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Paper Citation Record · LEDGER

An Unconditional Improvement to the Running Time of the Quadratic Frobenius Test

As of 16 August 2026, this Paper Citation Record lists 13 of 13 outbound references and 0 inbound Pith citation observations for arXiv:1908.02394.

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

pith.paper-citation-record.v1
1908.02394 v2

Coverage vector

measured 13 of 13 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T14:59:06.191152Z

measured 13 of 13 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

13 of 13 outbound references displayed

  • verified exact0
  • verified fuzzy8
  • unresolved5
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 87d3e1d2-d068-48dd-a470-a62bd7fea9b8 · outbound

This paper cites an unresolved cited work.

An Unconditional Improvement to the Running Time of the Quadratic Frobenius Test Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:59:06.631901Z

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=pdf_text observed=2026-08-14T14:59:06.075788Z digest=sha256:9bcabe3744a63c677a8b3c67ffdce89f9fb060a356283fb1b552e2e66c445a37

Observation 16090430-b114-4eba-b80d-e365693a3889 · outbound

This paper cites Baillie and S.

An Unconditional Improvement to the Running Time of the Quadratic Frobenius Test Baillie and S

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:59:06.603707Z

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=pdf_text observed=2026-08-14T14:59:06.083792Z digest=sha256:31ff62764f35f44df4a1e9c941fc2dce2e62a16f2252d476e42e21d6e770d990

Observation 448f6e8f-daae-4fdf-bc76-83c9e836f772 · outbound

This paper cites an unresolved cited work.

An Unconditional Improvement to the Running Time of the Quadratic Frobenius Test Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:59:06.579869Z

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=pdf_text observed=2026-08-14T14:59:06.092151Z digest=sha256:be9b6251521968ca1b9cb4b3ddd7482837c1830386cec5a6acb0ee7d8eb9f90b

Observation 675cda3b-8b9f-4aed-9729-54825c03cf71 · outbound

This paper cites an unresolved cited work.

An Unconditional Improvement to the Running Time of the Quadratic Frobenius Test Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:59:06.550711Z

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=pdf_text observed=2026-08-14T14:59:06.099419Z digest=sha256:20c5745caa3b16583a92d9adf2d2fe9f7a6ffa0b43f785008399c9dc882dbbb1

Observation 5721274b-842f-4032-9b83-4976f1583db4 · outbound

This paper cites an unresolved cited work.

An Unconditional Improvement to the Running Time of the Quadratic Frobenius Test Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:59:06.525401Z

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=pdf_text observed=2026-08-14T14:59:06.105249Z digest=sha256:f07fe2d7e3d108ccc116da0939ac371f37eab0e6dee2b45b056886787078a485

Observation 35abfc55-f3ea-4187-b1d8-09458a19c9a6 · outbound

This paper cites Grantham, A probable prime test with high confidence, J.

An Unconditional Improvement to the Running Time of the Quadratic Frobenius Test Grantham, A probable prime test with high confidence, J

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:59:06.501397Z

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=pdf_text observed=2026-08-14T14:59:06.116318Z digest=sha256:ab7d5ae21aaa1a29431f782fb38ded516fb4a878b5673be70e019e06b84f6bac

Observation d29cc13a-203c-4296-81ac-18cc5c20b0ee · outbound

This paper cites Granville and K.

An Unconditional Improvement to the Running Time of the Quadratic Frobenius Test Granville and K

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:59:06.467457Z

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=pdf_text observed=2026-08-14T14:59:06.125729Z digest=sha256:fd44436cb5b5e21a2a89ca550320cf86ee41439b61c765e8fcb11e4a7ad5ea7c

Observation 8e6b3f07-ba48-4a0b-b569-e1038a9ef94f · outbound

This paper cites Monier, Evaluation and comparison of two efficient probabilistic p rimal- ity testing algorithms, Theoret.

An Unconditional Improvement to the Running Time of the Quadratic Frobenius Test Monier, Evaluation and comparison of two efficient probabilistic p rimal- ity testing algorithms, Theoret

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:59:06.438169Z

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=pdf_text observed=2026-08-14T14:59:06.136405Z digest=sha256:6187d6cfa9599e363c7f4830039bd691a2c1c323bcc4f3e5900df5b18875ccb9

Observation 4d4a56ac-7eef-4e55-9cef-711be92e275c · outbound

This paper cites M¨ uller, A probable prime test with very high confidence for n ≡ 1 mod 4, in Advances in cryptology—ASIACRYPT 2001 (Gold Coast) , Lecture Notes in Comput.

An Unconditional Improvement to the Running Time of the Quadratic Frobenius Test M¨ uller, A probable prime test with very high confidence for n ≡ 1 mod 4, in Advances in cryptology—ASIACRYPT 2001 (Gold Coast) , Lecture Notes in Comput

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:59:06.406046Z

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=pdf_text observed=2026-08-14T14:59:06.152229Z digest=sha256:b352fc1a4da66d9b7e1c41b0e56efd7d0065564bae62f492aee30c9e99f24047

Observation c9eccec5-3d96-4414-b220-9452d37163f2 · outbound

This paper cites Cryptology 16 (2003) 117–139.

An Unconditional Improvement to the Running Time of the Quadratic Frobenius Test Cryptology 16 (2003) 117–139

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:59:06.368558Z

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=pdf_text observed=2026-08-14T14:59:06.166455Z digest=sha256:7f3b89433fdc854f554ad8ac85a36c64a76e3e5889caf3275bb39bc7ca2eca0a

Observation 1c85b0bc-6fd3-47ce-a16b-190197174643 · outbound

This paper cites Pomerance, J.

An Unconditional Improvement to the Running Time of the Quadratic Frobenius Test Pomerance, J

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:59:06.328344Z

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=pdf_text observed=2026-08-14T14:59:06.174031Z digest=sha256:12139ff0585b89438d3a662313e0b1688b30d66113cd0c11990b5ca1873f3a29

Observation 1fad5cdc-16c5-4093-ad0e-96cf3f80e2c1 · outbound

This paper cites an unresolved cited work.

An Unconditional Improvement to the Running Time of the Quadratic Frobenius Test Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:59:06.294408Z

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=pdf_text observed=2026-08-14T14:59:06.182962Z digest=sha256:35640073bb70fe0f68808229bfbc4a0224bf5d74c147b740a8f83126ff8cb2ab

Observation 6d588566-fc33-4027-9213-3f97aa4b31f8 · outbound

This paper cites Zhang, A one-parameter quadratic-base version of the Ba illie-PSW prob- able prime test, Math.

An Unconditional Improvement to the Running Time of the Quadratic Frobenius Test Zhang, A one-parameter quadratic-base version of the Ba illie-PSW prob- able prime test, Math

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:59:06.263361Z

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=pdf_text observed=2026-08-14T14:59:06.191152Z digest=sha256:57ee8bc77a4fa1f25e12cc499ba784cdcace037690e012bc976ce6319a38289f

Pith citing papers

No inbound Pith citation observations are available.