a371-5392-4613-83c3-6bfda4ba1749 · outbound

This paper cites Horodecki and J.

(A)Symmetric Complexity and the Quantum Mpemba Effect Horodecki and J

Reference 28

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source=pdf_text observed=2026-08-04T21:23:41.853598Z digest=sha256:2754a70f5bcc7906fde550a13de6d1321bbf13a59c2360dda9637225007b83fd

Observation 7a260f93-6b65-4f9c-9df4-781853e8410c · outbound

This paper cites Van Vu and H.

(A)Symmetric Complexity and the Quantum Mpemba Effect Van Vu and H

Reference 29

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-04T21:23:42.017125Z digest=sha256:070bfc8e83fabdcbd788f15abf142a561c980421aae6e41ff9f58af7022fb274

Observation a3a5b8b4-d1db-45b5-9b82-e79264508d3b · outbound

This paper cites Brand˜ ao, M.

(A)Symmetric Complexity and the Quantum Mpemba Effect Brand˜ ao, M

Reference 30

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-04T21:23:42.198340Z digest=sha256:9a4886ac2d456248cb56261c4c1c4e454221587602746876e540ce059f2bb285

Observation e7ea40fc-a796-4e84-b76c-684552e736f4 · outbound

This paper cites an unresolved cited work.

(A)Symmetric Complexity and the Quantum Mpemba Effect Unresolved cited work

Reference 31

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-04T21:23:42.259069Z digest=sha256:607134812273a72b8de94569496c5939a2b30ec022bc0f5b70b3e848968f4331

Observation c2928c20-efbc-4058-9341-fe5b6d22c5a1 · outbound

This paper cites an unresolved cited work.

(A)Symmetric Complexity and the Quantum Mpemba Effect Unresolved cited work

Reference 32

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-04T21:23:42.378028Z digest=sha256:2d9a42fb03dce4d4ae4f7162f18cf2a5fb824a10ff8a7dcb3b0070b422516d72

Observation ede5c0ed-56de-4c06-9349-08d7cb9e0318 · outbound

This paper cites an unresolved cited work.

(A)Symmetric Complexity and the Quantum Mpemba Effect Unresolved cited work

Reference 33

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-04T21:23:42.489646Z digest=sha256:1263c90d5ac0c344ff27a4fa315c1c6062655d2667bd43f48a3d77ce59e37cb6

Observation 3e28a0db-edf6-4552-876a-cfbbffe9225e · outbound

This paper cites an unresolved cited work.

(A)Symmetric Complexity and the Quantum Mpemba Effect Unresolved cited work

Reference 34

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-04T21:23:42.613779Z digest=sha256:9f4b265b70afe632c82bc6b4cbe8e9568f01ce60d2f52d3a0678f13aafbc47b5

Observation 2123dd00-6494-4596-822e-4509df0b313c · outbound

This paper cites an unresolved cited work.

(A)Symmetric Complexity and the Quantum Mpemba Effect Unresolved cited work

Reference 35

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-04T21:23:42.664836Z digest=sha256:7e9623730dd05cb28c2d54d2125b03a67100074464791015b95aef023c719d0e

Observation 4930af25-0ca8-4c44-972f-2061ba8b87df · outbound

This paper cites an unresolved cited work.

(A)Symmetric Complexity and the Quantum Mpemba Effect Unresolved cited work

Reference 36

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-04T21:23:42.729964Z digest=sha256:23d6d4a04774052618588a0cdd186775036545668720d4543d9b049713cfcffe

Observation 468923ec-af92-4fdd-b389-6197b3eb2548 · outbound

This paper cites The height of the resultant curve is a measure of how far the population induced by the tilt operation is from a thermal distribution (see Fig.

(A)Symmetric Complexity and the Quantum Mpemba Effect The height of the resultant curve is a measure of how far the population induced by the tilt operation is from a thermal distribution (see Fig

Reference 37

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-04T21:23:42.915166Z digest=sha256:918bed7fed704872cce43152f0b9e0569d24e603f574857fa14a91e723dc1182

Observation 54f118f0-2c3b-42f6-aaf9-26f967f5df04 · outbound

This paper cites The dotted line is used to indicateW= 1.0, which corresponds to the lowest value of the potential strength for which the N´ eel state has a monotonically decreasing divergence.

(A)Symmetric Complexity and the Quantum Mpemba Effect The dotted line is used to indicateW= 1.0, which corresponds to the lowest value of the potential strength for which the N´ eel state has a monotonically decreasing divergence

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-08-04T21:23:43.311796Z

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-04T21:23:43.042311Z digest=sha256:cb4f16d32be57d0648deba7bfac2171731cdf70aff0f9711fd9ea74ebd6e41e9

Pith citing papers

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