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Paper Citation Record · LEDGER

A Symbolic Homotopy Algorithm for Solving Composable Polynomial Systems

As of 19 August 2026, this Paper Citation Record lists 40 of 40 outbound references and 0 inbound Pith citation observations for arXiv:2605.22514.

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

pith.paper-citation-record.v1
2605.22514 v1

Coverage vector

measured 40 of 40 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-22T01:40:08.023772Z

measured 40 of 40 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.

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

40 of 40 outbound references displayed

  • verified exact4
  • verified fuzzy8
  • unresolved28
  • parse uncertain0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 068dd15b-ad07-4bcd-b109-8587f84a593e · outbound

This paper cites an unresolved cited work.

A Symbolic Homotopy Algorithm for Solving Composable Polynomial Systems Unresolved cited work

Reference 1

Resolution
unresolved
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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 3ae60ea2-0770-4432-a794-d67afc146880 · outbound

This paper cites an unresolved cited work.

A Symbolic Homotopy Algorithm for Solving Composable Polynomial Systems Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-05-22T01:40:54.384465Z

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 aab470c1-bf4e-431b-b292-0d8c21292cb1 · outbound

This paper cites an unresolved cited work.

A Symbolic Homotopy Algorithm for Solving Composable Polynomial Systems Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-05-22T01:40:54.422815Z

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 7fa242ba-d92c-4af0-9bcb-c1c73a4cb12d · outbound

This paper cites an unresolved cited work.

A Symbolic Homotopy Algorithm for Solving Composable Polynomial Systems Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-05-22T01:40:54.361874Z

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=2026-05-22T01:40:08.023772Z digest=sha256:ba86130da55b57a280d27fee589dc2afe0aec244b95e6b522baa883b47caea25

Observation 7292b90d-547e-4fc6-ae1d-18bf34baefd9 · outbound

This paper cites 2002.Computational Invariant Theory.

A Symbolic Homotopy Algorithm for Solving Composable Polynomial Systems 2002.Computational Invariant Theory

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-05-22T01:40:54.430069Z

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=2026-05-22T01:40:08.023772Z digest=sha256:086a2d7061ecbd685db64f5c0b6584fccc0e73a7f16b265133e3cbadf8249b8e

Observation d59839fc-512e-4555-9ba5-c77224b3136a · outbound

This paper cites an unresolved cited work.

A Symbolic Homotopy Algorithm for Solving Composable Polynomial Systems Unresolved cited work

Reference 6

Resolution
verified exact
doi, observed 2026-05-22T01:40:53.850359Z

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 ff2e5c77-29f2-4703-8bc6-8250b3da543e · outbound

This paper cites an unresolved cited work.

A Symbolic Homotopy Algorithm for Solving Composable Polynomial Systems Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-05-22T01:40:54.426488Z

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=2026-05-22T01:40:08.023772Z digest=sha256:bb46875227d08baff54af851ad34e9eae69782e28771c56ed53bd1700cfe1d67

Observation 1c91c2fd-c881-43dc-8545-bbbae689c27d · outbound

This paper cites an unresolved cited work.

A Symbolic Homotopy Algorithm for Solving Composable Polynomial Systems Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-05-22T01:40:54.388207Z

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=2026-05-22T01:40:08.023772Z digest=sha256:4966d666b86d7118367376978e661ecb6776e8974695dea8808ee5da1bad6201

Observation d560f363-b481-4335-a92c-df9b991e6c1e · outbound

This paper cites 2002.Computers and intractability.

A Symbolic Homotopy Algorithm for Solving Composable Polynomial Systems 2002.Computers and intractability

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-05-22T01:40:54.448412Z

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=2026-05-22T01:40:08.023772Z digest=sha256:a56e82680a15a1699b6ede440aafee6d7e51abc614565f2746ec2ae07cc0e22d

Observation b74026f9-0e9e-4f06-862a-a3fe49ed4df8 · outbound

This paper cites an unresolved cited work.

