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Paper Citation Record · LEDGER

A generalization of Savin's small perturbation theorem for fully nonlinear elliptic equations and applications

As of 8 August 2026, this Paper Citation Record lists 38 of 38 outbound references and 0 inbound Pith citation observations for arXiv:2509.01138.

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

pith.paper-citation-record.v1
2509.01138 v1

Coverage vector

measured 38 of 38 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-05T13:08:38.116801Z

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

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External citation measurements

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Outbound references

Observation 801c248c-94c8-4159-8b30-2cd1f3614879 · outbound

This paper cites Allard, On the first variation of a varifold, Ann.

A generalization of Savin's small perturbation theorem for fully nonlinear elliptic equations and applications Allard, On the first variation of a varifold, Ann

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=arxiv_source observed=2026-08-05T13:08:32.605187Z digest=sha256:d4c33cb58dfd76453634d006c71dd9a1e59517ac810ea4646ced6902ec098803

Observation 9e8ac5c2-29f7-4a44-8662-d30b1bff2e32 · outbound

This paper cites Armstrong, Luis E.

A generalization of Savin's small perturbation theorem for fully nonlinear elliptic equations and applications Armstrong, Luis E

Reference 2

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Source-reported events for the cited work

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Observation 753d7fa0-6c67-483d-b461-01568153912f · outbound

This paper cites 249 (2024), Paper No.

A generalization of Savin's small perturbation theorem for fully nonlinear elliptic equations and applications 249 (2024), Paper No

Reference 3

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This paper cites an unresolved cited work.

A generalization of Savin's small perturbation theorem for fully nonlinear elliptic equations and applications Unresolved cited work

Reference 4

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source=arxiv_source observed=2026-08-05T13:08:33.084564Z digest=sha256:45b40236cee8a4a9ad6949acfffa95f9c22b9aa246495b7cd9380c39b701eecf

Observation c8c12d1c-b9f0-44af-8fc4-0326207ceaec · outbound

This paper cites Pure Appl.

A generalization of Savin's small perturbation theorem for fully nonlinear elliptic equations and applications Pure Appl

Reference 5

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=arxiv_source observed=2026-08-05T13:08:33.286544Z digest=sha256:4ba4de4073b153423eb3d04cb8fe3bd44b4146a974be2c2a59d9aa2180a059dc

Observation 2c610af6-1e1c-48cb-8da4-bbd9cd743889 · outbound

This paper cites Caffarelli and Xavier Cabr\'e, Fully nonlinear elliptic equations, American Mathematical Society Colloquium Publications, vol.

A generalization of Savin's small perturbation theorem for fully nonlinear elliptic equations and applications Caffarelli and Xavier Cabr\'e, Fully nonlinear elliptic equations, American Mathematical Society Colloquium Publications, vol

Reference 6

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=arxiv_source observed=2026-08-05T13:08:33.441752Z digest=sha256:e233f0aae6c722d8e9bdd56a63feffc8869c7198b08993060bca099fe8a7e4ea

Observation 4cff22e2-9ee8-4387-9bec-888081a7089d · outbound

This paper cites Caffarelli, Interior C^ 2, regularity theory for a class of nonconvex fully nonlinear elliptic equations , J.

A generalization of Savin's small perturbation theorem for fully nonlinear elliptic equations and applications Caffarelli, Interior C^ 2, regularity theory for a class of nonconvex fully nonlinear elliptic equations , J

Reference 7

Resolution
verified fuzzy
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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=arxiv_source observed=2026-08-05T13:08:33.589820Z digest=sha256:bf0fce970c7f7b8feddd02ce5224915e65483f232d390b27e5c1373df088d6c4

Observation 2f98d181-af88-40b5-bf24-59070f9a9060 · outbound

This paper cites Caffarelli, L.

A generalization of Savin's small perturbation theorem for fully nonlinear elliptic equations and applications Caffarelli, L

Reference 8

Resolution
verified fuzzy
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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=arxiv_source observed=2026-08-05T13:08:33.775587Z digest=sha256:f8a33a61ded0cc10bf4b72f1ad657ecc3986133af4bb0bc3a5d04c987e7462ab

Observation 7d0b3cf5-ddf9-4561-aed4-b7ffd98e0130 · outbound

This paper cites Collins, C^ 2, estimates for nonlinear elliptic equations of twisted type , Calc.

