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Paper Citation Record · LEDGER

Coexistence of mixing and rigid behaviors in ergodic theory

As of 18 August 2026, this Paper Citation Record lists 37 of 37 outbound references and 2 inbound Pith citation observations for arXiv:2504.17555.

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

pith.paper-citation-record.v1
2504.17555 v2

Coverage vector

measured 37 of 37 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-16T10:48:46.078008Z

measured 39 of 39 standing notices

One-hop event checks from named stored sources.

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

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-05-25T05:03:45.402239Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: arxiv_reference, observed 2026-05-25T05:05:22.843884Z

Reference resolution

37 of 37 outbound references displayed

  • verified exact1
  • verified fuzzy18
  • unresolved18
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 63d93b1f-0824-4d81-bbef-5b4c932b97f0 · outbound

This paper cites an unresolved cited work.

Coexistence of mixing and rigid behaviors in ergodic theory Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-16T10:48:47.649488Z

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.

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Observation 229f2aab-e0c3-4fbb-aa88-44c4ea1cfd9b · outbound

This paper cites an unresolved cited work.

Coexistence of mixing and rigid behaviors in ergodic theory Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-16T10:48:47.638850Z

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=2026-08-16T10:48:45.303384Z digest=sha256:988c8a160b813b99faa5881f9095322b225f62a3ded15d6d1ae8723c2c3a3bc2

Observation 5bc1928e-cbdc-4328-995c-a8d27df61d63 · outbound

This paper cites Bergelson.

Coexistence of mixing and rigid behaviors in ergodic theory Bergelson

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T10:48:47.630377Z

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=2026-08-16T10:48:45.307689Z digest=sha256:e0fb53d60e2dc8aab6f3a9a63fed6fd0aef2f78db61e57484170e76cbc05bb54

Observation f54c2a1e-aac4-4c49-a5b6-5d0a7460e4cf · outbound

This paper cites Bergelson.

Coexistence of mixing and rigid behaviors in ergodic theory Bergelson

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T10:48:47.620833Z

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=2026-08-16T10:48:45.311568Z digest=sha256:6659c5bf71e891b0f51c5af449449e10d78a742a617d669e7a940c0053a8751a

Observation 6e760b86-3f8d-43ba-a5f5-246586166373 · outbound

This paper cites Bergelson and A.

Coexistence of mixing and rigid behaviors in ergodic theory Bergelson and A

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T10:48:47.582406Z

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=2026-08-16T10:48:45.451432Z digest=sha256:4d4e3f8c1ec67fd00fdcc695036bfd76ee97b5b9500d364c21802893903d5ccb

Observation 753e1f8c-434e-462d-897a-26466466dd26 · outbound

This paper cites Bergelson and A.

Coexistence of mixing and rigid behaviors in ergodic theory Bergelson and A

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T10:48:47.434432Z

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=2026-08-16T10:48:45.569103Z digest=sha256:a708aa86800c38665957ec4dcb832c1dbec97bd9f3518b426f580df18e458705

Observation 3efcf6bf-42f2-4901-b1ec-e3994b6cd406 · outbound

This paper cites Bergelson and R.

Coexistence of mixing and rigid behaviors in ergodic theory Bergelson and R

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T10:48:47.424330Z

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=2026-08-16T10:48:45.573827Z digest=sha256:33764c961ab27ebe6fe4825a14c2973f99805fb70a48a0a2bb0e33301d9fdd6c

Observation f164af86-9cab-4a50-bdc0-fbc832ced4ca · outbound

This paper cites Bergelson and R.

Coexistence of mixing and rigid behaviors in ergodic theory Bergelson and R

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T10:48:47.413225Z

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=2026-08-16T10:48:45.577057Z digest=sha256:c1b75cafeb7fa086796518d6c12c3404982e375e38c309a6b611b1847a091498

Observation 4784ce2b-8dad-49f0-8830-8ecb2e57ac3b · outbound

This paper cites Bergelson, H.

Coexistence of mixing and rigid behaviors in ergodic theory Bergelson, H

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T10:48:47.292987Z

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=2026-08-16T10:48:45.580201Z digest=sha256:1b04c74fcf760373fd4cb8d143b857f09967b512ebcb9a7ee2650e760f6cd7c3

Observation 5ab2cb72-1860-4de3-89a4-baf225f054ac · outbound

This paper cites Bergelson, B.

