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Paper Citation Record · LEDGER

(A)Symmetric Complexity and the Quantum Mpemba Effect

As of 9 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 2026-08-09T06:31:02.800959+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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-04T21:23:39.092256Z digest=sha256:7eb481672d82fd94689ed132f054bf12752e2729fba7779a38209c107ee002f7

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=sha256:262c9a3e7e2c3c0c6a0ed00072fb89aebd59e6c6dc2f6def7169879dfccca426

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-04T21:23:39.300418Z digest=sha256:47d872c03701958e8081f807a73d684abbc4726bd7d57dab8332a16319b3ac53

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:bdb7275a6535cfedf4dc0b164d93505f6662445eb8d271a5d8e118ce90812e09

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:a9da77cf4e9b8c357a071d55cf8eef495a54d98b1e5f0e193963f6a52670bc3b

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=sha256:74e643b29cb8fdecdb6ff954ee14dcf44cba1319d11773513e3f004557824f24

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:bf3face632afb9446b971026a8c612bf2e53f9a1ad21024acd4d04d744cd365c

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:f5927b1b1a31d85bac9460e484dcc0ef00e35530f5d63883b63171f312ae1151

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:deb8c25e242fff0236f697b3e0f13d4156794f6816ad101eb42b8102f3d858e7

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
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-04T21:23:39.991405Z digest=sha256:02b022e97fbf12e320f202ca4de933886ad432b6790c6b58c02554cc6cefc4d7

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=sha256:2a2405166d0b978a34119dffe343dbe57d4474b17fcb0f7211d8a7fc291f1bf1

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=sha256:8f748a91ec3193b6cc55124b7e7c2153f41ca09d63a5e22f21a8066010e5944f

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=sha256:775c3338dd9e3c897cf3dbbcc98bf0f139768d8c9c1e29c34a5257839103c4cf

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=sha256:08196a22edfa7264a01359a6819d066a0de34b1fdcceee5f9311238a8bad9272

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-04T21:23:40.503232Z digest=sha256:75adf93d1c6f760dcc6da44bea07cb8eab2551b48b02b7314f217127af8e76b4

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-04T21:23:40.545666Z digest=sha256:dba55937309650fe6c85635d9ce169997f787b7a64d62f3af160da58fa2cdfa8

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=sha256:4e6e8a159c2d511dc73a68a545378935c54154895420a8e6398600dac1dafe73

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=sha256:7a9bcc3758a04ae1230b17b81f4aeaeb9a4ae695d8bd57bc3c798fbd0d18a800

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-04T21:23:40.889548Z digest=sha256:ea0f25d0e73be29e64e31e51a3c867c7448718c29af57bc5da962938d1e2dc0e

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-04T21:23:41.006346Z digest=sha256:62673ffefc01ffd4b7744aaa37f112aac76163838e9f4e892a115cfeee13952f

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-04T21:23:41.118927Z digest=sha256:6ca70e0cb6c497a26ba31a3faddd7b54e51ee516d6e66513af65df40ac15d10b

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-04T21:23:41.199412Z digest=sha256:8156b10583776847a003863941e4af180d4f43012e511b80932b178af224f920

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-04T21:23:41.272918Z digest=sha256:8b3c036b2e75cc8d6451d941f2cf30a09c4e0ad7d815064ac5df8cf656163928

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-04T21:23:41.387498Z digest=sha256:74734961010631585add580051b5c932f3c3402f7a9f85adf20e8bf83cc9afb4

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-04T21:23:41.522907Z digest=sha256:f4fd64a4c64c5c2ad9904dd3c338ef2cafb0ccd4e21dfb6fef789278cd801bea

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=sha256:0889e2ff7e37f40582ff204270194bb6738e3c8fc881f682a6af10008c1f3211

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=sha256:8d3b81dd9671f43142f64617205efb361a70f1393570acb87f2c46e523503099

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:f17539d39cf82a44b97385889b752a4b65621ac7510f39965e870cb3a576ed16

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=sha256:1750f06eda73106ef790c261a445456be94991298eeabef1834ee61dbb90960e

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-04T21:23:42.198340Z digest=sha256:906e52d43f52430baa81bf60249ca4402144537b1bbd139ef044df953378c999

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-04T21:23:42.259069Z digest=sha256:a5d58cf12f3873c1d2b7060bcb2be6e3d92f2b8e79a40df6d7a8de94e2418b12

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-04T21:23:42.378028Z digest=sha256:1a5a0e13a3fcf624ff43d800bf78e28f47be2bfb027280e47e25905dc02a513b

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-04T21:23:42.489646Z digest=sha256:592fe279b2b19bc4c7ae4cc939d7e4e99f8a5edae71004922491430a9ac41878

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-04T21:23:42.613779Z digest=sha256:fd5b9faaab1f85a45a487ac2169904ab949fd30e992e3e86e9e90bfbe60af9b4

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-04T21:23:42.664836Z digest=sha256:2a94ed8a0e251d62b1159188ff7e35a285ce0b9ab76b7a683ac70c2231cb0534

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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raw_fallback, observed 2026-08-04T21:23:43.978647Z

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-04T21:23:42.729964Z digest=sha256:ee5adf6ebb57e57393f7c58cf0accfd402e95def717b4ab06834020a64ce0387

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-04T21:23:42.915166Z digest=sha256:57f056c9f52d42e9979d2b04b16c4a48af3e23a7b0b13618346a4a51502740cd

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-04T21:23:43.042311Z digest=sha256:4d968059be0b81ece7b485a4c59724f88857f0cd0426c9399b80e4f247642ad5

Pith citing papers

No inbound Pith citation observations are available.