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Paper Citation Record · LEDGER

When do Ten Points Lie on a Quadric Surface?

As of 13 August 2026, this Paper Citation Record lists 17 of 17 outbound references and 1 inbound Pith citation observation for arXiv:2412.05678.

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

pith.paper-citation-record.v1
2412.05678 v1

Coverage vector

measured 17 of 17 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T20:37:14.048053Z

measured 18 of 18 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-05-22T15:57:04.152486Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: arxiv_reference, observed 2026-05-22T16:01:46.207630Z

Reference resolution

17 of 17 outbound references displayed

  • verified exact0
  • verified fuzzy16
  • unresolved1
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 829fd823-e144-48f6-afcb-680f136b7250 · outbound

This paper cites Cayley factorization and the area principle.

When do Ten Points Lie on a Quadric Surface? Cayley factorization and the area principle

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T20:37:14.235513Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T20:37:13.990122Z digest=sha256:b81ec822a953680cf7e63ef265afd665e0c3f011cf35df647b8d9ac5bcd25a19

Observation 8d743c71-0569-42cf-b02a-d4f1dbc3253b · outbound

This paper cites Cancellation patte rns in automatic geometric theorem proving.

When do Ten Points Lie on a Quadric Surface? Cancellation patte rns in automatic geometric theorem proving

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T20:37:14.226030Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T20:37:13.994247Z digest=sha256:7fd2af750840ae42dc344228f6d805bac0196047b057379675c1d055f9841274

Observation feb8b009-b11d-45b5-8bf3-4e07a21deafb · outbound

This paper cites A Pascal’s theorem for ration al normal curves.

When do Ten Points Lie on a Quadric Surface? A Pascal’s theorem for ration al normal curves

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T20:37:14.216247Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T20:37:13.999078Z digest=sha256:38e983118a4bc7c4c5c0eb131228de3ac994756ad003ca1e8c54ce8882f58ddb

Observation 7d8d9cd9-a335-429b-a19b-0882ceaa1c83 · outbound

This paper cites Variations on pascal’s theorem, 202 4.

When do Ten Points Lie on a Quadric Surface? Variations on pascal’s theorem, 202 4

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T20:37:14.206304Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T20:37:14.002771Z digest=sha256:fd53434cfb5af606c7dbf1c13ac57eb5d57194dcdfaf68f289192c2998191f59

Observation 03c120c5-7b4a-4bef-8a3f-483108c80168 · outbound

This paper cites an unresolved cited work.

When do Ten Points Lie on a Quadric Surface? Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-11T20:37:14.196939Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T20:37:14.006212Z digest=sha256:9f6cbad035a301ceb171518633e513279e2fed417a2d532c4749902f1486abf4

Observation 62c4b0ae-8f4d-4e30-8730-7583a8d98751 · outbound

This paper cites Cayley-Bacharach theorems and conjectures.

When do Ten Points Lie on a Quadric Surface? Cayley-Bacharach theorems and conjectures

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T20:37:14.187072Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T20:37:14.010268Z digest=sha256:89d870729c65701200ee7cc176fb07312f4d63b5746c5ab42ae34ff76e332007

Observation 7404632a-facb-4e4e-b317-9b5c82915cb3 · outbound

This paper cites Incidences and tilings, 2023.

When do Ten Points Lie on a Quadric Surface? Incidences and tilings, 2023

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T20:37:14.177296Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T20:37:14.013938Z digest=sha256:f8a4358bd91cec389599e7ffb1a8b2af2c3c6237434899cfe64778433d01f86c

Observation 0a0bbec4-67e2-40c6-bf75-62cc62ffd949 · outbound

This paper cites Extension theory , volume 19 of History of Mathematics.

When do Ten Points Lie on a Quadric Surface? Extension theory , volume 19 of History of Mathematics

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T20:37:14.167215Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T20:37:14.017734Z digest=sha256:27fed4f42fe6baf4cc86ebc22bf438f0ac2a3f617181e01e774ef80fb865b0f9

Observation bc44865d-99bc-48c7-96d5-3e968f47326f · outbound

This paper cites Grayson and Michael E.

