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Paper Citation Record · LEDGER

On primes represented by quartic polynomials on average

As of 17 August 2026, this Paper Citation Record lists 20 of 20 outbound references and 0 inbound Pith citation observations for arXiv:1908.09439.

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

pith.paper-citation-record.v1
1908.09439 v1

Coverage vector

measured 20 of 20 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T11:23:12.359377Z

measured 20 of 20 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

20 of 20 outbound references displayed

  • verified exact0
  • verified fuzzy9
  • unresolved11
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation cc7c1531-fe9e-4367-aa21-a256f2974e2c · outbound

This paper cites Baier, L.

On primes represented by quartic polynomials on average Baier, L

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:23:12.598152Z

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=2026-08-14T11:23:12.289543Z digest=sha256:0a6624da4d39ad415f549252a29b3656cce4db6a2208160811d7d9cfc3ea40a3

Observation c34febf8-9a77-4caf-bad2-b0da7ddbfdc9 · outbound

This paper cites Baier, L.

On primes represented by quartic polynomials on average Baier, L

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:23:12.586487Z

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=2026-08-14T11:23:12.294137Z digest=sha256:9b85fe7c2a67d1d288609cc302203d02b3e3a80d1bee3cb9ed7b67968791293b

Observation 8cc41dab-f7a4-4c66-b194-738f5a8086c1 · outbound

This paper cites Baier, L.

On primes represented by quartic polynomials on average Baier, L

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:23:12.575506Z

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=2026-08-14T11:23:12.298096Z digest=sha256:a4dc9844f78e933689ae32da1e24433c6d05944772d4052104c7590ab0f52a6a

Observation 3cf7106d-ca1c-4658-b588-18b0bfd8b5f7 · outbound

This paper cites an unresolved cited work.

On primes represented by quartic polynomials on average Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:23:12.563885Z

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=2026-08-14T11:23:12.302004Z digest=sha256:890b21904e6b6383603c66293d79ab6a7a75c03b679b34156c2314be144456e2

Observation decdcf26-8461-4011-acf5-7de8319769a3 · outbound

This paper cites Davenport, Multiplicative number theory.

On primes represented by quartic polynomials on average Davenport, Multiplicative number theory

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:23:12.553083Z

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=2026-08-14T11:23:12.305833Z digest=sha256:59065cc93d1dde3ada855e681b4d161d753ec705fba903f6220c565f36da0915

Observation e6368b65-16f8-48f7-a1d6-99240a15d8de · outbound

This paper cites an unresolved cited work.

On primes represented by quartic polynomials on average Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:23:12.541954Z

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=2026-08-14T11:23:12.309838Z digest=sha256:4f411ecc47970963f5f848051a3b2f9e05ba92d635bebcf35a4b225bcdb80c6d

Observation b6096498-2393-441e-b6fa-26b040a6d4a9 · outbound

This paper cites an unresolved cited work.

On primes represented by quartic polynomials on average Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:23:12.531093Z

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=2026-08-14T11:23:12.313717Z digest=sha256:18b12fa280e86e3ae9802b693f842e684c7451d1d2e6b249c9c9ebc1a5483b20

Observation 9728432a-8ee4-47a8-865d-64ac14e7938f · outbound

This paper cites an unresolved cited work.

On primes represented by quartic polynomials on average Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:23:12.520602Z

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=2026-08-14T11:23:12.317331Z digest=sha256:a5405343132c82c2d218ce0086fd4c509b719b3693d07dd76aad176e39778476

Observation 2e060e7d-37e6-459d-9468-c8b411ab112f · outbound

This paper cites an unresolved cited work.

On primes represented by quartic polynomials on average Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:23:12.510138Z

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=2026-08-14T11:23:12.320765Z digest=sha256:7c5708eb3f14bbd2e4d1626eb5a4320eededc8ef82da9033d2e758b75a4688e2

Observation 22e2ec27-a3b3-4f51-9832-62872062a294 · outbound

This paper cites an unresolved cited work.

