Paper Citation Record · LEDGER

PCPOP.jl: A Julia package for partially commutative polynomial optimization

As of 18 August 2026, this Paper Citation Record lists 65 of 65 outbound references and 0 inbound Pith citation observations for arXiv:2607.09339.

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

pith.paper-citation-record.v1
2607.09339 v2

Coverage vector

measured 65 of 65 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-14T15:14:37.647271Z

measured 65 of 65 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 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

65 of 65 outbound references displayed

verified exact0
verified fuzzy0
unresolved65
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 3459b7cf-f266-42a8-8095-9014f53040ca · outbound

This paper cites Ac ´ ın, T.

PCPOP.jl: A Julia package for partially commutative polynomial optimization Ac ´ ın, T

Reference 1

Resolution: unresolved; no resolver link, observed 2026-07-14T15:14:37.647271Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 04585e3c-ff67-483c-b763-b2e49721002f · outbound

This paper cites Adhikary, A.

PCPOP.jl: A Julia package for partially commutative polynomial optimization Adhikary, A

Reference 2

Resolution: unresolved; no resolver link, observed 2026-07-14T15:14:37.647271Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4b28294d-1894-4336-a423-0a5fba3530a7 · outbound

This paper cites Ara´ ujo, M.

PCPOP.jl: A Julia package for partially commutative polynomial optimization Ara´ ujo, M

Reference 3

Resolution: unresolved; no resolver link, observed 2026-07-14T15:14:37.647271Z

Source-reported events for the cited work

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Observation 29d42a4c-d47a-47b3-9dc5-1fa614292688 · outbound

This paper cites Ate¸ s, E.

PCPOP.jl: A Julia package for partially commutative polynomial optimization Ate¸ s, E

Reference 4

Resolution: unresolved; no resolver link, observed 2026-07-14T15:14:37.647271Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation abf6803e-bda2-41ee-b51f-3f0c1d135f54 · outbound

This paper cites Boghiu, E.

PCPOP.jl: A Julia package for partially commutative polynomial optimization Boghiu, E

Reference 5

Resolution: unresolved; no resolver link, observed 2026-07-14T15:14:37.647271Z

Source-reported events for the cited work

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Observation f71ae46d-5b94-4253-a152-e643c5c5abff · outbound

This paper cites Brosch and E.

PCPOP.jl: A Julia package for partially commutative polynomial optimization Brosch and E

Reference 6

Resolution: unresolved; no resolver link, observed 2026-07-14T15:14:37.647271Z

Source-reported events for the cited work

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Observation ed91eff8-7159-4acd-b328-e30165a7127d · outbound

This paper cites Brown, H.

PCPOP.jl: A Julia package for partially commutative polynomial optimization Brown, H

Reference 7

Resolution: unresolved; no resolver link, observed 2026-07-14T15:14:37.647271Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 84321d82-d436-40c3-b198-636b4b4287ef · outbound

This paper cites Burgdorf, K.

PCPOP.jl: A Julia package for partially commutative polynomial optimization Burgdorf, K

Reference 8

Resolution: unresolved; no resolver link, observed 2026-07-14T15:14:37.647271Z

Source-reported events for the cited work

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Observation 2621ab69-3bf7-41c6-b7ad-38e1eeb7fb0a · outbound

This paper cites Burgdorf, I.

PCPOP.jl: A Julia package for partially commutative polynomial optimization Burgdorf, I

Reference 9

Resolution: unresolved; no resolver link, observed 2026-07-14T15:14:37.647271Z

Source-reported events for the cited work

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Observation 469f65a6-f09e-4e9b-89e5-d2da144962bb · outbound

This paper cites Cartier and D.

PCPOP.jl: A Julia package for partially commutative polynomial optimization Cartier and D

Reference 10

Resolution: unresolved; no resolver link, observed 2026-07-14T15:14:37.647271Z

Source-reported events for the cited work

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Observation 450563bb-053a-4f43-b4b2-8c7c979ff558 · outbound

This paper cites Chaturvedi, G.

PCPOP.jl: A Julia package for partially commutative polynomial optimization Chaturvedi, G

Reference 11

Resolution: unresolved; no resolver link, observed 2026-07-14T15:14:37.647271Z

Source-reported events for the cited work

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Observation cc05059c-ac01-4e21-a27e-18639c1ff13c · outbound

This paper cites an unresolved cited work.

