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Paper Citation Record · LEDGER

A Mathematical and Optimal Control Model for Rabies Transmission Dynamics Among Humans and Dogs with Environmental Effects

As of 8 August 2026, this Paper Citation Record lists 35 of 35 outbound references and 0 inbound Pith citation observations for arXiv:2507.08895.

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

pith.paper-citation-record.v1
2507.08895 v1

Coverage vector

measured 35 of 35 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T18:34:05.620421Z

measured 35 of 35 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+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

35 of 35 outbound references displayed

  • verified exact25
  • verified fuzzy2
  • unresolved6
  • parse uncertain0
  • malformed identifier1
  • metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 2feacb48-7eb8-4d17-ae86-6d0d1eda803b · outbound

This paper cites Kumar, S.

A Mathematical and Optimal Control Model for Rabies Transmission Dynamics Among Humans and Dogs with Environmental Effects Kumar, S

Reference 1

Resolution
metadata mismatch
raw_fallback, observed 2026-08-06T18:34:06.500708Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation 0511d239-cb26-487a-bf41-25128f1b1be8 · outbound

This paper cites an unresolved cited work.

A Mathematical and Optimal Control Model for Rabies Transmission Dynamics Among Humans and Dogs with Environmental Effects Unresolved cited work

Reference 2

Resolution
verified exact
doi, observed 2026-08-06T18:34:06.198926Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T18:34:05.359777Z digest=sha256:d2c657e70d76268cc7afa918b8bdfc89f38f68789da2c7d848139f21a0cb46ae

Observation 5e96f912-eb9e-44ba-966c-7d003b890796 · outbound

This paper cites Charles, V.

A Mathematical and Optimal Control Model for Rabies Transmission Dynamics Among Humans and Dogs with Environmental Effects Charles, V

Reference 3

Resolution
verified exact
doi, observed 2026-08-06T18:34:06.175503Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T18:34:05.365277Z digest=sha256:bb725e2912f3ec53bf80efd3a258ec9d9aeca5b048c3959b31279932c570540c

Observation 811ccc11-1bcc-467a-9476-f44139807300 · outbound

This paper cites an unresolved cited work.

A Mathematical and Optimal Control Model for Rabies Transmission Dynamics Among Humans and Dogs with Environmental Effects Unresolved cited work

Reference 4

Resolution
verified exact
doi, observed 2026-08-06T18:34:06.151356Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T18:34:05.370882Z digest=sha256:de3b11815c0924259275242acb9ca64afccc3b2e50a914a5b5f1f8d0c1bd1bc9

Observation 14f57367-741d-4845-9ef1-3869d041f04a · outbound

This paper cites an unresolved cited work.

A Mathematical and Optimal Control Model for Rabies Transmission Dynamics Among Humans and Dogs with Environmental Effects Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-06T18:34:06.719594Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T18:34:05.380248Z digest=sha256:f6e72f6c536a434f35f5b74702e26a418a1b9ab9acd9949487dcf35c58b74bcf

Observation 9388b6fb-94bf-4a5f-bf21-fc050b2b99f6 · outbound

This paper cites Cleaveland, S.

A Mathematical and Optimal Control Model for Rabies Transmission Dynamics Among Humans and Dogs with Environmental Effects Cleaveland, S

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:34:06.693308Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T18:34:05.390508Z digest=sha256:3402b2a4edef0148c44ad8cd608c049a82a7e41a072a5b7eb841b22d2bd315d2

Observation 48c4430a-3763-42bf-9e97-1f986b9e992a · outbound

This paper cites Minja, Tanzania: Ministry to raise awareness on rabies disease, Tanzania Daily News (Dar es Salaam)Accessed on June 26, 2025 (September 20 2023).

A Mathematical and Optimal Control Model for Rabies Transmission Dynamics Among Humans and Dogs with Environmental Effects Minja, Tanzania: Ministry to raise awareness on rabies disease, Tanzania Daily News (Dar es Salaam)Accessed on June 26, 2025 (September 20 2023)

Reference 7

Resolution
verified exact
raw_fallback, observed 2026-08-06T18:34:06.402947Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T18:34:05.396622Z digest=sha256:d6dde9698f2781fcb2333b1ab6b80bfc1f74e29683907c0b0643b0392e0b532f

Observation 6c71a811-b9bd-4bd1-ae96-daba56793b6c · outbound

This paper cites an unresolved cited work.

A Mathematical and Optimal Control Model for Rabies Transmission Dynamics Among Humans and Dogs with Environmental Effects Unresolved cited work

Reference 8

Resolution
verified exact
doi, observed 2026-08-06T18:34:06.122184Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T18:34:05.401705Z digest=sha256:cd6c972a5a2016f0e199aa8263e1a4f93a61214519e2e9afdeead36c1316fcc4

Observation 5cc49cfc-d02a-42f4-a26d-0c465f59930d · outbound

This paper cites an unresolved cited work.