A generalization of Savin's small perturbation theorem for fully nonlinear elliptic equations and applications Collins, C^ 2, estimates for nonlinear elliptic equations of twisted type , Calc

Reference 9

Resolution
verified fuzzy
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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=arxiv_source observed=2026-08-05T13:08:33.920798Z digest=sha256:f0a91f557a747b49411c39cf010a91214771a6eda41a2f26e0f1a7c0f698e784

Observation 2c8ff049-f1d7-4987-b6be-de009c5b8b85 · outbound

This paper cites Trudinger, An A lexsandrov type theorem for k -convex functions , Bull.

A generalization of Savin's small perturbation theorem for fully nonlinear elliptic equations and applications Trudinger, An A lexsandrov type theorem for k -convex functions , Bull

Reference 10

Resolution
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=arxiv_source observed=2026-08-05T13:08:34.072323Z digest=sha256:936fc7bc0fcebf9589936fd3628dd51841bb1350a2183057cbfb488fd827107a

Observation 395d0c78-431a-4aef-a718-ea62cd9d1db0 · outbound

This paper cites Caffarelli and Yu Yuan, A priori estimates for solutions of fully nonlinear equations with convex level set, Indiana Univ.

A generalization of Savin's small perturbation theorem for fully nonlinear elliptic equations and applications Caffarelli and Yu Yuan, A priori estimates for solutions of fully nonlinear equations with convex level set, Indiana Univ

Reference 11

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=arxiv_source observed=2026-08-05T13:08:34.295226Z digest=sha256:2b25aa87f45db5373cf01c8b79e47986474ef25f2f12ceedea998e6f684f9f86

Observation 4838a8e5-8eea-49a2-b582-1b35f0c1e5fc · outbound

This paper cites an unresolved cited work.

A generalization of Savin's small perturbation theorem for fully nonlinear elliptic equations and applications Unresolved cited work

Reference 12

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

source=arxiv_source observed=2026-08-05T13:08:34.415148Z digest=sha256:abf1a8b6063945dd3af911c9c4fdb3be76dbcf7462db041b5e5a7ff418c68d24

Observation 31c35658-e509-4b9d-a886-5a24e34a0333 · outbound

This paper cites Teixeira, Asymptotics and regularity of flat solutions to fully nonlinear elliptic problems, Ann.

A generalization of Savin's small perturbation theorem for fully nonlinear elliptic equations and applications Teixeira, Asymptotics and regularity of flat solutions to fully nonlinear elliptic problems, Ann

Reference 13

Resolution
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Source-reported events for the cited work

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source=arxiv_source observed=2026-08-05T13:08:34.550389Z digest=sha256:9e2f36a67600f568138a20df566967b7d5d1b3cbe686eb217c926e0d523d3688

Observation f1ca1d4a-aad6-4ecf-ac96-3f498a7b2938 · outbound

This paper cites Evans and Ronald F.

A generalization of Savin's small perturbation theorem for fully nonlinear elliptic equations and applications Evans and Ronald F

Reference 14

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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=arxiv_source observed=2026-08-05T13:08:34.745624Z digest=sha256:5458c41dbcf35e0172770d0a69aa5b5cec6b16fac659932f55a700cb0a5dea77

Observation e339ea08-205a-4f3f-bf6c-d135c1026e5b · outbound

This paper cites Evans, Classical solutions of fully nonlinear, convex, second-order elliptic equations, Comm.

A generalization of Savin's small perturbation theorem for fully nonlinear elliptic equations and applications Evans, Classical solutions of fully nonlinear, convex, second-order elliptic equations, Comm

Reference 15

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

source=arxiv_source observed=2026-08-05T13:08:34.945164Z digest=sha256:67054a22137c5a607fb0a7c7b975d6feb7043e71019592c5e4883f23db5a4bb7

Observation 38395b35-33c0-4eb8-8547-cf32f54ba454 · outbound

This paper cites 80, Birkh\"auser Verlag, Basel, 1984.

A generalization of Savin's small perturbation theorem for fully nonlinear elliptic equations and applications 80, Birkh\"auser Verlag, Basel, 1984

Reference 16

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

source=arxiv_source observed=2026-08-05T13:08:35.077290Z digest=sha256:9ce188669b5533c930c42c261c7d3709010a36551752a02f3be1c7cb6039da4b

Observation 85028eeb-3a6e-4eec-b32e-742d8947cd4d · outbound

This paper cites an unresolved cited work.