PCPOP.jl: A Julia package for partially commutative polynomial optimization Unresolved cited work

Reference 12

Resolution: unresolved; no resolver link, observed 2026-07-14T15:14:37.647271Z

Source-reported events for the cited work

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Observation a760b723-76d2-4c76-a2de-5b8c7dd684cc · outbound

This paper cites an unresolved cited work.

PCPOP.jl: A Julia package for partially commutative polynomial optimization Unresolved cited work

Reference 13

Resolution: unresolved; no resolver link, observed 2026-07-14T15:14:37.647271Z

Source-reported events for the cited work

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Observation 7a864160-d2f7-457e-b1e7-ad2b9d2ae81e · outbound

This paper cites Dandan and V.

PCPOP.jl: A Julia package for partially commutative polynomial optimization Dandan and V

Reference 14

Resolution: unresolved; no resolver link, observed 2026-07-14T15:14:37.647271Z

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Observation 790142d3-2c0d-4706-94a9-e2baa1be6c0e · outbound

This paper cites Devetak and A.

PCPOP.jl: A Julia package for partially commutative polynomial optimization Devetak and A

Reference 15

Resolution: unresolved; no resolver link, observed 2026-07-14T15:14:37.647271Z

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Observation ea167cb5-de6a-44c7-972f-36e388a90f4c · outbound

This paper cites Diekert and Y.

PCPOP.jl: A Julia package for partially commutative polynomial optimization Diekert and Y

Reference 16

Resolution: unresolved; no resolver link, observed 2026-07-14T15:14:37.647271Z

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Observation 1c4aa43a-8191-4b43-8f69-67cbcfb1f50c · outbound

This paper cites an unresolved cited work.

PCPOP.jl: A Julia package for partially commutative polynomial optimization Unresolved cited work

Reference 17

Resolution: unresolved; no resolver link, observed 2026-07-14T15:14:37.647271Z

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Observation aa20b866-d814-4380-94f0-813e9a16f212 · outbound

This paper cites an unresolved cited work.

PCPOP.jl: A Julia package for partially commutative polynomial optimization Unresolved cited work

Reference 18

Resolution: unresolved; no resolver link, observed 2026-07-14T15:14:37.647271Z

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Observation 1871a0c1-9d12-4a68-aacb-b1b817c707aa · outbound

This paper cites Gatermann and P.

PCPOP.jl: A Julia package for partially commutative polynomial optimization Gatermann and P

Reference 19

Resolution: unresolved; no resolver link, observed 2026-07-14T15:14:37.647271Z

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Observation 43d8940c-2bd0-44ce-ac8d-89e05ba4581f · outbound

This paper cites Helton and S.

PCPOP.jl: A Julia package for partially commutative polynomial optimization Helton and S

Reference 20

Resolution: unresolved; no resolver link, observed 2026-07-14T15:14:37.647271Z

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Observation d71be635-da41-4dce-aaea-c490d6b4e1a0 · outbound

This paper cites Ioannou and D.

PCPOP.jl: A Julia package for partially commutative polynomial optimization Ioannou and D

Reference 21

Resolution: unresolved; no resolver link, observed 2026-07-14T15:14:37.647271Z

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Observation b8e24c21-dae8-44a4-89a3-15ad60f6bff4 · outbound

This paper cites Kaluba, P.

PCPOP.jl: A Julia package for partially commutative polynomial optimization Kaluba, P

Reference 22

Resolution: unresolved; no resolver link, observed 2026-07-14T15:14:37.647271Z

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Observation 8a3013e8-1aef-45c3-9646-d17922147135 · outbound

This paper cites Karmarkar.

PCPOP.jl: A Julia package for partially commutative polynomial optimization Karmarkar

Reference 23

Resolution: unresolved; no resolver link, observed 2026-07-14T15:14:37.647271Z

Source-reported events for the cited work

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Observation 336c555d-153b-4d67-8c2f-c0fbae73c6d2 · outbound

This paper cites an unresolved cited work.

PCPOP.jl: A Julia package for partially commutative polynomial optimization Unresolved cited work

Reference 24

Resolution: unresolved; no resolver link, observed 2026-07-14T15:14:37.647271Z

Source-reported events for the cited work

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Observation e3bcfaf5-44cc-4fa6-8847-5b0f92979c3b · outbound

This paper cites an unresolved cited work.

