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Paper Citation Record · LEDGER

Optimization of the total tumor population under Gompertz growth

As of 19 August 2026, this Paper Citation Record lists 50 of 50 outbound references and 0 inbound Pith citation observations for arXiv:2607.24468.

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

pith.paper-citation-record.v1
2607.24468 v1

Coverage vector

measured 50 of 50 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-31T14:21:19.539866Z

measured 50 of 50 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

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measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

50 of 50 outbound references displayed

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External citation measurements

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Outbound references

Observation 904c4043-6180-469b-a087-700e8b29b56f · outbound

This paper cites Allegretti, I.

Optimization of the total tumor population under Gompertz growth Allegretti, I

Reference 1

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Observation 4a1a3ba4-4443-4329-b2b8-7a5991f79a33 · outbound

This paper cites an unresolved cited work.

Optimization of the total tumor population under Gompertz growth Unresolved cited work

Reference 2

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Observation 1eedc733-88fb-440b-a687-3b05f0d103e5 · outbound

This paper cites Berestycki, F.

Optimization of the total tumor population under Gompertz growth Berestycki, F

Reference 3

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Observation c00acda5-54d3-46eb-b152-5d7b52b9b0ca · outbound

This paper cites Brezis and L.

Optimization of the total tumor population under Gompertz growth Brezis and L

Reference 4

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation 95e5e1b5-3b6f-46d8-aaad-d625d68410ad · outbound

This paper cites an unresolved cited work.

Optimization of the total tumor population under Gompertz growth Unresolved cited work

Reference 5

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Observation 7978b9ad-cd1c-4cdf-b590-15f02b37c774 · outbound

This paper cites an unresolved cited work.

Optimization of the total tumor population under Gompertz growth Unresolved cited work

Reference 6

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation 2e6a97fe-ae85-43d8-ab0d-04ef17a74e08 · outbound

This paper cites an unresolved cited work.

Optimization of the total tumor population under Gompertz growth Unresolved cited work

Reference 7

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Observation 3001bd8b-4b81-4b9f-9df3-160705d64aca · outbound

This paper cites an unresolved cited work.

Optimization of the total tumor population under Gompertz growth Unresolved cited work

Reference 8

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Observation f7348008-3e0a-4ce9-aef5-2bd54eb0a5cd · outbound

This paper cites an unresolved cited work.

Optimization of the total tumor population under Gompertz growth Unresolved cited work

Reference 9

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Observation 70e01770-9bf1-4e24-a117-ca214911b240 · outbound

This paper cites an unresolved cited work.

Optimization of the total tumor population under Gompertz growth Unresolved cited work

Reference 10

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Observation 4dcdad7e-0eaa-4d73-88cd-e88386f09ea4 · outbound

This paper cites an unresolved cited work.

Optimization of the total tumor population under Gompertz growth Unresolved cited work

Reference 11

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Observation 993ea056-6e4e-4ce2-a1f2-31b906054d1b · outbound

This paper cites an unresolved cited work.

Optimization of the total tumor population under Gompertz growth Unresolved cited work

Reference 12

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Observation 4df77bd7-db14-4f6b-967f-64ee4ec8bf3f · outbound

This paper cites Ferreri, G.

Optimization of the total tumor population under Gompertz growth Ferreri, G

Reference 13

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Observation 9452a410-a7b8-4871-b3dc-2f8054e18991 · outbound

This paper cites Ferreri, G.

Optimization of the total tumor population under Gompertz growth Ferreri, G

Reference 14

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Observation 39900681-93db-474a-9401-e5549f78a618 · outbound

This paper cites Ferreri, D.

Optimization of the total tumor population under Gompertz growth Ferreri, D

Reference 15

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Observation 97c36153-03f3-49c3-8ec8-0694bd9f6ee8 · outbound

This paper cites Unstable free boundary problems in optimal control theory: existence and regularity.

Optimization of the total tumor population under Gompertz growth Unstable free boundary problems in optimal control theory: existence and regularity

Reference 16

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Observation f8c07333-e4a9-40ad-b521-c5665fb8710b · outbound

This paper cites Ferreri, D.

Optimization of the total tumor population under Gompertz growth Ferreri, D

Reference 17

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Observation 0a91996d-95d8-4c36-a4aa-74406e72977c · outbound

This paper cites an unresolved cited work.

Optimization of the total tumor population under Gompertz growth Unresolved cited work

Reference 18

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation d76870fc-3d3a-48b2-942d-e79686f1e123 · outbound

This paper cites Gerlee, The model muddle: in search of tumor growth la ws, Cancer Res.

Optimization of the total tumor population under Gompertz growth Gerlee, The model muddle: in search of tumor growth la ws, Cancer Res

Reference 19

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Unavailable: canonical work link unavailable.

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Observation a33f9c2b-391f-49b4-a4bd-3df4b63ce483 · outbound

This paper cites Gompertz, On the nature of the function expressive of the law of human mortality, and on a new mode of determining the value of life contingencies, Philos.