Coexistence of mixing and rigid behaviors in ergodic theory Bergelson, B

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T10:48:47.282256Z

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=2026-08-16T10:48:45.583363Z digest=sha256:da1abd58072bb85dad0d0aa6459a430cb9d2038f6b2e2da5764297135e874afd

Observation f10fb257-51e9-4397-9aa8-04c25977b552 · outbound

This paper cites Rigidity and Non-recurrence along Sequences.

Coexistence of mixing and rigid behaviors in ergodic theory Rigidity and Non-recurrence along Sequences

Reference 11

Resolution
verified exact
local_arxiv, observed 2026-08-16T10:48:46.253382Z

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=2026-08-16T10:48:45.590794Z digest=sha256:9220895791bd94cbb57b14a48ec89710cfbb29edb2d008ce5882262cb10f425a

Observation df1376a0-32c2-4151-90f8-972af72208d5 · outbound

This paper cites Bergelson, A.

Coexistence of mixing and rigid behaviors in ergodic theory Bergelson, A

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T10:48:47.260956Z

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=2026-08-16T10:48:45.595575Z digest=sha256:c7ee0c55c3d034f30c1d321a840ee1e6f7d50d1e4ae493fd514c247be854bc64

Observation 167d5c87-edd9-40e5-b81f-5b2f751284aa · outbound

This paper cites Bergelson, S.

Coexistence of mixing and rigid behaviors in ergodic theory Bergelson, S

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T10:48:47.249773Z

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=2026-08-16T10:48:45.600299Z digest=sha256:d6d47c78d90edde0ca2d3da27fab946e27cc04043534a76a84e5d8530a8ab2a4

Observation 52a53ac0-5117-4602-81dc-5bf3b3ceb905 · outbound

This paper cites an unresolved cited work.

Coexistence of mixing and rigid behaviors in ergodic theory Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-16T10:48:47.124812Z

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=2026-08-16T10:48:45.604642Z digest=sha256:608957ffe0a0835ad86ad3d07ab1e658bf4104b41af2abe7f2cda0956cd0745b

Observation ee1efe3a-338c-4592-8625-e1a36518da58 · outbound

This paper cites Donoso, A.

Coexistence of mixing and rigid behaviors in ergodic theory Donoso, A

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T10:48:47.083688Z

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=2026-08-16T10:48:45.655791Z digest=sha256:8cec1517665e78614ea612f5a324fd689f87b20e9d3f3c4d4c50ec6ea1eda46d

Observation b39990c5-5ea5-4011-ba6e-5d08ed456c0d · outbound

This paper cites Asymptotic dynamics on amenable groups and van der Corput sets.

Coexistence of mixing and rigid behaviors in ergodic theory Asymptotic dynamics on amenable groups and van der Corput sets

Reference 16

Resolution
unresolved
no resolver link, observed 2026-08-16T10:48:45.751048Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T10:48:45.751048Z digest=sha256:92b416294b7af424e96e98d2cda15ce1fb91d6139176807a014176cf23a61f6c

Observation 3eb03e57-7718-444b-96f2-c4bb9d51f4f7 · outbound

This paper cites Fish and S.

Coexistence of mixing and rigid behaviors in ergodic theory Fish and S

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T10:48:47.073200Z

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=2026-08-16T10:48:45.800091Z digest=sha256:8bf21cb07313b061e4daf3c2ae648f3e953b127e5e7f3f6f2e7bcc63bd09ff80

Observation 4a389ec0-3c31-4848-9987-ada925bcb876 · outbound

This paper cites Frantzikinakis.

Coexistence of mixing and rigid behaviors in ergodic theory Frantzikinakis

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T10:48:47.063907Z

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=2026-08-16T10:48:45.804006Z digest=sha256:7e5b82eb064c853bdc02abb4afa05b4760468b789a6f807e264bf54f9fbe1552

Observation 7c1596ac-4475-4a56-9440-31b61ebf71e6 · outbound

This paper cites Frantzikinakis and B.

Coexistence of mixing and rigid behaviors in ergodic theory Frantzikinakis and B

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T10:48:46.993903Z

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=2026-08-16T10:48:45.807316Z digest=sha256:f532fdd5b5dbbd65d77cea5adfe178095e0a34b811b04ddc6d823d7ca50f3228

Observation ea72ea43-8bee-4bed-beeb-ee7d52857d8b · outbound

This paper cites Furstenberg.