PCPOP.jl: A Julia package for partially commutative polynomial optimization Unresolved cited work

Reference 25

Resolution: unresolved; no resolver link, observed 2026-07-14T15:14:37.647271Z

Source-reported events for the cited work

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Observation 5d9352e4-7bc5-48e8-a7ac-55e5d36155bd · outbound

This paper cites an unresolved cited work.

PCPOP.jl: A Julia package for partially commutative polynomial optimization Unresolved cited work

Reference 26

Resolution: unresolved; no resolver link, observed 2026-07-14T15:14:37.647271Z

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Observation dfb2a77a-5128-41d7-9f8d-8654ad0de60e · outbound

This paper cites an unresolved cited work.

PCPOP.jl: A Julia package for partially commutative polynomial optimization Unresolved cited work

Reference 27

Resolution: unresolved; no resolver link, observed 2026-07-14T15:14:37.647271Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4d124528-0369-44a1-acde-240b41db9274 · outbound

This paper cites an unresolved cited work.

PCPOP.jl: A Julia package for partially commutative polynomial optimization Unresolved cited work

Reference 28

Resolution: unresolved; no resolver link, observed 2026-07-14T15:14:37.647271Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 77edf77d-b302-47c3-ae20-185692652348 · outbound

This paper cites La Scala and V.

PCPOP.jl: A Julia package for partially commutative polynomial optimization La Scala and V

Reference 29

Resolution: unresolved; no resolver link, observed 2026-07-14T15:14:37.647271Z

Source-reported events for the cited work

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Observation c1b79466-3c1d-46ec-b75b-cb7ddc140e0e · outbound

This paper cites an unresolved cited work.

PCPOP.jl: A Julia package for partially commutative polynomial optimization Unresolved cited work

Reference 30

Resolution: unresolved; no resolver link, observed 2026-07-14T15:14:37.647271Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 56019215-604a-4602-bd9c-be21ec2ff106 · outbound

This paper cites Legat, C.

PCPOP.jl: A Julia package for partially commutative polynomial optimization Legat, C

Reference 31

Resolution: unresolved; no resolver link, observed 2026-07-14T15:14:37.647271Z

Source-reported events for the cited work

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Observation 7318f43e-2420-482b-9ec2-8260ba5f43bc · outbound

This paper cites Leijenhorst and D.

PCPOP.jl: A Julia package for partially commutative polynomial optimization Leijenhorst and D

Reference 32

Resolution: unresolved; no resolver link, observed 2026-07-14T15:14:37.647271Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 80613edd-3246-48f1-b568-106a190160ee · outbound

This paper cites an unresolved cited work.

PCPOP.jl: A Julia package for partially commutative polynomial optimization Unresolved cited work

Reference 33

Resolution: unresolved; no resolver link, observed 2026-07-14T15:14:37.647271Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a885ea31-46ec-4516-8b34-eef023f69eb8 · outbound

This paper cites an unresolved cited work.

PCPOP.jl: A Julia package for partially commutative polynomial optimization Unresolved cited work

Reference 34

Resolution: unresolved; no resolver link, observed 2026-07-14T15:14:37.647271Z

Source-reported events for the cited work

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Observation 7972ed03-063e-40d8-ba13-751186678381 · outbound

This paper cites an unresolved cited work.

PCPOP.jl: A Julia package for partially commutative polynomial optimization Unresolved cited work

Reference 35

Resolution: unresolved; no resolver link, observed 2026-07-14T15:14:37.647271Z

Source-reported events for the cited work

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Observation 0d035be1-5165-4985-b464-77fca7d3052e · outbound

This paper cites Magron and J.

PCPOP.jl: A Julia package for partially commutative polynomial optimization Magron and J

Reference 36

Resolution: unresolved; no resolver link, observed 2026-07-14T15:14:37.647271Z

Source-reported events for the cited work

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Observation 9002b9e8-d3f5-43cd-ae2c-069bc3cdd7e2 · outbound

This paper cites Mazurkiewicz.

PCPOP.jl: A Julia package for partially commutative polynomial optimization Mazurkiewicz

Reference 37

Resolution: unresolved; no resolver link, observed 2026-07-14T15:14:37.647271Z

Source-reported events for the cited work

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Observation cb9ea40b-d861-456f-bd12-fe58a276f399 · outbound

This paper cites an unresolved cited work.

PCPOP.jl: A Julia package for partially commutative polynomial optimization Unresolved cited work

Reference 38

Resolution: unresolved; no resolver link, observed 2026-07-14T15:14:37.647271Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1b82310a-6948-45ec-8f37-55a359d7b81e · outbound

This paper cites an unresolved cited work.