Optimization of the total tumor population under Gompertz growth Gompertz, On the nature of the function expressive of the law of human mortality, and on a new mode of determining the value of life contingencies, Philos

Reference 20

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Observation b5224f23-d4de-48d9-9fa8-0ef22b36371b · outbound

This paper cites an unresolved cited work.

Optimization of the total tumor population under Gompertz growth Unresolved cited work

Reference 21

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation a444a20e-d9ab-4c9e-ba74-11ae8db7584b · outbound

This paper cites Heo and Y.

Optimization of the total tumor population under Gompertz growth Heo and Y

Reference 22

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation d8456665-9bbd-4df2-b7df-5a8a3df29bb2 · outbound

This paper cites Henrot and M.

Optimization of the total tumor population under Gompertz growth Henrot and M

Reference 23

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Observation 54f5abc9-9f98-4e0b-8eba-b06721d25bc5 · outbound

This paper cites Hintermüller, C.-Y.

Optimization of the total tumor population under Gompertz growth Hintermüller, C.-Y

Reference 24

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation 747ea1a5-62a6-4510-8d9f-b4bc3fa3dff7 · outbound

This paper cites Kao and S.

Optimization of the total tumor population under Gompertz growth Kao and S

Reference 25

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation 5f977674-a48e-4720-ae27-f6db5090155a · outbound

This paper cites Kawohl, Rearrangements and Convexity of Level Sets i n PDE, Lecture Notes in Mathematics , vol.

Optimization of the total tumor population under Gompertz growth Kawohl, Rearrangements and Convexity of Level Sets i n PDE, Lecture Notes in Mathematics , vol

Reference 26

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation 24403957-9572-46d9-b518-9adbd32f54e4 · outbound

This paper cites an unresolved cited work.

Optimization of the total tumor population under Gompertz growth Unresolved cited work

Reference 27

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation a3c57616-38a8-49d1-828d-0b997167da20 · outbound

This paper cites Properties of optimizers of the principal eigenvalue with indefinite weight and Robin conditions.

Optimization of the total tumor population under Gompertz growth Properties of optimizers of the principal eigenvalue with indefinite weight and Robin conditions

Reference 28

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verified exact
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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation 798f0294-08d9-4260-b5e8-6d95e76ba349 · outbound

This paper cites Lenhart and J.

Optimization of the total tumor population under Gompertz growth Lenhart and J

Reference 29

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doi, observed 2026-07-31T14:26:03.013801Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation fa805357-f6bb-4a2c-abf1-10d6784a990c · outbound

This paper cites Lou, On singular sets of local solutions to p-Laplace equations, Chin.

Optimization of the total tumor population under Gompertz growth Lou, On singular sets of local solutions to p-Laplace equations, Chin

Reference 30

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verified exact
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation f7a20750-7d82-4aae-b460-51bc7bec7fc5 · outbound

This paper cites Lou, On the effects of migration and spatial heterogen eity on single and multiple species, J.

Optimization of the total tumor population under Gompertz growth Lou, On the effects of migration and spatial heterogen eity on single and multiple species, J

Reference 31

Resolution
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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation fbb7aa87-e310-431a-b80f-062988a3000e · outbound

This paper cites Minimization of the principal eigen value for an elliptic boundary value problem with indefinite weight, and applications to population dyna mics.

Optimization of the total tumor population under Gompertz growth Minimization of the principal eigen value for an elliptic boundary value problem with indefinite weight, and applications to population dyna mics

Reference 32

Resolution
verified exact
doi, observed 2026-07-31T14:26:02.335167Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation 96680266-3fe4-49cb-a460-e3218ecdcc49 · outbound

This paper cites Mazari, G.

Optimization of the total tumor population under Gompertz growth Mazari, G

Reference 33

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doi, observed 2026-07-31T14:26:02.177498Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation 64a704bd-0e58-4db3-ad12-bf75b8745be4 · outbound

This paper cites Mazari, G.

Optimization of the total tumor population under Gompertz growth Mazari, G

Reference 34

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doi, observed 2026-07-31T14:26:02.014616Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation ad9e568f-6f5c-4520-8d96-d7c372592b43 · outbound

This paper cites Mazari, G.

Optimization of the total tumor population under Gompertz growth Mazari, G

Reference 35

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 790d6967-6760-4400-a8f6-0d8adfebd6fa · outbound

This paper cites Mazari and D.

Optimization of the total tumor population under Gompertz growth Mazari and D

Reference 36

Resolution
verified exact
doi, observed 2026-07-31T14:26:01.805352Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation 3ee08728-8631-4e69-8aa9-5792b2b3fa4c · outbound

This paper cites Mazzoleni, B.

Optimization of the total tumor population under Gompertz growth Mazzoleni, B

Reference 37

Resolution
verified exact
doi, observed 2026-07-31T14:26:01.628645Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation 5211fd58-51e9-4e7d-8d1f-4aee6d32d04d · outbound

This paper cites Mazzoleni, B.

Optimization of the total tumor population under Gompertz growth Mazzoleni, B

Reference 38

Resolution
verified exact
doi, observed 2026-07-31T14:26:01.427949Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation fdd23884-494e-4f29-a100-3a1bdb2fb53d · outbound

This paper cites an unresolved cited work.