A Mathematical and Optimal Control Model for Rabies Transmission Dynamics Among Humans and Dogs with Environmental Effects Unresolved cited work

Reference 9

Resolution
verified exact
doi, observed 2026-08-06T18:34:06.095748Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T18:34:05.414464Z digest=sha256:bfa82e303f205b610615f9ffdf660fe95ad9668bacc6d869cd6156d6bdcbf60a

Observation 608a543b-f6f3-4408-b622-23c3a2cf7f93 · outbound

This paper cites Velasco-Villa, L.

A Mathematical and Optimal Control Model for Rabies Transmission Dynamics Among Humans and Dogs with Environmental Effects Velasco-Villa, L

Reference 10

Resolution
verified exact
doi, observed 2026-08-06T18:34:06.069307Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T18:34:05.423085Z digest=sha256:c412e6091066f3db7c450a894a3b2024524f1a3060d957386bdc5bd9bd26eca0

Observation 30395e31-5f90-4884-bd18-3552890387be · outbound

This paper cites an unresolved cited work.

A Mathematical and Optimal Control Model for Rabies Transmission Dynamics Among Humans and Dogs with Environmental Effects Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-06T18:34:06.663497Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T18:34:05.429277Z digest=sha256:9b516d78064b2c550da4fec7b1a6bc6480af4e80febba664f6b49be8842ede20

Observation 17cc9e4d-45b4-4a23-821b-a6690d1208ef · outbound

This paper cites Hampson, L.

A Mathematical and Optimal Control Model for Rabies Transmission Dynamics Among Humans and Dogs with Environmental Effects Hampson, L

Reference 12

Resolution
verified exact
doi, observed 2026-08-06T18:34:06.048924Z

Source-reported events for the cited work

correction dated 2015-05-11. Source: crossref record 10.1371/journal.pntd.0003786->10.1371/journal.pntd.0003709:correction, observed 2026-07-11T03:02:03.908903+00:00. This notice travels one citation hop only.

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Observation 95f079bf-f53e-44c0-b29c-ed1ea3d4c741 · outbound

This paper cites Changalucha, R.

A Mathematical and Optimal Control Model for Rabies Transmission Dynamics Among Humans and Dogs with Environmental Effects Changalucha, R

Reference 13

Resolution
verified exact
doi, observed 2026-08-06T18:34:06.032756Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T18:34:05.452243Z digest=sha256:3b1ecb3dc6d689ec9ad19ea45a687281fcbf66a9d1e6e5870e251a66fbeb30fd

Observation a63570de-4b11-4239-afbb-d78c81f3d62a · outbound

This paper cites an unresolved cited work.

A Mathematical and Optimal Control Model for Rabies Transmission Dynamics Among Humans and Dogs with Environmental Effects Unresolved cited work

Reference 14

Resolution
verified exact
doi, observed 2026-08-06T18:34:06.012836Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T18:34:05.459157Z digest=sha256:c5d48893b9dd69067f00e5b5f2973db8c563daf3f8836eb19af69127ebaa67b4

Observation 66b09b40-3bed-49dd-a64b-98f5e23644b0 · outbound

This paper cites an unresolved cited work.

A Mathematical and Optimal Control Model for Rabies Transmission Dynamics Among Humans and Dogs with Environmental Effects Unresolved cited work

Reference 15

Resolution
verified exact
doi, observed 2026-08-06T18:34:05.992691Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T18:34:05.464989Z digest=sha256:07294abd04e83d7ca905222984bd4c1a7d3a53cce47a2dda4c5edf093d88c18b

Observation c735f05a-22a2-42c8-8b1a-0567ecc8aa8a · outbound

This paper cites Abdulmajid, A.

A Mathematical and Optimal Control Model for Rabies Transmission Dynamics Among Humans and Dogs with Environmental Effects Abdulmajid, A

Reference 16

Resolution
verified exact
doi, observed 2026-08-06T18:34:05.970770Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T18:34:05.471810Z digest=sha256:575ac0e4b477aea402a80b4c4c7056e7947214e15c03fbf0c747b05945e5d24d

Observation 924ebba6-a0d9-4c45-8cdc-4fa86b7521ba · outbound

This paper cites an unresolved cited work.

A Mathematical and Optimal Control Model for Rabies Transmission Dynamics Among Humans and Dogs with Environmental Effects Unresolved cited work

Reference 17

Resolution
verified exact
doi, observed 2026-08-06T18:34:05.940486Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T18:34:05.477121Z digest=sha256:c793e504611084a1e0c3a28cce1191456735fa042cd43a8812238a900a2eea23

Observation f30106af-4a7c-4763-8603-f1f79a7819a2 · outbound

This paper cites Castillo-Chavez, Z.