A Symbolic Homotopy Algorithm for Solving Composable Polynomial Systems Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-05-22T01:40:54.403526Z

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 26068e87-14d4-443e-8912-cc20301819db · outbound

This paper cites an unresolved cited work.

A Symbolic Homotopy Algorithm for Solving Composable Polynomial Systems Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-05-22T01:40:54.406900Z

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 62a79f5d-5cc9-4fa9-ad5c-cf10324a4769 · outbound

This paper cites an unresolved cited work.

A Symbolic Homotopy Algorithm for Solving Composable Polynomial Systems Unresolved cited work

Reference 12

Resolution
unresolved
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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 03c4be00-e774-468c-aef6-c444b9319e07 · outbound

This paper cites an unresolved cited work.

A Symbolic Homotopy Algorithm for Solving Composable Polynomial Systems Unresolved cited work

Reference 13

Resolution
verified exact
arxiv_id, observed 2026-05-22T01:40:53.843002Z

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 ff4da55f-042e-487d-ba05-7aaa491377aa · outbound

This paper cites an unresolved cited work.

A Symbolic Homotopy Algorithm for Solving Composable Polynomial Systems Unresolved cited work

Reference 14

Resolution
unresolved
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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 7baf45d1-ad8f-4b95-b3d5-25397d97bbfd · outbound

This paper cites an unresolved cited work.

A Symbolic Homotopy Algorithm for Solving Composable Polynomial Systems Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-05-22T01:40:54.376980Z

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 a1b6fa6b-1c01-4bc9-93d1-1786dcd493ed · outbound

This paper cites an unresolved cited work.

A Symbolic Homotopy Algorithm for Solving Composable Polynomial Systems Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-05-22T01:40:54.351171Z

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 0c2185c2-5e44-43e9-959e-b8f269c776df · outbound

This paper cites an unresolved cited work.

A Symbolic Homotopy Algorithm for Solving Composable Polynomial Systems Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-05-22T01:40:54.354840Z

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 e6ed4b52-22c1-461a-92ae-55985bb259db · outbound

This paper cites an unresolved cited work.

A Symbolic Homotopy Algorithm for Solving Composable Polynomial Systems Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-05-22T01:40:54.415897Z

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 085be205-77b8-47c3-b55a-3bfdf64d677a · outbound

This paper cites an unresolved cited work.

A Symbolic Homotopy Algorithm for Solving Composable Polynomial Systems Unresolved cited work

Reference 19

Resolution
unresolved
raw_fallback, observed 2026-05-22T01:40:54.380689Z

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 cceb3192-61f8-4265-9fa4-4336025b8093 · outbound

This paper cites an unresolved cited work.

A Symbolic Homotopy Algorithm for Solving Composable Polynomial Systems Unresolved cited work

Reference 20

Resolution
unresolved
raw_fallback, observed 2026-05-22T01:40:54.395740Z

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=2026-05-22T01:40:08.023772Z digest=sha256:23fa67d52c3fb94eaeb37272f108afaba4a555d1777fbfdd912622b59b0c671c

Observation e12f0259-bdfb-4f3b-924b-6d50938de2ee · outbound

This paper cites an unresolved cited work.

A Symbolic Homotopy Algorithm for Solving Composable Polynomial Systems Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-05-22T01:40:54.373486Z

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=2026-05-22T01:40:08.023772Z digest=sha256:ec789dcae32074d0490a4189ccba7e146b05fa0f248811cb98ae494792cc71bc

Observation 6d6eddb0-7fe0-4974-82e3-f4578fa58995 · outbound

This paper cites 2009.Unitary reflection groups.

A Symbolic Homotopy Algorithm for Solving Composable Polynomial Systems 2009.Unitary reflection groups

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-05-22T01:40:54.419641Z

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 8637b8f0-6bb0-44db-a682-bb7c898a25e0 · outbound

This paper cites an unresolved cited work.

A Symbolic Homotopy Algorithm for Solving Composable Polynomial Systems Unresolved cited work

Reference 23

Resolution
unresolved
raw_fallback, observed 2026-05-22T01:40:54.365513Z

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 c6031f8e-cc2c-4feb-9958-e680f3c5322e · outbound

This paper cites Deciding Connectivity in Symmetric Semi-Algebraic Sets.

