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Paper Citation Record · LEDGER

(A)Symmetric Complexity and the Quantum Mpemba Effect

As of 21 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 2026-08-21T06:32:19.484+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

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  • 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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-04T21:23:39.092256Z digest=sha256:f21b5aa2f1c0a55f4a38d1395f0959d75e17978f2afa98d42c3ff45c2bc76a65

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=sha256:5bca0720090a9abc999ec67663759972925eff5d77534763def10694a0269c8f

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-04T21:23:39.300418Z digest=sha256:2c4e634d8b40c89eb7717c39bd1b88137d8d16ff2f32512afc5a0c5ee94d80cd

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=sha256:9e20a6317a40d60fc020a011e1ca9a48c505deeaa1c68070ebaec6f6ef67b4d4

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:d104898b4a2b5bfa4e784978a3351ee55aaa0c36f36c44e8dfb246e61be9fa5b

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=sha256:5aefaec67aa8395359415b9e05ae0f0fd534ac1c83974e398796601f0b63d718

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=sha256:9e7bc8d2226754a679c7e7482251aa3900672d0d0e6fd11fcd508bb88a5123c4

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:e9a1b03ece3c67618234a50b8a8d33d61a7ee1265fcc63a962d8ab06c24969e6

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=sha256:1e0399cc7ebeb0ec0e20bb670d2762940dcb0158dce43dec0030c822f8bea874

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

This paper cites Abanin, E.

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

Reference 10

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-04T21:23:39.991405Z digest=sha256:704ccc669cee1489a45b631552b4a1c68c5bcc30d9cdb7a76aca92616e1da81c

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:e62a158aa3de9dcfd4c63fc01a9ba7d7919a542de354b3278ea8421e75b2539b

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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source=pdf_text observed=2026-08-04T21:23:40.253356Z digest=sha256:1b42e9ec581c5f25a96f6d2705201343b32480d6daafdd24ecc000d085b95b21

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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source=pdf_text observed=2026-08-04T21:23:40.366989Z digest=sha256:5e33b5a2cc3b65e03ff29d677eca80d6bd3ed1a79ff262a5163d2d6a0a8ee379

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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source=pdf_text observed=2026-08-04T21:23:40.466920Z digest=sha256:01f1e0bc69051c29c341dfab8edc780979dceafe853293ca7b45e97c12355cc9

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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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-04T21:23:40.503232Z digest=sha256:1aeabf39ae874a0051607c8e633fe00091a3aa53198406373dcd08112253cc76

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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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-04T21:23:40.545666Z digest=sha256:7c2f35f309eddad04ae0345b7fbabaae54fd8d6dbbf78bf3b3a0e72064ced93c

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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source=pdf_text observed=2026-08-04T21:23:40.638128Z digest=sha256:47af1d5ceb218fe28060f1e0aeff952ce61052ff9471d41302f1135892d51d73

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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source=pdf_text observed=2026-08-04T21:23:40.788599Z digest=sha256:564265e92854667417ba03ece0cc268235ee3010b40917c55d07566c0d74c7eb

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-04T21:23:40.889548Z digest=sha256:c77414ef257aa6b52137240128d985c376b1457d74ca8b3d9bb9ccdd312b0761

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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source=pdf_text observed=2026-08-04T21:23:41.006346Z digest=sha256:8816468a76545ab183796e0c2984bcac64d40f054a58f6c3768b25caf29b52ff

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

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(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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-04T21:23:41.118927Z digest=sha256:c12ec57c242d3455387ed3541907ca1a06fedff422036d67c17b50517ad4a8c7

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-04T21:23:41.199412Z digest=sha256:4114c974e8a1addc421dabaa0d987aefd49c0eee44f59d6c3f65e7097d430af2

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-04T21:23:41.272918Z digest=sha256:74e2f0b0a0f7421b75e2b62c499114c6cbca83e01c1eeaf65eb9b563ed7dfa58

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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source=pdf_text observed=2026-08-04T21:23:41.387498Z digest=sha256:e4160756f14c00a96a0f998c48be0f8c3a9240f2b7bfab7eb1ae5c108906e516

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-04T21:23:41.522907Z digest=sha256:dae51b1f7850da32403d1a4115f01abd4add1e52fdf8a5e5b4aa487fb778ae40

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=sha256:58d58e61bf4f4295a027f4b4f9c27988a1372cde5e8c4faf65cf5f51b5125552

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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source=pdf_text observed=2026-08-04T21:23:41.727207Z digest=sha256:94893f9b053106daec3596c61bdf636a4b81b0e96225ccd63f6f0c86c18c48e0

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=sha256:9da690ffb11390ec3a2de2a4803dfb8ca04ee9719fb05ec2b13f4c5513cc74c9

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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source=pdf_text observed=2026-08-04T21:23:42.017125Z digest=sha256:18fc709ca6ecfe72a7b9ef5da8ea52e1dd1628d33d8a422d393b6ebc3510a0cb

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-04T21:23:42.198340Z digest=sha256:0d8020043cf080d98cef67eeafde3f1d263f687f2e7f29cf2090dc0ec15dda0b

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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source=pdf_text observed=2026-08-04T21:23:42.259069Z digest=sha256:1368ceb0d6c222fafdf6e1df05ce76172176f7a9dfa82f1955fa33568ebcaba0

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

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

Reference 32

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-04T21:23:42.378028Z digest=sha256:ce486221e7edb03c287e75b010e85897446e8fbc89eb8118722d4abb2c6e79ea

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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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-04T21:23:42.489646Z digest=sha256:9017ccdbe9dbdb8cff118fed38dd91b4d4d6b732d0811330bfc65fdb60d6a25c

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-04T21:23:42.613779Z digest=sha256:2f1f4c5d28269de521c57c8a4f959ba76e404c4b1a0e0135fb81d33a5e3de21b

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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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-04T21:23:42.664836Z digest=sha256:085778a732c60312a54ee76fff9b074d179faa1c7be419b36706d2a1732fbec3

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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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-04T21:23:42.729964Z digest=sha256:f708cdb52f30a97b619822bbfc346d86acd5c5316614f06a2d5461c403530e90

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

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-04T21:23:42.915166Z digest=sha256:1c4246ba9a2fc003d46666a1ad3c5f124b2045b02e05ef574a27591e9d44b6b7

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-04T21:23:43.042311Z digest=sha256:7098f186e66ec994b0a0367db51337b64ff8ed2f8420537aa95413b41446450b

Pith citing papers

No inbound Pith citation observations are available.