When do Ten Points Lie on a Quadric Surface? Grayson and Michael E

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T20:37:14.158113Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T20:37:14.021056Z digest=sha256:4ed2d2ec5b379f1a417cd9b11efba1cf1bbf23e02ff75a7afb08a23f22633319

Observation 350662c4-33a4-4371-a9e8-0a8c2cb77b26 · outbound

This paper cites Meditations on Ceva’s theorem.

When do Ten Points Lie on a Quadric Surface? Meditations on Ceva’s theorem

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T20:37:14.148196Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T20:37:14.024505Z digest=sha256:a141906909483ab5cb5a3a0269eaa587d7e8eec38eff63f8e76302f99e967466

Observation 38b9f771-d8f8-4846-b45f-7da558a8d7f3 · outbound

This paper cites Springer, Heidelberg, 2011.

When do Ten Points Lie on a Quadric Surface? Springer, Heidelberg, 2011

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T20:37:14.138830Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T20:37:14.027885Z digest=sha256:4aeb99976f690955bb7fbcfced9f5ec1276f7af8ab8eafa9670a516a73e1437d

Observation 5be376f7-afeb-4562-ad7f-a846681e191d · outbound

This paper cites Algorithms in invariant theory.

When do Ten Points Lie on a Quadric Surface? Algorithms in invariant theory

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T20:37:14.128805Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T20:37:14.031116Z digest=sha256:50f542c27e1f59c18644fed55c53565ba518ac70936a1b6f07230ada3bb58e9a

Observation befda583-1991-4cc0-aec7-e754d86650b4 · outbound

This paper cites On the synthetic factoriz ation of projectively invariant polynomials.

When do Ten Points Lie on a Quadric Surface? On the synthetic factoriz ation of projectively invariant polynomials

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T20:37:14.118357Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T20:37:14.034746Z digest=sha256:8fd081fe235cbf11139bd1c1f21dff4a779cbd0b4a74d3135aa4236aad746c14

Observation c03a2256-56dc-40d0-a9eb-6c83b41677e2 · outbound

This paper cites What grassmann knew: Incidence theorems on cub ics, 2023.

When do Ten Points Lie on a Quadric Surface? What grassmann knew: Incidence theorems on cub ics, 2023

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T20:37:14.108189Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T20:37:14.038177Z digest=sha256:28f277105f585d736222c460e42859717d841456e174a0c65ab4fdb0161a1ac3

Observation 8e8eac43-ceb3-4bcc-8620-603b60baa1c2 · outbound

This paper cites Ten points on a cubic.

When do Ten Points Lie on a Quadric Surface? Ten points on a cubic

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T20:37:14.098212Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T20:37:14.041334Z digest=sha256:5ff0b40bfdde7f83e51e17e93914ec1c883b6a9cea35c01bc457ea3bd360b1e1

Observation cf2c4270-2fb6-4cd6-acdd-cd9b9faa7efe · outbound

This paper cites Turnbull and Alfred Young.

When do Ten Points Lie on a Quadric Surface? Turnbull and Alfred Young

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T20:37:14.088557Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T20:37:14.044500Z digest=sha256:897d368dc5e851d570be2ac89015707715d3781423d77ec442bcac519b177211

Observation 4caa12ba-2baf-47db-b38c-a55a73df0027 · outbound

This paper cites Implementation of the straightening algorithm of clas sical invariant theory.

When do Ten Points Lie on a Quadric Surface? Implementation of the straightening algorithm of clas sical invariant theory

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T20:37:14.078475Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T20:37:14.048053Z digest=sha256:325be38615e803a2418c00c59e59bd6db6ac8aa26dfd1fd44a00b69033094536

Pith citing papers

Observation 5d1c9113-fc6b-4c81-acac-8e1ceed94536 · inbound

The Segre Determinant cites this paper.

The Segre Determinant When do Ten Points Lie on a Quadric Surface?

Reference 17

Resolution
verified exact
arxiv_id, observed 2026-05-22T16:01:46.210730Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-05-22T15:57:04.152486Z digest=sha256:0d43e72202898b8f6b6d4801e2157ca7ec6457c5ec7c04217ac777bbc12e5fa1