Optimization of the total tumor population under Gompertz growth Unresolved cited work

Reference 39

Resolution
unresolved
no resolver link, observed 2026-07-31T14:21:18.913577Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-31T14:21:18.913577Z digest=sha256:a78608db08aafc03368aacf8241c8b403d30cde394162465fd9456fc9ffd76d5

Observation 7cf287fa-4d46-460a-a4e1-68d1973bbbf9 · outbound

This paper cites Nagahara and E.

Optimization of the total tumor population under Gompertz growth Nagahara and E

Reference 40

Resolution
verified exact
doi, observed 2026-07-31T14:26:01.235046Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation d86c3fc3-e06a-41a3-989f-bdece36ed0ef · outbound

This paper cites Nocedal and S.

Optimization of the total tumor population under Gompertz growth Nocedal and S

Reference 41

Resolution
unresolved
no resolver link, observed 2026-07-31T14:21:19.063795Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-31T14:21:19.063795Z digest=sha256:3a80378f6ffa08153b21df27a8f33b8815540cf8d183956d30f2eda9accdf4fc

Observation 49b878e4-4653-4fb4-9581-458d59a386f1 · outbound

This paper cites Pellacci, G.

Optimization of the total tumor population under Gompertz growth Pellacci, G

Reference 42

Resolution
verified exact
doi, observed 2026-07-31T14:26:01.024901Z

Source-reported events for the cited work

correction dated 2026-01-23. Source: crossref record 10.1016/j.jde.2026.114130->10.1016/j.jde.2023.09.030:correction, observed 2026-07-11T03:11:47.000566+00:00. This notice travels one citation hop only.

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Observation 6be86f67-bc8f-4be1-811f-ee948c6292b9 · outbound

This paper cites Salsa and G.

Optimization of the total tumor population under Gompertz growth Salsa and G

Reference 43

Resolution
verified exact
doi, observed 2026-07-31T14:26:00.901784Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation 2127cfa0-03b5-419a-88c2-88c3f3663472 · outbound

This paper cites an unresolved cited work.

Optimization of the total tumor population under Gompertz growth Unresolved cited work

Reference 44

Resolution
verified exact
doi, observed 2026-07-31T14:26:00.731285Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-07-31T14:21:19.267141Z digest=sha256:048514af3f3bac8144b38d2e4de769c4bf72275c8736bd8d28fc70281d805838

Observation a5038896-d1a4-4cef-ba0a-3e3a141ce85a · outbound

This paper cites an unresolved cited work.

Optimization of the total tumor population under Gompertz growth Unresolved cited work

Reference 45

Resolution
verified exact
doi, observed 2026-07-31T14:26:00.513330Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation 0dbb611a-cf00-42ee-965f-27ffd08d3dec · outbound

This paper cites Talkington and R.

Optimization of the total tumor population under Gompertz growth Talkington and R

Reference 46

Resolution
verified exact
doi, observed 2026-07-31T14:26:00.365945Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-07-31T14:21:19.374056Z digest=sha256:214e0e53af91a0c7ba36964913a164cc720185dbfcdeb7fa7efdbfcc406a3a50

Observation 6dba5e0e-e0e7-49e7-9677-17585102d683 · outbound

This paper cites Tröltzsch, Optimal Control of Partial Differential Equations: Theory, Me thods and Applications , Graduate Studies in Mathematics, Vol.

Optimization of the total tumor population under Gompertz growth Tröltzsch, Optimal Control of Partial Differential Equations: Theory, Me thods and Applications , Graduate Studies in Mathematics, Vol

Reference 47

Resolution
unresolved
no resolver link, observed 2026-07-31T14:21:19.460324Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-31T14:21:19.460324Z digest=sha256:7210414b13c7e45fce4ab89f39641abac202c3a81290dadf9347310983accb01

Observation a65de7f9-abe7-474c-9d87-dcc120f15196 · outbound

This paper cites Vaghi, A.

Optimization of the total tumor population under Gompertz growth Vaghi, A

Reference 48

Resolution
verified exact
doi, observed 2026-07-31T14:26:00.203568Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-07-31T14:21:19.539866Z digest=sha256:4284db5d087413180f517acdbb52c7eb7b0e6f88ae6267cfc373518507358f17

Observation 3f272369-64b7-4010-a807-a3d8e96c85c8 · outbound

This paper cites an unresolved cited work.

Optimization of the total tumor population under Gompertz growth Unresolved cited work

Reference 2003

Resolution
verified exact
doi, observed 2026-07-31T14:26:05.184350Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation a93e7f69-35dc-49b2-a138-b32082fa673c · outbound

This paper cites an unresolved cited work.

Optimization of the total tumor population under Gompertz growth Unresolved cited work

Reference 2411

Resolution
verified exact
doi, observed 2026-07-31T14:26:04.303172Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-07-31T14:21:17.848442Z digest=sha256:28e34068c38459ceb71dada357e0c385948845e98d3b0acbe89d40f010ccba38

Pith citing papers

No inbound Pith citation observations are available.