A Symbolic Homotopy Algorithm for Solving Composable Polynomial Systems Deciding Connectivity in Symmetric Semi-Algebraic Sets

Reference 24

Resolution
verified exact
arxiv_id, observed 2026-05-22T01:40:53.894305Z

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 84ca15e0-a7ba-4b58-985b-c2eae124e8da · outbound

This paper cites an unresolved cited work.

A Symbolic Homotopy Algorithm for Solving Composable Polynomial Systems Unresolved cited work

Reference 25

Resolution
unresolved
raw_fallback, observed 2026-05-22T01:40:54.369869Z

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=2026-05-22T01:40:08.023772Z digest=sha256:4a80bec86b550f5fb7dc041e26d17d3281f4e4569b1a2bb34390393d77a0f9f5

Observation 7cd828ac-4761-46e7-93c8-259345e6773a · outbound

This paper cites Mathematics of Operations Research38, 1 (2013), 122–141.

A Symbolic Homotopy Algorithm for Solving Composable Polynomial Systems Mathematics of Operations Research38, 1 (2013), 122–141

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-05-22T01:40:54.347747Z

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=2026-05-22T01:40:08.023772Z digest=sha256:692c0998d129224f1851cc6678683477ec96600190c3a6492c6c5739c9f37157

Observation a1346099-02ee-430f-a9ef-20c0652b2e92 · outbound

This paper cites an unresolved cited work.

A Symbolic Homotopy Algorithm for Solving Composable Polynomial Systems Unresolved cited work

Reference 27

Resolution
unresolved
raw_fallback, observed 2026-05-22T01:40:54.433780Z

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 00f62f5c-98d1-44a9-8e7c-a9cf8cdee0e8 · outbound

This paper cites an unresolved cited work.

A Symbolic Homotopy Algorithm for Solving Composable Polynomial Systems Unresolved cited work

Reference 28

Resolution
unresolved
raw_fallback, observed 2026-05-22T01:40:54.456351Z

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 20a14256-651f-4195-815e-cc945728e31d · outbound

This paper cites an unresolved cited work.

A Symbolic Homotopy Algorithm for Solving Composable Polynomial Systems Unresolved cited work

Reference 29

Resolution
unresolved
raw_fallback, observed 2026-05-22T01:40:54.452485Z

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 425d43ad-f2ad-40ed-a898-a2031afcefe0 · outbound

This paper cites an unresolved cited work.

A Symbolic Homotopy Algorithm for Solving Composable Polynomial Systems Unresolved cited work

Reference 30

Resolution
unresolved
raw_fallback, observed 2026-05-22T01:40:54.343852Z

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 95c7a466-6e2b-48fb-b573-85cc4cf219c1 · outbound

This paper cites an unresolved cited work.

A Symbolic Homotopy Algorithm for Solving Composable Polynomial Systems Unresolved cited work

Reference 31

Resolution
unresolved
raw_fallback, observed 2026-05-22T01:40:54.444780Z

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=2026-05-22T01:40:08.023772Z digest=sha256:e6a4b1433c4cea756e2eeafa9086b05fbc4a508496a0803a3aa211036a19a47b

Observation 8d58ff3d-6fa3-47e9-8192-1f04a60c0226 · outbound

This paper cites an unresolved cited work.

A Symbolic Homotopy Algorithm for Solving Composable Polynomial Systems Unresolved cited work

Reference 32

Resolution
unresolved
raw_fallback, observed 2026-05-22T01:40:54.339790Z

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=2026-05-22T01:40:08.023772Z digest=sha256:d98ac9deaf37d3d19a6c1158ac7c06b144e9ad729dfcbb8c813bf8615093ff4e

Observation c2d2a8dc-857b-4167-abe3-84fd9a2c8fc6 · outbound

This paper cites 1993.Algorithms in Invariant Theory.