Coexistence of mixing and rigid behaviors in ergodic theory Furstenberg

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T10:48:46.907506Z

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=2026-08-16T10:48:45.811559Z digest=sha256:1e520af8239944545a82155163b3cba84edff7f0a47f0fe394ad233698efb81b

Observation 555f9a81-9a7e-4184-8cb0-3e6eeed0de84 · outbound

This paper cites Furstenberg and Y.

Coexistence of mixing and rigid behaviors in ergodic theory Furstenberg and Y

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T10:48:46.896584Z

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=2026-08-16T10:48:45.815684Z digest=sha256:9eef1d31bc1b3ec4e6ee778dae84aa493da1ee3ed1e947f946999e45a9e562d0

Observation 77e1bbb1-d1f8-46a1-96e1-2d218425b9d2 · outbound

This paper cites an unresolved cited work.

Coexistence of mixing and rigid behaviors in ergodic theory Unresolved cited work

Reference 22

Resolution
unresolved
raw_fallback, observed 2026-08-16T10:48:46.886729Z

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=2026-08-16T10:48:45.818927Z digest=sha256:e73a12b8be2a19e8c077e56868c065e1a5f718727e83c9a5f2bb3d76579dd88a

Observation 00d2a121-bdc7-4a09-a7f5-83b488faa9c6 · outbound

This paper cites an unresolved cited work.

Coexistence of mixing and rigid behaviors in ergodic theory Unresolved cited work

Reference 23

Resolution
unresolved
raw_fallback, observed 2026-08-16T10:48:46.742990Z

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=2026-08-16T10:48:45.822463Z digest=sha256:210153ef9971b926117f19a044ce35b0e6f55512d50846e39dec22c29b545047

Observation 45753500-841d-4770-a3d3-1a9a3cc84e97 · outbound

This paper cites an unresolved cited work.

Coexistence of mixing and rigid behaviors in ergodic theory Unresolved cited work

Reference 24

Resolution
unresolved
raw_fallback, observed 2026-08-16T10:48:46.730737Z

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=2026-08-16T10:48:45.826620Z digest=sha256:b77355b5ae7456c8b498d1b2dd04c3b9f8e774ac05b1d27ba23c2efe083c5532

Observation 1c387856-279a-4758-8d3a-2ee66d2f583f · outbound

This paper cites an unresolved cited work.

Coexistence of mixing and rigid behaviors in ergodic theory Unresolved cited work

Reference 25

Resolution
unresolved
raw_fallback, observed 2026-08-16T10:48:46.643509Z

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.

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Observation 7c3e0b13-8bca-4e06-80bd-0a8e8de02e8c · outbound

This paper cites an unresolved cited work.

Coexistence of mixing and rigid behaviors in ergodic theory Unresolved cited work

Reference 26

Resolution
unresolved
raw_fallback, observed 2026-08-16T10:48:46.527213Z

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=2026-08-16T10:48:45.833061Z digest=sha256:b222ab38f00759d11efbfa1dea5fdc5c52ad2c9a5edf75b6dcb40bedc889ce34

Observation 0bc7a4e2-a638-4914-811e-d36b39f1b84b · outbound

This paper cites An inverse of Furstenberg's correspondence principle and applications to van der Corput sets.

Coexistence of mixing and rigid behaviors in ergodic theory An inverse of Furstenberg's correspondence principle and applications to van der Corput sets

Reference 27

Resolution
unresolved
no resolver link, observed 2026-08-16T10:48:45.836317Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T10:48:45.836317Z digest=sha256:25e96f959d27d45067cfa7c904b78ab5322ec7af0616ff988a27f3227d567706

Observation 03f50e6b-5cf5-4a55-b15d-c2e2ce2e2577 · outbound

This paper cites McCutcheon and A.

Coexistence of mixing and rigid behaviors in ergodic theory McCutcheon and A

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T10:48:46.513973Z

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.

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Observation 497f560a-b2b7-4f26-9c6a-a195ca8371d9 · outbound

This paper cites an unresolved cited work.

Coexistence of mixing and rigid behaviors in ergodic theory Unresolved cited work

Reference 29

Resolution
unresolved
raw_fallback, observed 2026-08-16T10:48:46.353207Z

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.

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Observation 41882858-1a10-4cdb-8824-128108aae064 · outbound

This paper cites an unresolved cited work.