A Mathematical and Optimal Control Model for Rabies Transmission Dynamics Among Humans and Dogs with Environmental Effects Castillo-Chavez, Z

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:34:06.641653Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T18:34:05.483625Z digest=sha256:e4e6b4f26d0a4725867db4ecf60254cbecc078803a933898d307f6fe1b1fca58

Observation de30f381-37a2-497e-b978-baddda69f4ac · outbound

This paper cites Stoddart, Existence of optimal controls, Pacific Journal of Mathematics 20 (1) (1967) 167–177.

A Mathematical and Optimal Control Model for Rabies Transmission Dynamics Among Humans and Dogs with Environmental Effects Stoddart, Existence of optimal controls, Pacific Journal of Mathematics 20 (1) (1967) 167–177

Reference 19

Resolution
verified exact
doi, observed 2026-08-06T18:34:05.906577Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T18:34:05.488285Z digest=sha256:420fc79574a14a3ed23dfe377d3770b464aa4f65ad7b2fb731b068d47d2f25e0

Observation 93eed78a-4da6-4546-a1d0-732c53bafe5d · outbound

This paper cites an unresolved cited work.

A Mathematical and Optimal Control Model for Rabies Transmission Dynamics Among Humans and Dogs with Environmental Effects Unresolved cited work

Reference 20

Resolution
verified exact
raw_fallback, observed 2026-08-06T18:34:06.307702Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T18:34:05.496614Z digest=sha256:00b06294c660853287a082105a72b07dd249b300e4c3c14fce846183b118783a

Observation bbd43e6f-daf5-4607-9766-7280f6ec858a · outbound

This paper cites an unresolved cited work.

A Mathematical and Optimal Control Model for Rabies Transmission Dynamics Among Humans and Dogs with Environmental Effects Unresolved cited work

Reference 21

Resolution
malformed identifier
raw_fallback, observed 2026-08-06T18:34:06.620306Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T18:34:05.504265Z digest=sha256:b0e8ea163ea302dbaae29d1b7fdd179fa67e60c8d76fc1ca7ae0dd192ace5b02

Observation 0edb82f8-653b-4717-ba56-b77de641567c · outbound

This paper cites Yamada, K.

A Mathematical and Optimal Control Model for Rabies Transmission Dynamics Among Humans and Dogs with Environmental Effects Yamada, K

Reference 22

Resolution
verified exact
doi, observed 2026-08-06T18:34:05.882464Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T18:34:05.511357Z digest=sha256:ca4350fba6dc37965ac688239f907d122f04df422c38ee1ea56acf9eb781b155

Observation dd293c57-55c2-4801-beca-4f18f7db7eae · outbound

This paper cites an unresolved cited work.

A Mathematical and Optimal Control Model for Rabies Transmission Dynamics Among Humans and Dogs with Environmental Effects Unresolved cited work

Reference 23

Resolution
verified exact
doi, observed 2026-08-06T18:34:05.863374Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T18:34:05.522852Z digest=sha256:6dba39a3caa38d2e664fcc0946ee89b4df07ec66e31d699141ce10d39bfa59c0

Observation a6e0859f-39cb-42ab-88f8-b0ca8a2f265f · outbound

This paper cites an unresolved cited work.

A Mathematical and Optimal Control Model for Rabies Transmission Dynamics Among Humans and Dogs with Environmental Effects Unresolved cited work

Reference 24

Resolution
unresolved
raw_fallback, observed 2026-08-06T18:34:06.602314Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T18:34:05.529425Z digest=sha256:0aa19f23b56ccdf96d044ab19f3841d0334ab4a34931d76dc8383686f7e7bae1

Observation 3fd29d8c-5128-445c-9461-65107ad12453 · outbound

This paper cites Campos, C.

A Mathematical and Optimal Control Model for Rabies Transmission Dynamics Among Humans and Dogs with Environmental Effects Campos, C

Reference 25

Resolution
verified exact
doi, observed 2026-08-06T18:34:05.833876Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T18:34:05.535990Z digest=sha256:223c61c0acae898f37e817f5dc6867c9db1546dcd4a0b9496b3dab8984eb5f29

Observation 17715896-361d-4b58-b46b-cf486715fc23 · outbound

This paper cites an unresolved cited work.

A Mathematical and Optimal Control Model for Rabies Transmission Dynamics Among Humans and Dogs with Environmental Effects Unresolved cited work

Reference 26

Resolution
verified exact
doi, observed 2026-08-06T18:34:05.808279Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T18:34:05.554448Z digest=sha256:ee5bff16d8f3d165c9908b2e02a5ae9a45606027232a5788caf7b9b25c7aeead

Observation afab2c11-2fc3-4ea8-aabc-a931a0c40714 · outbound

This paper cites Zhang, Z.