PCPOP.jl: A Julia package for partially commutative polynomial optimization Unresolved cited work

Reference 39

Resolution: unresolved; no resolver link, observed 2026-07-14T15:14:37.647271Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ce9a14f6-b411-4c0f-a1aa-94bd19e1452e · outbound

This paper cites Mishra, M.

PCPOP.jl: A Julia package for partially commutative polynomial optimization Mishra, M

Reference 40

Resolution: unresolved; no resolver link, observed 2026-07-14T15:14:37.647271Z

Source-reported events for the cited work

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Observation ca88b9ba-a99e-4b71-9d49-5a34eea9deda · outbound

This paper cites an unresolved cited work.

PCPOP.jl: A Julia package for partially commutative polynomial optimization Unresolved cited work

Reference 41

Resolution: unresolved; no resolver link, observed 2026-07-14T15:14:37.647271Z

Source-reported events for the cited work

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Observation 4dc677a1-8cb2-46e1-95d6-0f92c1756194 · outbound

This paper cites an unresolved cited work.

PCPOP.jl: A Julia package for partially commutative polynomial optimization Unresolved cited work

Reference 42

Resolution: unresolved; no resolver link, observed 2026-07-14T15:14:37.647271Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 05a1bd6b-1f5c-4cf0-bfb1-8f46a538b50f · outbound

This paper cites an unresolved cited work.

PCPOP.jl: A Julia package for partially commutative polynomial optimization Unresolved cited work

Reference 43

Resolution: unresolved; no resolver link, observed 2026-07-14T15:14:37.647271Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 56c32dbe-5ec0-4e6b-a68d-b6e300c9693c · outbound

This paper cites Murota, Y.

PCPOP.jl: A Julia package for partially commutative polynomial optimization Murota, Y

Reference 44

Resolution: unresolved; no resolver link, observed 2026-07-14T15:14:37.647271Z

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Observation 519d4220-c92c-4450-bd6b-bdc726b9d903 · outbound

This paper cites Nesterov and A.

PCPOP.jl: A Julia package for partially commutative polynomial optimization Nesterov and A

Reference 45

Resolution: unresolved; no resolver link, observed 2026-07-14T15:14:37.647271Z

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Observation 35b6d94c-ebb9-4e65-96fb-191e7a43c899 · outbound

This paper cites A vaiable athttps://github.com/oscar-system/Oscar.jl.

PCPOP.jl: A Julia package for partially commutative polynomial optimization A vaiable athttps://github.com/oscar-system/Oscar.jl

Reference 46

Resolution: unresolved; no resolver link, observed 2026-07-14T15:14:37.647271Z

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Observation 75d1d6da-481c-4ec5-8f1f-4adbd42d286f · outbound

This paper cites Pauwels, S.

PCPOP.jl: A Julia package for partially commutative polynomial optimization Pauwels, S

Reference 47

Resolution: unresolved; no resolver link, observed 2026-07-14T15:14:37.647271Z

Source-reported events for the cited work

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Observation e1d11af9-a0fa-41a6-b308-e11f00da1812 · outbound

This paper cites an unresolved cited work.

PCPOP.jl: A Julia package for partially commutative polynomial optimization Unresolved cited work

Reference 48

Resolution: unresolved; no resolver link, observed 2026-07-14T15:14:37.647271Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4505a48d-97e1-4dc8-93ce-2825e59a7805 · outbound

This paper cites Permenter and P.

PCPOP.jl: A Julia package for partially commutative polynomial optimization Permenter and P

Reference 49

Resolution: unresolved; no resolver link, observed 2026-07-14T15:14:37.647271Z

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Observation 56cf83e7-5b8c-4190-bb70-72854360be30 · outbound

This paper cites Pironio, M.

PCPOP.jl: A Julia package for partially commutative polynomial optimization Pironio, M

Reference 50

Resolution: unresolved; no resolver link, observed 2026-07-14T15:14:37.647271Z

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Observation 90b59ce2-bc6c-4f21-8d52-80b81e74cdca · outbound

This paper cites Pozas-Kerstjens, R.

PCPOP.jl: A Julia package for partially commutative polynomial optimization Pozas-Kerstjens, R

Reference 51

Resolution: unresolved; no resolver link, observed 2026-07-14T15:14:37.647271Z

Source-reported events for the cited work

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Observation b77c6cc9-331e-4100-b3a6-f883dc08b560 · outbound

This paper cites Renou, X.

