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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 2026-08-08T06:32:00.761636+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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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-04T21:23:39.092256Z digest=sha256:788da53dea0a4d3a56bbf0d47d3b5958be03a07e94eb5a81293db0bbeaa7be4f

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=sha256:239b08f32ffd90c45ce0bbcc56eb49827ac61e13bd5bacc0a29c9446bef4e528

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-04T21:23:39.300418Z digest=sha256:2b03d104ad7eeb9bcd0d494ea236aa796ef358b4047ef44914b73f06a1698618

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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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T21:23:39.342920Z digest=sha256:4d240c874b27e28a4b445c18edb80ea5d6ab322b745b3005c9bea7b5428db316

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=sha256:1a4d1c777e27510b29c27360deedb1215e94ba3ac07097b870e7e89c1eb12319

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=sha256:3e724ad6842c377c56a57be67d0215e55125c0afdc21f883ccf7b89afa1dc33b

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-reported events for the cited work

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source=pdf_text observed=2026-08-04T21:23:39.597660Z digest=sha256:9e3f3e048822361e94a03546f62f16e5c71904756ae8236e33e5e70b223145d1

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-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T21:23:39.732651Z digest=sha256:cfd65a3f962e63bea9ae260a7e9c1db02e77b5a3f1aa91de4c62a2e241928cb6

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=sha256:8ea9646f487722af8f27abe798b146a77fedf4c4934f88d3e1cabd8fc890ccdf

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-04T21:23:39.991405Z digest=sha256:ea5d0e4b113070444d2cdbf45cbd00672cd8c9c5edc0d675f23dabfb802e9300

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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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T21:23:40.129442Z digest=sha256:22c10a43a2d5007695b7a6f98060b45948cbf6efed5b713b0899048c8abcc31d

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-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T21:23:40.253356Z digest=sha256:d7c34df7bc93dd2c982d0a57792c596c1b0e11988042290bc2b3f5f8c1bb6bf1

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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no resolver link, observed 2026-08-04T21:23:40.366989Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T21:23:40.366989Z digest=sha256:9e501f1a0620c17095ff6be2c09f0d01826d979922b0178a613e774c75dc1868

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-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T21:23:40.466920Z digest=sha256:a7380fe0977b8d4c335de0822fcf0e5122aed092747a60441324436d8f8c24e2

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-04T21:23:40.503232Z digest=sha256:3caf8d1d43e623d90a6512e271cc9053099f37aa32090c690f0b3752e4be3b59

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-04T21:23:40.545666Z digest=sha256:0d5ef3c337a5cfd2d302ba7363d2ca5773eaeca97c8eb0ddc6955cc5b130b45e

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:f2200f5a007ad66b26fbbae9430028ad6eb25d0d968e566b1046021f6b0f5dad

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-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T21:23:40.788599Z digest=sha256:02794beb799a7bdf099be06988654fea3f77ef91755c006289a24b7d23cd1d18

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-04T21:23:40.889548Z digest=sha256:a1092e537e3436e5786b0a2cba76f6fba2709b25f010f11b390713f86bc542b2

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-04T21:23:41.006346Z digest=sha256:c3a82ebf607a35a885cb9353f3e4a3fe151c6f481079ced4640a6b0ed1e47335

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-04T21:23:41.118927Z digest=sha256:7b781054963d5148d2a85c6df3e33d25df32e05d7710ffab01c9c99014500a75

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-04T21:23:41.199412Z digest=sha256:e61757968c6008f6422f4222bb0d6f937032f8394468ea629f5c5ff108d8facc

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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verified fuzzy
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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-04T21:23:41.272918Z digest=sha256:661b39d0fa5cd9a5aa07c6dc56c2289fce6fef9e8ea43f4790ef1b785bfbc8aa

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-04T21:23:41.387498Z digest=sha256:bdf7120cf16b7101d908dd12592fcbf704f792790aec950ac27454c7a7948f4b

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-04T21:23:41.522907Z digest=sha256:cbe5772e56a7393e31e248bf3d66ef32c4657217184517f778f4a4b50967fd54

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:cb25b6ae4f9e6f7d9f39855c42e7457e63b77a22897efe149bf3d7da0637e844

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:cdfb326fd6c92928a361e6149ba383b7b0a96885c42947a47c43416224354c2e

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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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-04T21:23:41.853598Z digest=sha256:b0d1875ae732b6adba25fb5cc87ba882e48a08c5c25c9e11e395a18e039aed02

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-04T21:23:42.017125Z digest=sha256:841ef780381f3f0106363cc9911f63c2ae4890cabaf458f081466b1faa609fc5

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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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-04T21:23:42.198340Z digest=sha256:6d9ca6b6e9a60bd0f0b11fed5f35b93a03399c3156aa748e3511b5d509a00038

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-04T21:23:42.259069Z digest=sha256:06f92a9e6ee600ec311adb8bb6be0655a74ba32046ee116d17b7ce0170bd0a78

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-04T21:23:42.378028Z digest=sha256:43d78fb6c5b6ab3139403ab8a3b406197302bbc6bc5939104460f68d2fa6e31b

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-04T21:23:42.489646Z digest=sha256:8a9f23725258c44ea785f50d06567bb87487e39ce22b66d55aa535ca6f108b04

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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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-04T21:23:42.613779Z digest=sha256:32d64976c8ac4118ff9045c3cdc5052091e667d241516298381d26f5023c592c

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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unresolved
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-04T21:23:42.664836Z digest=sha256:68343fc09e23f9219f096edc53245728f2f6b4a2d82c4e70e795746ca397edca

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

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-04T21:23:42.729964Z digest=sha256:b39b5caced44e1f68403827ad11b90eca25e5ad012806204eef377e0fe43fdd6

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-04T21:23:42.915166Z digest=sha256:bef4af8d8cd1f566d45bf3510eb162c0a3fb8a5a6157cf9ce92214ec18e19afe

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-04T21:23:43.042311Z digest=sha256:010920bc0c79369ad2a509bcc9208784970922bbfe5742579853bdbdd9899a1d

Pith citing papers

No inbound Pith citation observations are available.