A Symbolic Homotopy Algorithm for Solving Composable Polynomial Systems 1993.Algorithms in Invariant Theory

Reference 33

Resolution
verified fuzzy
raw_fallback, observed 2026-05-22T01:40:54.459785Z

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=2026-05-22T01:40:08.023772Z digest=sha256:655296bd863d6cb0cab9a1a5e81426aa0ba97f1b95c03c71ccb8d9bc7c618724

Observation f9eec1f3-68d0-4447-8284-4caa5c9d4406 · outbound

This paper cites 2002.Solving Systems of Polynomial Equations.

A Symbolic Homotopy Algorithm for Solving Composable Polynomial Systems 2002.Solving Systems of Polynomial Equations

Reference 34

Resolution
verified fuzzy
raw_fallback, observed 2026-05-22T01:40:54.335503Z

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=2026-05-22T01:40:08.023772Z digest=sha256:ec1cb911c050c1fa79d9dfefad8b8fc1d0d6a68572c28ab5ef7e7fe04c18ce6f

Observation dfb7b0b0-48e3-43a6-9769-da43d0646f15 · outbound

This paper cites an unresolved cited work.

A Symbolic Homotopy Algorithm for Solving Composable Polynomial Systems Unresolved cited work

Reference 35

Resolution
unresolved
raw_fallback, observed 2026-05-22T01:40:54.411957Z

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=2026-05-22T01:40:08.023772Z digest=sha256:0921db12372ccc562321c16063921f10429a1b5df898d46d48f79696524c5579

Observation 8c96e643-5d2f-4b69-a42f-e44026e8ccef · outbound

This paper cites 2013.Modern computer algebra.

A Symbolic Homotopy Algorithm for Solving Composable Polynomial Systems 2013.Modern computer algebra

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-05-22T01:40:54.437638Z

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=2026-05-22T01:40:08.023772Z digest=sha256:416addc360f13ed15b86f15881d520c7d4c0508192caba60c5533e372a619130

Observation 9adad271-7127-4fd1-900a-f23166b81cf5 · outbound

This paper cites 2020.Homotopy algorithms for solving structured determinantal systems.

A Symbolic Homotopy Algorithm for Solving Composable Polynomial Systems 2020.Homotopy algorithms for solving structured determinantal systems

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-05-22T01:40:54.441366Z

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=2026-05-22T01:40:08.023772Z digest=sha256:fba41a95da8ae8ba8e18ce0a4d10513da90b9dab672975979e00a89a779ca3ad

Observation 3d1dfd41-9524-4469-89da-eb69a4c908d5 · outbound

This paper cites an unresolved cited work.

A Symbolic Homotopy Algorithm for Solving Composable Polynomial Systems Unresolved cited work

Reference 38

Resolution
unresolved
raw_fallback, observed 2026-05-22T01:40:54.462900Z

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=2026-05-22T01:40:08.023772Z digest=sha256:7bfaf9697f88fadbde871403d2ebbb44a160f58c43aca63f22ac5f0ed1751da8

Observation 7f440b9e-353b-42fc-adb9-3a48fae9c677 · outbound

This paper cites an unresolved cited work.

A Symbolic Homotopy Algorithm for Solving Composable Polynomial Systems Unresolved cited work

Reference 39

Resolution
unresolved
raw_fallback, observed 2026-05-22T01:40:54.331352Z

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=2026-05-22T01:40:08.023772Z digest=sha256:c8c7d0f82d22332cebe93bd7254cc4145c02ec09d5ad359c14a517b84003349d

Observation cb44af29-9610-4f90-9977-39ea176de70b · outbound

This paper cites an unresolved cited work.

A Symbolic Homotopy Algorithm for Solving Composable Polynomial Systems Unresolved cited work

Reference 40

Resolution
verified exact
doi, observed 2026-05-22T01:40:53.830265Z

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=2026-05-22T01:40:08.023772Z digest=sha256:033c316ebc80fb84a680863746aa0a1b753f1920183daef52bfccb011066afdb

Pith citing papers

No inbound Pith citation observations are available.