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Paper Citation Record · LEDGER

Free Bertini's theorem and applications

As of 16 August 2026, this Paper Citation Record lists 22 of 22 outbound references and 0 inbound Pith citation observations for arXiv:1908.08948.

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

pith.paper-citation-record.v1
1908.08948 v1

Coverage vector

measured 22 of 22 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T11:38:20.556585Z

measured 22 of 22 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

22 of 22 outbound references displayed

  • verified exact2
  • verified fuzzy9
  • unresolved11
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 5cf71cbe-2259-47d2-ab79-33d6ea60ecda · outbound

This paper cites Balasubramanian, S.

Free Bertini's theorem and applications Balasubramanian, S

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:38:20.824392Z

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=2026-08-14T11:38:20.475998Z digest=sha256:e803f73f1ba9113cdcc8271780015c15ee0899ca2eb405c9a2f66923e820f645

Observation 38607a40-715d-40dd-bbe2-edda89680954 · outbound

This paper cites an unresolved cited work.

Free Bertini's theorem and applications Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:38:20.814465Z

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=2026-08-14T11:38:20.480704Z digest=sha256:c9243c23e1cf97a5ecbddfc4970650d689f1795105f767ff9d4e115f8f2da9fc

Observation 43bd1db6-e577-4731-b7c3-ed89107efdfd · outbound

This paper cites Bodin, P.

Free Bertini's theorem and applications Bodin, P

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:38:20.804405Z

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=2026-08-14T11:38:20.484604Z digest=sha256:3e3af532ec14f0c5eb8efa28805abbc7ece95a3d592d867f1efdc0f191a8f088

Observation ab115916-e50f-4303-a136-45071f1689a5 · outbound

This paper cites Blekherman, P.

Free Bertini's theorem and applications Blekherman, P

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:38:20.794266Z

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=2026-08-14T11:38:20.488508Z digest=sha256:9c3a82ab5dc196f08b0ecd16e18d202b65ecc86011197494ac36d21b642b65c4

Observation 0b236dd9-30e9-48e3-a529-dd4d02ab7086 · outbound

This paper cites an unresolved cited work.

Free Bertini's theorem and applications Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:38:20.783771Z

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=2026-08-14T11:38:20.492829Z digest=sha256:8f888d53d4bfa072bb9cd57c81ddb029204f77982c4118e18f606c0b645bd1de

Observation c11c50ee-af4c-4f0b-9722-22c4f00bc4b5 · outbound

This paper cites an unresolved cited work.

Free Bertini's theorem and applications Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:38:20.773241Z

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=2026-08-14T11:38:20.496838Z digest=sha256:69be82c6dacde692420b93957fe4283c2c916735ac44922e78842ea8f62bcb02

Observation 13f1ed7d-864a-4899-95a3-de5e4073427d · outbound

This paper cites an unresolved cited work.

Free Bertini's theorem and applications Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:38:20.762664Z

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=2026-08-14T11:38:20.500723Z digest=sha256:bbcdac9ffe614428b538113eeccb8d0f6090d1cdba9e7a08d30b9c7c65e8efb7

Observation 1a3283fd-e8fc-4c5d-a97a-edf427ee6fef · outbound

This paper cites an unresolved cited work.

Free Bertini's theorem and applications Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:38:20.752674Z

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=2026-08-14T11:38:20.504428Z digest=sha256:b471801101dc26e180df3a4f3eb604bee1cfac40cfc9e522eb63cfb2c30f2b7e

Observation 42f966fc-c842-4bec-b4a0-e76a43aa7df5 · outbound

This paper cites an unresolved cited work.

Free Bertini's theorem and applications Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:38:20.742465Z

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=2026-08-14T11:38:20.508141Z digest=sha256:50033a3a244886b4203f42c64eb54b1d9095c762f3ace04d9c4455ddee3877bf

Observation a15c399d-3f9a-461a-99ca-7cc273eddade · outbound

This paper cites Noncommutative polynomials describing convex sets.

Free Bertini's theorem and applications Noncommutative polynomials describing convex sets

Reference 10

Resolution
verified exact
local_arxiv, observed 2026-08-14T11:38:20.608979Z

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=2026-08-14T11:38:20.511703Z digest=sha256:725906fd42f62df9b216067ba33c9f9430f1d8d903319658cb3948aa9c446492

Observation 2e2137a4-c244-46ab-9d97-b335a5a71378 · outbound

This paper cites Helton, I.

Free Bertini's theorem and applications Helton, I

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:38:20.731744Z

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=2026-08-14T11:38:20.515830Z digest=sha256:b1a17ed7f198d3ee96162797a53ff2b4dbdac9f3e74fe70d6da633da7413f54a

Observation b1ffa18c-8e3e-4a4a-8dd3-8aa90e105a7c · outbound

This paper cites Factorization of noncommutative polynomials and Nullstellens\"atze for the free algebra.