A generalization of Savin's small perturbation theorem for fully nonlinear elliptic equations and applications Unresolved cited work

Reference 17

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

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This paper cites an unresolved cited work.

A generalization of Savin's small perturbation theorem for fully nonlinear elliptic equations and applications Unresolved cited work

Reference 18

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A generalization of Savin's small perturbation theorem for fully nonlinear elliptic equations and applications Unresolved cited work

Reference 19

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Observation 8267e5ee-9dba-47d2-974e-346ac865dee3 · outbound

This paper cites an unresolved cited work.

A generalization of Savin's small perturbation theorem for fully nonlinear elliptic equations and applications Unresolved cited work

Reference 20

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This paper cites an unresolved cited work.

A generalization of Savin's small perturbation theorem for fully nonlinear elliptic equations and applications 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.

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Observation 8b0c33b8-b3b4-46a4-894c-0d7b019bb27f · outbound

This paper cites an unresolved cited work.

A generalization of Savin's small perturbation theorem for fully nonlinear elliptic equations and applications Unresolved cited work

Reference 22

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source=arxiv_source observed=2026-08-05T13:08:35.971105Z digest=sha256:94affb149573ae01c52c820bbf2d229df526a73e04c37cf8f57c5b86f865fa87

Observation d870b824-4256-460e-904e-1d1a971f6481 · outbound

This paper cites an unresolved cited work.

A generalization of Savin's small perturbation theorem for fully nonlinear elliptic equations and applications Unresolved cited work

Reference 23

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

source=arxiv_source observed=2026-08-05T13:08:36.155683Z digest=sha256:a9971212f71c5cb1eecca01c42e37dbb92979c271408266750d47d439f2f037d

Observation ba33c167-f6b2-4e6d-84c0-8b8c5d0bd1a9 · outbound

This paper cites Pointwise regularity for locally uniformly elliptic equations and applications.

A generalization of Savin's small perturbation theorem for fully nonlinear elliptic equations and applications Pointwise regularity for locally uniformly elliptic equations and applications

Reference 24

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-05T13:08:36.298934Z digest=sha256:3acd421518d4f22bd2263f110fe6010ff7c651306f06d1ec50031ab140b0347b

Observation b1c08cdc-cf7e-4405-8ab3-2df4259a2479 · outbound

This paper cites Partial Differential Equations 44 (2019), no.

A generalization of Savin's small perturbation theorem for fully nonlinear elliptic equations and applications Partial Differential Equations 44 (2019), no

Reference 25

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

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Observation 46c6205f-f68b-4315-b51b-3016c63e8c14 · outbound

This paper cites Pure Appl.

A generalization of Savin's small perturbation theorem for fully nonlinear elliptic equations and applications Pure Appl

Reference 26

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

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Observation 6cc97022-7eae-4277-afbf-f36b0ee0a3b9 · outbound

This paper cites Nascimento and Eduardo V.

A generalization of Savin's small perturbation theorem for fully nonlinear elliptic equations and applications Nascimento and Eduardo V

Reference 27

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

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Observation 62f2d925-69ed-41b1-9fd2-a27bd04813b6 · outbound

This paper cites an unresolved cited work.

A generalization of Savin's small perturbation theorem for fully nonlinear elliptic equations and applications Unresolved cited work

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=arxiv_source observed=2026-08-05T13:08:36.844327Z digest=sha256:36362b69ef3271a9cd7dab6817c319ed0fe8436524383161f48af1b3fadd3187

Observation a06dc9d5-3b07-467b-bd16-8dca64aa183c · outbound

This paper cites an unresolved cited work.

A generalization of Savin's small perturbation theorem for fully nonlinear elliptic equations and applications Unresolved cited work

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=arxiv_source observed=2026-08-05T13:08:36.979362Z digest=sha256:a0a3ab441ecc78b7538b3eb73b512f519fee5d359c293d2467fa1b88a146d9cb

Observation 8198ee92-5f81-4101-a390-63130b79dbc2 · outbound

This paper cites Partial Differential Equations 32 (2007), no.

A generalization of Savin's small perturbation theorem for fully nonlinear elliptic equations and applications Partial Differential Equations 32 (2007), no

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T13:08:39.939489Z

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=arxiv_source observed=2026-08-05T13:08:37.173508Z digest=sha256:d858239fdd04e14bbebce52f54fadc84acbe3f38c3714220b16d9cabe5c49bad

Observation 293ee6f4-e837-45df-9123-4f6c4a2793dd · outbound

This paper cites an unresolved cited work.