A Mathematical and Optimal Control Model for Rabies Transmission Dynamics Among Humans and Dogs with Environmental Effects Zhang, Z

Reference 27

Resolution
verified exact
doi, observed 2026-08-06T18:34:05.787906Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T18:34:05.558890Z digest=sha256:ebf38c33e6674a5e536749d6ba4be13950acdf522e18c67d84595982b9e70405

Observation 3e9b4023-e43a-4345-acf3-45340585f7f2 · outbound

This paper cites an unresolved cited work.

A Mathematical and Optimal Control Model for Rabies Transmission Dynamics Among Humans and Dogs with Environmental Effects Unresolved cited work

Reference 28

Resolution
unresolved
raw_fallback, observed 2026-08-06T18:34:06.572309Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T18:34:05.566169Z digest=sha256:f5c63849e49f87cfbbf9a6dbcf43aaaea87859b0821d6dad8583d67f151c1d48

Observation 05983d9b-4d33-4794-96ea-3fa35aa54e2a · outbound

This paper cites an unresolved cited work.

A Mathematical and Optimal Control Model for Rabies Transmission Dynamics Among Humans and Dogs with Environmental Effects Unresolved cited work

Reference 29

Resolution
unresolved
raw_fallback, observed 2026-08-06T18:34:06.549669Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T18:34:05.573776Z digest=sha256:cbd700274323af147c8317c4169e698142f51a7df9a41ad702f40e7eee014ab5

Observation 8b5a21fc-5a6d-4fae-a94b-9f7738eb7cb2 · outbound

This paper cites an unresolved cited work.

A Mathematical and Optimal Control Model for Rabies Transmission Dynamics Among Humans and Dogs with Environmental Effects Unresolved cited work

Reference 30

Resolution
unresolved
raw_fallback, observed 2026-08-06T18:34:06.528283Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T18:34:05.584619Z digest=sha256:62ee962e134c770198a21c340a3463b2825736a4c4a283b40cfb513085e23915

Observation 23966339-083e-4014-b861-70e83901d670 · outbound

This paper cites Hampson, F.

A Mathematical and Optimal Control Model for Rabies Transmission Dynamics Among Humans and Dogs with Environmental Effects Hampson, F

Reference 31

Resolution
verified exact
doi, observed 2026-08-06T18:34:05.765900Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T18:34:05.593149Z digest=sha256:86cc7d0d44fb8e526a3170c049b8926b50a1ab11caf4d57f41b5e836ab342cae

Observation 35a9bc8a-241b-4b2f-9d9a-a7b448c27e4a · outbound

This paper cites Ruan, Spatiotemporal epidemic models for rabies among animals, Infectious disease modelling 2 (3) (2017) 277–287.

A Mathematical and Optimal Control Model for Rabies Transmission Dynamics Among Humans and Dogs with Environmental Effects Ruan, Spatiotemporal epidemic models for rabies among animals, Infectious disease modelling 2 (3) (2017) 277–287

Reference 32

Resolution
verified exact
doi, observed 2026-08-06T18:34:05.734450Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T18:34:05.599020Z digest=sha256:9068e8b5c1fcf3278939de41195508208271030c54fc9cc6940774ad7e6dbba8

Observation 3bb192e6-081f-4dd4-9f61-bff728bf4744 · outbound

This paper cites an unresolved cited work.

A Mathematical and Optimal Control Model for Rabies Transmission Dynamics Among Humans and Dogs with Environmental Effects Unresolved cited work

Reference 33

Resolution
verified exact
doi, observed 2026-08-06T18:34:05.711696Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T18:34:05.609221Z digest=sha256:b701ddae0f5454b9a273a819d11a9772b526ade02042aacb699e1e97b1e0f3fd

Observation b1ee134d-6913-4614-bd37-31a03c7e0d75 · outbound

This paper cites an unresolved cited work.

A Mathematical and Optimal Control Model for Rabies Transmission Dynamics Among Humans and Dogs with Environmental Effects Unresolved cited work

Reference 34

Resolution
verified exact
doi, observed 2026-08-06T18:34:05.686922Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T18:34:05.614088Z digest=sha256:725d9af9a1cc69105b2d8b0cb0e8a6a847ce45e0ec4d05ede24b8c7eae1133f2

Observation e1bdf3ad-5259-4986-88cd-739270267236 · outbound

This paper cites G¨ um¨ u¸ s, S.

A Mathematical and Optimal Control Model for Rabies Transmission Dynamics Among Humans and Dogs with Environmental Effects G¨ um¨ u¸ s, S

Reference 35

Resolution
verified exact
doi, observed 2026-08-06T18:34:05.665147Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T18:34:05.620421Z digest=sha256:1e0c160e9de4dbd7e5ce2959c86f53e6be3b0e31f21a5151fe7eec975ef8c5b4

Pith citing papers

No inbound Pith citation observations are available.