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Paper Citation Record · LEDGER

RationalMaps, a package for Macaulay2

As of 16 August 2026, this Paper Citation Record lists 16 of 16 outbound references and 0 inbound Pith citation observations for arXiv:1908.04337.

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

pith.paper-citation-record.v1
1908.04337 v2

Coverage vector

measured 16 of 16 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T13:52:32.444772Z

measured 16 of 16 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+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

16 of 16 outbound references displayed

  • verified exact0
  • verified fuzzy12
  • unresolved4
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 726664b8-d46b-4ff0-9e10-1a0dd166721c · outbound

This paper cites an unresolved cited work.

RationalMaps, a package for Macaulay2 Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:52:32.727357Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T13:52:32.371658Z digest=sha256:cb5190b678f74368786eaae352ed45a51b392c53f3c2e8672d0779974704d075

Observation 87cf6ebe-9b3e-4335-88e0-8a595cfc1934 · outbound

This paper cites Boehm : Parametrization, Package for Macaulay2, see \\ http://www.math.uiuc.edu/Macaulay2/doc/Macaulay2-1.14/share/doc/Macaulay2/Parametrization/html/.

RationalMaps, a package for Macaulay2 Boehm : Parametrization, Package for Macaulay2, see \\ http://www.math.uiuc.edu/Macaulay2/doc/Macaulay2-1.14/share/doc/Macaulay2/Parametrization/html/

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:52:32.712594Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T13:52:32.376531Z digest=sha256:d806068e0a61057457a0ab28f85fde93e8e61ebcd97609eca4cc17113fc3c550

Observation 831d6145-b162-4ef8-be43-b0062b84a99a · outbound

This paper cites an unresolved cited work.

RationalMaps, a package for Macaulay2 Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:52:32.696472Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T13:52:32.380865Z digest=sha256:c61d153c6c52481244023012203632bf1f85a6dc08f17efba3ae33cc686a4b25

Observation 22fe1de9-8cbf-40a5-abea-61ae24d59f53 · outbound

This paper cites Eisenbud, A.

RationalMaps, a package for Macaulay2 Eisenbud, A

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:52:32.681116Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T13:52:32.385160Z digest=sha256:4b3ea6c148f28fddc043c9787cb0bca1320f7f255eb6d83109258af2ad434519

Observation 316e1423-e422-425f-a50a-c4303ec2e68e · outbound

This paper cites Eisenbud, A.

RationalMaps, a package for Macaulay2 Eisenbud, A

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:52:32.665479Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T13:52:32.389615Z digest=sha256:eb151c73ba7d3e08aadc1635283687ff67d5a0cc02eb7464a8cea89946b152a7

Observation b33a0854-3b41-4d3f-a2e1-690c0600946c · outbound

This paper cites an unresolved cited work.

RationalMaps, a package for Macaulay2 Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:52:32.649540Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T13:52:32.395211Z digest=sha256:560bbe19f7766df50e273c43271f316fe944a116e14d25dae1047cf6ce206385

Observation 385c06e4-d38f-4578-82da-2a499a1582f9 · outbound

This paper cites He and Y.

RationalMaps, a package for Macaulay2 He and Y

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:52:32.633832Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T13:52:32.400082Z digest=sha256:bdd3b23509750de23431ed728551dd58dbab98bf63d0cdf4048e6ba9ec610aaf

Observation c0f285ca-df5c-4fb6-9edc-567ce1f79717 · outbound

This paper cites Hulek, S.

RationalMaps, a package for Macaulay2 Hulek, S

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:52:32.617663Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T13:52:32.404975Z digest=sha256:e6b926f1cbd84b03c775915fbb835875f8cf031c525cb8fd4bde821a18ba0660

Observation 6964f08e-0cc3-4aad-8770-de0d023b8381 · outbound

This paper cites Martinova, M.

RationalMaps, a package for Macaulay2 Martinova, M

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:52:32.601378Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T13:52:32.409705Z digest=sha256:3655d954f97322b624f8b0a7ef51c68980434938a454e74582c0cd8ebda7f478

Observation d0c91659-55c1-41e7-abde-3bec8238abb8 · outbound

This paper cites Russo and A.

RationalMaps, a package for Macaulay2 Russo and A

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:52:32.583912Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T13:52:32.414454Z digest=sha256:366fd0f727c9c5e08499a57333b0370a25de8fde7e402cfde6161b5c9f7b0fcc

Observation fcda9e32-a6e0-4aba-9aac-44f0d7d6cdc8 · outbound

This paper cites an unresolved cited work.

RationalMaps, a package for Macaulay2 Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:52:32.568082Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T13:52:32.419766Z digest=sha256:18e44e3f2bd4deac10ab00dbab8876eed0ba46f7f60c17eafadfd21b9432e5fb

Observation 8e60ddc2-236f-43bb-9c3f-31a2803039e8 · outbound

This paper cites Simis : Two differential themes in characteristic zero, Topics in algebraic and noncommutative geometry ( L uminy/ A nnapolis, MD , 2001), Contemp.

RationalMaps, a package for Macaulay2 Simis : Two differential themes in characteristic zero, Topics in algebraic and noncommutative geometry ( L uminy/ A nnapolis, MD , 2001), Contemp

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:52:32.552157Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T13:52:32.424433Z digest=sha256:22d9f2aa6370cb3305cf1d12b9d988f91fde0a7617812141586b78cb263a1ca2

Observation e41c6e5b-e315-4165-bdee-f641d547dfa8 · outbound

This paper cites Simis : Cremona transformations and some related algebras, J.

RationalMaps, a package for Macaulay2 Simis : Cremona transformations and some related algebras, J

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:52:32.536089Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T13:52:32.429275Z digest=sha256:7b8076b2e3595e992af206468e9e3f7624586f09d8fea4309ab5eb0abc4db3f3

Observation bd6197c2-9c4d-41dd-8f3f-4dd233cc33c8 · outbound

This paper cites Staglian \`o : Cremona: Some computations for rational maps between projective varieties.

RationalMaps, a package for Macaulay2 Staglian \`o : Cremona: Some computations for rational maps between projective varieties

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:52:32.519140Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T13:52:32.435311Z digest=sha256:100ca273879c28838585a6e29ace2219d867e4bf9d4de8e70293b0a041dbb0fd

Observation d46b80f0-3a47-4512-aa5c-2828c45ab8da · outbound

This paper cites Staglian \`o : A Macaulay2 package for computations with rational maps , The Journal of Software for Algebra and Geometry 8 (2018).

RationalMaps, a package for Macaulay2 Staglian \`o : A Macaulay2 package for computations with rational maps , The Journal of Software for Algebra and Geometry 8 (2018)

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:52:32.502348Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T13:52:32.440175Z digest=sha256:3703de7f20d465cedba9b1b58c6fa4f5ab25cdfbe7491eda7c346d0166ef0de4

Observation 81d851db-bfd2-4063-82c1-739f6dc7223a · outbound

This paper cites write newline.

RationalMaps, a package for Macaulay2 write newline

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:52:32.485214Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T13:52:32.444772Z digest=sha256:29c5b3672336c5d67fdde266fdb14056e4a3fa097218d76b9dce0924dc745cb4

Pith citing papers

No inbound Pith citation observations are available.