A generalization of Savin's small perturbation theorem for fully nonlinear elliptic equations and applications Unresolved cited work

Reference 31

Resolution
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raw_fallback, observed 2026-08-05T13:08:39.772634Z

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=arxiv_source observed=2026-08-05T13:08:37.325855Z digest=sha256:e96f3a0a3a1f68118ba94e960ebeda918c33b1496fd825b4484a2ef6cb3e154f

Observation 22f74872-ffec-4ff9-a33e-033759f5e624 · outbound

This paper cites 3, Australian National University, Centre for Mathematical Analysis, Canberra, 1983.

A generalization of Savin's small perturbation theorem for fully nonlinear elliptic equations and applications 3, Australian National University, Centre for Mathematical Analysis, Canberra, 1983

Reference 32

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raw_fallback, observed 2026-08-05T13:08:39.565531Z

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=arxiv_source observed=2026-08-05T13:08:37.445766Z digest=sha256:99340201282494b823650a2e3dbbdbf2bf2cbb9857e26f41840f4194126c2d80

Observation f61bb920-713f-473c-89b5-bb90fb344f7f · outbound

This paper cites an unresolved cited work.

A generalization of Savin's small perturbation theorem for fully nonlinear elliptic equations and applications Unresolved cited work

Reference 33

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raw_fallback, observed 2026-08-05T13:08:39.357491Z

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=arxiv_source observed=2026-08-05T13:08:37.582261Z digest=sha256:18a15ba379c5d0f390cd9b6c9e1101bc4f715e8646147aaf2a9a84b0b016f522

Observation 094e9e0b-c84d-40f9-b916-54b734312ddb · outbound

This paper cites Trudinger, Weak solutions of H essian equations , Comm.

A generalization of Savin's small perturbation theorem for fully nonlinear elliptic equations and applications Trudinger, Weak solutions of H essian equations , Comm

Reference 34

Resolution
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raw_fallback, observed 2026-08-05T13:08:39.156481Z

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=arxiv_source observed=2026-08-05T13:08:37.717343Z digest=sha256:54543197b2a4f905d30eb43469b04fe2ca3074a5e331947a10875b8155572eea

Observation 5986bdf2-6994-4c0c-9493-398b508c42ac · outbound

This paper cites Trudinger and Xu-Jia Wang, Hessian measures.

A generalization of Savin's small perturbation theorem for fully nonlinear elliptic equations and applications Trudinger and Xu-Jia Wang, Hessian measures

Reference 35

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T13:08:38.901844Z

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=arxiv_source observed=2026-08-05T13:08:37.828243Z digest=sha256:8b327b9d8b19cc4ff28051302ac1deebb7724b693e61b09a8e15c77ab84672a5

Observation da2d1a0d-fa92-4664-a933-ad26c01784ea · outbound

This paper cites an unresolved cited work.

A generalization of Savin's small perturbation theorem for fully nonlinear elliptic equations and applications Unresolved cited work

Reference 36

Resolution
unresolved
raw_fallback, observed 2026-08-05T13:08:38.723331Z

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=arxiv_source observed=2026-08-05T13:08:37.951290Z digest=sha256:dda65582eea98a10fe61a65c867dc9c0811edf468fff134fe1cbb022cc76e454

Observation 57cbe223-a928-47d1-b617-f0167a32f138 · outbound

This paper cites Partial Differential Equations 42 (2017), no.

A generalization of Savin's small perturbation theorem for fully nonlinear elliptic equations and applications Partial Differential Equations 42 (2017), no

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T13:08:38.519672Z

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=arxiv_source observed=2026-08-05T13:08:38.022003Z digest=sha256:58e79e540c08e2cf437bded8f905ce27026a7ec999286119f01c286357dfa3d5

Observation da1ceb78-8c12-41e3-bf3a-74472d21ae0d · outbound

This paper cites an unresolved cited work.

A generalization of Savin's small perturbation theorem for fully nonlinear elliptic equations and applications Unresolved cited work

Reference 38

Resolution
unresolved
raw_fallback, observed 2026-08-05T13:08:38.321328Z

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=arxiv_source observed=2026-08-05T13:08:38.116801Z digest=sha256:da5467474e183e1be0d2e6d44497a7f708bc6ca9763b812b424a6d670b849bcd

Pith citing papers

No inbound Pith citation observations are available.