Coexistence of mixing and rigid behaviors in ergodic theory Unresolved cited work

Reference 30

Resolution
unresolved
raw_fallback, observed 2026-08-16T10:48:46.341297Z

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=2026-08-16T10:48:46.055954Z digest=sha256:f99fc7def57a3f4cf4b962ea33a8ba73499644ef1287e43d1e7d510d34c730ea

Observation 6e49fdf7-501a-41cf-bde7-79a4e1c82891 · outbound

This paper cites an unresolved cited work.

Coexistence of mixing and rigid behaviors in ergodic theory Unresolved cited work

Reference 31

Resolution
unresolved
raw_fallback, observed 2026-08-16T10:48:46.331210Z

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.

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Observation afed389b-ea48-4b95-9fb1-af7ee9d03fd1 · outbound

This paper cites an unresolved cited work.

Coexistence of mixing and rigid behaviors in ergodic theory Unresolved cited work

Reference 32

Resolution
unresolved
raw_fallback, observed 2026-08-16T10:48:46.319732Z

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=2026-08-16T10:48:46.063610Z digest=sha256:2b43dbf22cdef3bd5152fd24e9da4a9f3107eb1933a7335833d1f57f6e690191

Observation 49559a42-ebae-4e02-950d-556024213dd6 · outbound

This paper cites an unresolved cited work.

Coexistence of mixing and rigid behaviors in ergodic theory Unresolved cited work

Reference 33

Resolution
unresolved
raw_fallback, observed 2026-08-16T10:48:46.300195Z

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=2026-08-16T10:48:46.066205Z digest=sha256:da335399f491f810504f4c7498f4f665038b00b633df0c0071a6b3f5127154dc

Observation a09de0de-3cb3-4bc5-b0cc-b7db16ca1fba · outbound

This paper cites an unresolved cited work.

Coexistence of mixing and rigid behaviors in ergodic theory Unresolved cited work

Reference 34

Resolution
unresolved
raw_fallback, observed 2026-08-16T10:48:46.289257Z

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.

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Observation 9ec8d1c9-02dc-4be6-bb3b-dca77476c481 · outbound

This paper cites an unresolved cited work.

Coexistence of mixing and rigid behaviors in ergodic theory Unresolved cited work

Reference 35

Resolution
unresolved
raw_fallback, observed 2026-08-16T10:48:46.277982Z

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=2026-08-16T10:48:46.073543Z digest=sha256:5745460f22e0e9b207d6661890871b6c6695a4a1b46f3e7b1f16e753ac15b946

Observation 2f7d79b3-e317-4742-babb-647056e99856 · outbound

This paper cites Zorin-Kranich.

Coexistence of mixing and rigid behaviors in ergodic theory Zorin-Kranich

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T10:48:46.266277Z

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=2026-08-16T10:48:46.078008Z digest=sha256:0ef7a4be1d249d21606f29774c53dfa76fcc2440c0f340f91d47899bc7f3de33

Observation 6466bb01-d117-48ed-ba46-ce21558bc623 · outbound

This paper cites an unresolved cited work.

Coexistence of mixing and rigid behaviors in ergodic theory Unresolved cited work

Reference 2005

Resolution
unresolved
raw_fallback, observed 2026-08-16T10:48:47.273671Z

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=2026-08-16T10:48:45.586607Z digest=sha256:c437d4932db11738bcfc14cd31016845484dc713dd08b79c5b363369aca66348

Pith citing papers

Observation 5d743885-db55-49de-b614-0647f78989ca · inbound

Multipliers and Disjointness from Mixing cites this paper.

Multipliers and Disjointness from Mixing Coexistence of mixing and rigid behaviors in ergodic theory

Reference 67

Resolution
verified exact
arxiv_id, observed 2026-07-17T01:21:41.096095Z

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=2026-05-10T14:03:11.303383Z digest=sha256:2f7d59ff461863147d3692a403933a6b12ceb6d23ef3a412176055ed5adb46eb

Observation d0842390-f195-4ae3-8154-2f960a28e71b · inbound

Sets of large values of polynomial multi-correlation functions cites this paper.

Sets of large values of polynomial multi-correlation functions Coexistence of mixing and rigid behaviors in ergodic theory

Reference 48

Resolution
verified exact
arxiv_id, observed 2026-07-17T01:21:41.096095Z

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=2026-05-25T05:03:45.402239Z digest=sha256:0089573d0e94e6e35e171871c7c92d8f368e888c761d1f0cf445dc1d59ae74b3