On primes represented by quartic polynomials on average Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:23:12.499582Z

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=2026-08-14T11:23:12.324087Z digest=sha256:7feb18b0072d4fe20b8ce172b9ce72dce7392e2547f4e67edb6965287a2f4779

Observation 2f409cb7-dd4c-4064-a112-3b763080cb00 · outbound

This paper cites an unresolved cited work.

On primes represented by quartic polynomials on average Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:23:12.488568Z

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=2026-08-14T11:23:12.327394Z digest=sha256:10bc350e5a06798bfccc4174c2f5eb3f56fdaf4740d13b22fb1e8090ba2e0580

Observation 3f3df36d-3c1b-4ad0-856e-20dc5c8ae644 · outbound

This paper cites an unresolved cited work.

On primes represented by quartic polynomials on average Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:23:12.478316Z

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=2026-08-14T11:23:12.330801Z digest=sha256:024942f9d0b2c873bd0a0f5434dfe83349ef25ae0844572e65425ff2fd4abd70

Observation 95d693a0-939e-411d-b5d9-5a9a05109d71 · outbound

This paper cites an unresolved cited work.

On primes represented by quartic polynomials on average Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:23:12.467700Z

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=2026-08-14T11:23:12.333987Z digest=sha256:2641e539e27a86c3629795221609bf667dd8f3c919b6a2fc8a35c9c4d5a758e0

Observation 8869cfb9-80fe-4466-8c10-917ac68c4681 · outbound

This paper cites an unresolved cited work.

On primes represented by quartic polynomials on average Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:23:12.456991Z

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=2026-08-14T11:23:12.337484Z digest=sha256:0a7089d5cff491b8757d3ec60c22ea17f0d1fdd6497b492d967b52ea0b5cb993

Observation 49285530-9f7e-4ae9-b9d4-c9597f77adb3 · outbound

This paper cites Ireland, M.

On primes represented by quartic polynomials on average Ireland, M

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:23:12.445242Z

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=2026-08-14T11:23:12.340817Z digest=sha256:c42462c0fb6476b6f180bf80add7a28793f93cfdef7bd8364850289139c73091

Observation 8a78a9fd-7333-43e8-8d68-b0d5605b7bb8 · outbound

This paper cites Iwaniec, The half dimensional sieve.

On primes represented by quartic polynomials on average Iwaniec, The half dimensional sieve

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:23:12.433942Z

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=2026-08-14T11:23:12.344561Z digest=sha256:d62786c8498289ee5065f3eb05c7f928a6099da652dbea8f01d0c6d1b201068d

Observation 1af39c0a-5f65-4124-9207-2fc91493644d · outbound

This paper cites Iwaniec, E.

On primes represented by quartic polynomials on average Iwaniec, E

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:23:12.422736Z

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=2026-08-14T11:23:12.348923Z digest=sha256:b15992153210d29f8d9306a2973db07cfa70da6a31e5cf8c72453923f3c2962b

Observation a7ace6d2-f0b3-4d2f-a2c8-d791527682eb · outbound

This paper cites Kuhn, ¨Uber die Primteiler eines Polynomsw.

On primes represented by quartic polynomials on average Kuhn, ¨Uber die Primteiler eines Polynomsw

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:23:12.411223Z

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=2026-08-14T11:23:12.352325Z digest=sha256:4832c7f71cdb0c1d7e1125df57b8e6ce0b7f90c9c5614bb49ca44438878cef33

Observation 72ae81b3-5767-4c93-8b3f-fc31ae0b2a47 · outbound

This paper cites an unresolved cited work.

On primes represented by quartic polynomials on average Unresolved cited work

Reference 19

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:23:12.400305Z

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=2026-08-14T11:23:12.355765Z digest=sha256:70dd3f2b3bbe044a467526870e68b7d7195c4735d1f38cdb61ad96199ebf0f70

Observation 2d4de5db-4bac-4fd2-97c9-041881f5bef1 · outbound

This paper cites Mikawa, On prime twins.

On primes represented by quartic polynomials on average Mikawa, On prime twins

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:23:12.389528Z

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=2026-08-14T11:23:12.359377Z digest=sha256:e9674897c86092d3539c7661300162587700ad71a20e47f7f0b376e1f62d1966

Pith citing papers

No inbound Pith citation observations are available.