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Paper Citation Record · LEDGER

Symmetric primes revisited

As of 16 August 2026, this Paper Citation Record lists 14 of 14 outbound references and 0 inbound Pith citation observations for arXiv:1908.06161.

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

pith.paper-citation-record.v1
1908.06161 v2

Coverage vector

measured 14 of 14 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T13:04:27.973126Z

measured 14 of 14 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

14 of 14 outbound references displayed

  • verified exact0
  • verified fuzzy6
  • unresolved8
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 04157206-4566-4415-9532-a8244cce6d55 · outbound

This paper cites an unresolved cited work.

Symmetric primes revisited Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:04:28.637428Z

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=2026-08-14T13:04:27.840336Z digest=sha256:3e8add6fccf548aeae616644d759a9427041fe2a3b9d9b00f3dac27c1497839d

Observation 752a6154-94bf-4fd9-86fb-67971b146ace · outbound

This paper cites an unresolved cited work.

Symmetric primes revisited Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:04:28.601857Z

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=2026-08-14T13:04:27.851190Z digest=sha256:9ed3e796b169e3081ba5d05a4283bb9113024738f39042ff4ca2112ce7127970

Observation fe5e41bd-3677-43ba-98cf-484f33df534e · outbound

This paper cites Chow and C.

Symmetric primes revisited Chow and C

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:04:28.547989Z

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=2026-08-14T13:04:27.859528Z digest=sha256:5fc6cb14426bc577f6f9e03fa2b18830aa0d08ed7e3e7998aaea263ddb6f22f6

Observation fd66f1d3-c999-4b60-b0b9-ef9ac041e8d7 · outbound

This paper cites Fletcher, W.

Symmetric primes revisited Fletcher, W

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:04:28.505600Z

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=2026-08-14T13:04:27.874978Z digest=sha256:44b4925db585ec65804f5bb85a6e8156bc1f908e4463b838539ee58e84fc7b13

Observation fe0638a4-8ec1-465d-affb-26ceb8da123d · outbound

This paper cites Ford, The distribution of integers with a divisor in a gi ven interval.

Symmetric primes revisited Ford, The distribution of integers with a divisor in a gi ven interval

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:04:28.471231Z

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=2026-08-14T13:04:27.888272Z digest=sha256:fb9d13ae5db4b478b079d0abbfb1b0f428a5cd837e74ec62398ac0fe008c34be

Observation 0c675b64-face-4165-bbce-acadc7f55157 · outbound

This paper cites Halberstam and H.-E.

Symmetric primes revisited Halberstam and H.-E

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:04:28.420667Z

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=2026-08-14T13:04:27.894007Z digest=sha256:d59eef9ee7f7f21c9a00dd8cc99009d9552b48e693e3db23be336f9ce4ef4cee

Observation 57ce0615-f6b2-4490-82e1-6ddab93228ff · outbound

This paper cites an unresolved cited work.

Symmetric primes revisited Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:04:28.384019Z

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=2026-08-14T13:04:27.902134Z digest=sha256:ed810303de2e3434b57af73b475d6eac6000d2e8792a37bfc279606ba803d14d

Observation 664a3717-18bc-4060-a306-15e137de0020 · outbound

This paper cites an unresolved cited work.

Symmetric primes revisited Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:04:28.344017Z

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=2026-08-14T13:04:27.909560Z digest=sha256:4508eedd3a77f4c333ba9990851bc9df64a74b45bae7dfe44005e7fa29315e0c

Observation f2d67dc6-942a-44dc-a703-78f2a1abebb8 · outbound

This paper cites an unresolved cited work.

Symmetric primes revisited Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:04:28.308653Z

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=2026-08-14T13:04:27.916187Z digest=sha256:fa1d6c52256f927f514ad04970a2677940c59436651b9087636869854a240ad1

Observation 3a0f91a6-5f8b-4959-9e75-c375aaab1ad2 · outbound

This paper cites Consecutive almo st-primes.

Symmetric primes revisited Consecutive almo st-primes

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:04:28.248534Z

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=2026-08-14T13:04:27.931213Z digest=sha256:b7bc6ecba091c6a1a664f49dc65925e2731e30c38467e6c3610afa2d4d43834c

Observation 86073a7a-cd43-47cc-8af4-5cf6909a2a70 · outbound

This paper cites Maynard, Dense clusters of primes in subsets, Compositio Math.

Symmetric primes revisited Maynard, Dense clusters of primes in subsets, Compositio Math

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:04:28.188031Z

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=2026-08-14T13:04:27.945067Z digest=sha256:533874a110b0ced84392257f327705c11398bd7d9d75386b5c0310db73959cce

Observation 8cb2268a-be44-469a-a6d8-5dd07afa3237 · outbound

This paper cites an unresolved cited work.

Symmetric primes revisited Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:04:28.147456Z

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=2026-08-14T13:04:27.953962Z digest=sha256:fabb88c589cc25d6448a46425be641e8344fc16f28a4abf45238fc35b9069928

Observation d4aadf34-7a98-4500-b3c6-9fb95367a399 · outbound

This paper cites an unresolved cited work.

Symmetric primes revisited Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:04:28.106585Z

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=2026-08-14T13:04:27.962173Z digest=sha256:93da918619a6a2cde24b2c692fb2ba3c5cdee4809bd04949b7645d1487e48d10

Observation 7a05d0c2-57b3-45ae-be8c-d8684e134913 · outbound

This paper cites an unresolved cited work.

Symmetric primes revisited Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:04:28.067900Z

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=2026-08-14T13:04:27.973126Z digest=sha256:7270c505ae424650730b9daf03be344b218128c478e7a60dbd78f2f6de55b62b

Pith citing papers

No inbound Pith citation observations are available.