Free Bertini's theorem and applications Factorization of noncommutative polynomials and Nullstellens\"atze for the free algebra

Reference 12

Resolution
verified exact
local_arxiv, observed 2026-08-14T11:38:20.592530Z

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=2026-08-14T11:38:20.519563Z digest=sha256:12c1ce66f3f68a710db85d55cbd4b4790dfabfa8862156358224ec9682186e9a

Observation fc673d97-8402-4432-bec2-8b2ad207f82c · outbound

This paper cites Helton, S.

Free Bertini's theorem and applications Helton, S

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:38:20.720718Z

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=2026-08-14T11:38:20.524742Z digest=sha256:a54d601df848b67f6d44fafbda013cadd767148a3be2d79f4d317e018b829a0d

Observation 9898a24a-4258-4b27-84c9-08691a81e463 · outbound

This paper cites an unresolved cited work.

Free Bertini's theorem and applications Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:38:20.709572Z

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=2026-08-14T11:38:20.528180Z digest=sha256:3e07c741fb387a2e633ace26186b0d65b20d6aa572e60873b4dc1893d2643f2a

Observation 9a798034-475b-4eb2-8974-5c4f5c9a36c8 · outbound

This paper cites an unresolved cited work.

Free Bertini's theorem and applications Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:38:20.699389Z

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=2026-08-14T11:38:20.531957Z digest=sha256:9a00c1d588e8c56a1dc7342782ebe9c106044ae758eb86424161aadb3e255a77

Observation 18f29a32-9e75-4686-bf82-da9da3646500 · outbound

This paper cites an unresolved cited work.

Free Bertini's theorem and applications Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:38:20.688164Z

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=2026-08-14T11:38:20.535414Z digest=sha256:aeec5267e45565a6c513413c30d6d979c834b6d21f19c7d5d338ef60ed2bbcdd

Observation bdbd7ccb-6d80-41c1-9dc3-6136e4949335 · outbound

This paper cites an unresolved cited work.

Free Bertini's theorem and applications Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:38:20.677545Z

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=2026-08-14T11:38:20.539013Z digest=sha256:81c38f2ebdd5e3212d311f50dec2e6549069ca7375d7c7472629e8ffa93c5abe

Observation 3745eb21-7e45-44a5-a2c8-931920c906ec · outbound

This paper cites Marshall: Positive polynomials and sums of squares , Mathematical Surveys and Monographs 146, American Mathematical Society, 2008.

Free Bertini's theorem and applications Marshall: Positive polynomials and sums of squares , Mathematical Surveys and Monographs 146, American Mathematical Society, 2008

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:38:20.666898Z

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=2026-08-14T11:38:20.542510Z digest=sha256:5fa98b78a5c694322acc20b8c565a487d13cf68226bee58f33d8b3cd5e6b6d0b

Observation 567160c9-88e2-4de1-9fec-325645e4d290 · outbound

This paper cites McCullough: Factorization of operator-valued polynomials in several non-commuting variables , Linear Algebra Appl.

Free Bertini's theorem and applications McCullough: Factorization of operator-valued polynomials in several non-commuting variables , Linear Algebra Appl

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:38:20.655112Z

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=2026-08-14T11:38:20.546044Z digest=sha256:eb0a17a142d5a252bfd01c6ac7701884248db80b0677434b67c4d75d772fb8ec

Observation cf46a4b5-5f0a-483e-8c76-ee176169ae6f · outbound

This paper cites an unresolved cited work.

Free Bertini's theorem and applications Unresolved cited work

Reference 20

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:38:20.643840Z

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=2026-08-14T11:38:20.549426Z digest=sha256:6cfa1c11b91190ca6548e5af2396a5a9bdd94c4c8349e7e4a3e147100daea47e

Observation 88867a02-bf24-4338-b21a-986a8a175bd6 · outbound

This paper cites Schinzel: Polynomials with special regard to reducibility , Encyclopedia of Mathematics and its Applications 77, Cambridge University Press, Cambridge, 2000.

Free Bertini's theorem and applications Schinzel: Polynomials with special regard to reducibility , Encyclopedia of Mathematics and its Applications 77, Cambridge University Press, Cambridge, 2000

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:38:20.632589Z

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=2026-08-14T11:38:20.553163Z digest=sha256:67f56e50507c4d783b03ecaeb6ef4630ad0e12d674a54d7beed7143c4a13450a

Observation ef424b10-9ce3-4304-8fbb-c206344b99e8 · outbound

This paper cites Stein: The total reducibility order of a polynomial in two variables , Israel J.

Free Bertini's theorem and applications Stein: The total reducibility order of a polynomial in two variables , Israel J

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:38:20.621250Z

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=2026-08-14T11:38:20.556585Z digest=sha256:e93cdc471390c60ba673e7b639cae00b09a5051acd22a780bab9f2d18572e5ca

Pith citing papers

No inbound Pith citation observations are available.