PCPOP.jl: A Julia package for partially commutative polynomial optimization Renou, X

Reference 52

Resolution: unresolved; no resolver link, observed 2026-07-14T15:14:37.647271Z

Source-reported events for the cited work

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Observation cd68329f-e2d4-4ec0-ac02-308cc0a55ec1 · outbound

This paper cites an unresolved cited work.

PCPOP.jl: A Julia package for partially commutative polynomial optimization Unresolved cited work

Reference 53

Resolution: unresolved; no resolver link, observed 2026-07-14T15:14:37.647271Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 16b42e7c-dc05-4de2-a848-d000d3d45301 · outbound

This paper cites Tavakoli, E.

PCPOP.jl: A Julia package for partially commutative polynomial optimization Tavakoli, E

Reference 54

Resolution: unresolved; no resolver link, observed 2026-07-14T15:14:37.647271Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a01189f1-7378-4402-aae7-d5b907dc7528 · outbound

This paper cites Tavakoli, A.

PCPOP.jl: A Julia package for partially commutative polynomial optimization Tavakoli, A

Reference 55

Resolution: unresolved; no resolver link, observed 2026-07-14T15:14:37.647271Z

Source-reported events for the cited work

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Observation be991b05-edbe-4f3d-a3b9-ece0fae7399d · outbound

This paper cites an unresolved cited work.

PCPOP.jl: A Julia package for partially commutative polynomial optimization Unresolved cited work

Reference 56

Resolution: unresolved; no resolver link, observed 2026-07-14T15:14:37.647271Z

Source-reported events for the cited work

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Observation 04a1c373-2034-4312-a4af-4e040671955d · outbound

This paper cites Vandenberghe and S.

PCPOP.jl: A Julia package for partially commutative polynomial optimization Vandenberghe and S

Reference 57

Resolution: unresolved; no resolver link, observed 2026-07-14T15:14:37.647271Z

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Observation 8d6e91f7-bf02-4b8b-80c5-17ecfca9a267 · outbound

This paper cites an unresolved cited work.

PCPOP.jl: A Julia package for partially commutative polynomial optimization Unresolved cited work

Reference 58

Resolution: unresolved; no resolver link, observed 2026-07-14T15:14:37.647271Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f4b5755b-c099-4ce7-a196-e4cc03f88534 · outbound

This paper cites Weisser, B.

PCPOP.jl: A Julia package for partially commutative polynomial optimization Weisser, B

Reference 59

Resolution: unresolved; no resolver link, observed 2026-07-14T15:14:37.647271Z

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Observation cf34641f-a40b-4266-a525-48c68ac202e7 · outbound

This paper cites an unresolved cited work.

PCPOP.jl: A Julia package for partially commutative polynomial optimization Unresolved cited work

Reference 60

Resolution: unresolved; no resolver link, observed 2026-07-14T15:14:37.647271Z

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Observation 6f9f4ea9-066c-4392-bcd6-b08e1efdc1ef · outbound

This paper cites an unresolved cited work.

PCPOP.jl: A Julia package for partially commutative polynomial optimization Unresolved cited work

Reference 61

Resolution: unresolved; no resolver link, observed 2026-07-14T15:14:37.647271Z

Source-reported events for the cited work

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Observation aab3849e-7643-4de6-b006-5331fbb54cb3 · outbound

This paper cites Wolfe, A.

PCPOP.jl: A Julia package for partially commutative polynomial optimization Wolfe, A

Reference 62

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Observation e9d4ed6e-f800-4f44-a666-3666a8f6f272 · outbound

This paper cites Wolfe, R.

PCPOP.jl: A Julia package for partially commutative polynomial optimization Wolfe, R

Reference 63

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Observation 5f343045-c321-449b-a2cb-b4b20fda3ae3 · outbound

This paper cites Woodhead.

PCPOP.jl: A Julia package for partially commutative polynomial optimization Woodhead

Reference 64

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Observation a530daed-af5f-4183-b762-8720482eb850 · outbound

This paper cites Xiu.Non-commutative Gr¨ obner bases and applications.

PCPOP.jl: A Julia package for partially commutative polynomial optimization Xiu.Non-commutative Gr¨ obner bases and applications

Reference 65

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Pith citing papers

No inbound Pith citation observations are available.