Pith. sign in

Paper Citation Record · LEDGER

When do Ten Points Lie on a Quadric Surface?

As of 12 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 2026-08-11T06:34:44.6726+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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-11T20:37:13.990122Z digest=sha256:cad1a2faf298fb9e95169476fcff2ddfce63ccecfc1f84197fd0074b52517eca

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-11T20:37:13.994247Z digest=sha256:202f20d0b7dda7cfd01026b2f35cb9b25b372ba54a370806c148b092d26b0cdb

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-11T20:37:13.999078Z digest=sha256:44db9cd65327290aa1ecf4c37dd9ef3572dfdeb7e6640ca0ba83811b1fde7dcf

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-11T20:37:14.002771Z digest=sha256:5ebfeaf68f832325a5598ac48f129aaf69b4659240f4fa634df4636626fc6605

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-11T20:37:14.006212Z digest=sha256:529919017326ae33509d00774531d39e7282d2657381e75987990b7be5b0933d

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-11T20:37:14.010268Z digest=sha256:78387b15735e936cede09a11ccf5b1b160f88924d2714c7fac3cb466241d9903

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-11T20:37:14.013938Z digest=sha256:4cafe63c2cc6e236f35f8e37a3b115923bde7025cb00c1926901f88e4396a781

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-11T20:37:14.017734Z digest=sha256:5763691d4d943c2ed4b815772fa10ea797005b691f2064c7534e2a3c4d5b7122

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-11T20:37:14.021056Z digest=sha256:d432e9134f760a5f2b5df6746cf77f5d8700ac5c4d4b856069f16d3ebf18db31

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-11T20:37:14.024505Z digest=sha256:95aae80e65390ebf9877b1112852e0033ab763728925ee499284539a43096dab

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-11T20:37:14.027885Z digest=sha256:cdb97346e751a2877e9195d51b26d6df8b0796e74673e3e2e72f771b78c2b179

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-11T20:37:14.031116Z digest=sha256:8ba07b1d669e4bb3a18931b20a187639852f1ad8ada1a00d32a2ac6f0630e9ae

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-11T20:37:14.034746Z digest=sha256:f93cf946d8c750c47d427a6eb578132f77dcd6c9413021a92be36250f4f0191a

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-11T20:37:14.038177Z digest=sha256:30afa30e6475946b933ee16f34b0bee95831e4309f9e7bcaeb9a8acddae6d054

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-11T20:37:14.041334Z digest=sha256:bd0dd006a64e24bae9159d9ada4223af24076d728047cb51713770fa237257ec

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-11T20:37:14.044500Z digest=sha256:e53c851ad99538fdca7ead565b98c03a58e9e710c6d7efa277eb3e6e2395815d

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-11T20:37:14.048053Z digest=sha256:4be7cbc2be05897f513ed8c412f83a18a8a79bb89e8f30c3c72b4c9a865d1af7

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-05-22T15:57:04.152486Z digest=sha256:60240656963a7baab5f6549441cae44df328e9ee14993f7854425356e87bfbf8