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Paper Citation Record · LEDGER

Sierpinski's Hypothesis H1

As of 11 August 2026, this Paper Citation Record lists 10 of 10 outbound references and 0 inbound Pith citation observations for arXiv:2512.22413.

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

pith.paper-citation-record.v1
2512.22413 v2

Coverage vector

measured 10 of 10 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-03T14:01:20.928421Z

measured 10 of 10 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 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

10 of 10 outbound references displayed

  • verified exact2
  • verified fuzzy0
  • unresolved8
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 9dabbe02-2948-4f02-878c-b1e85d2a0834 · outbound

This paper cites Sur certaines hypoth` eses concernant les nombres premiers.

Sierpinski's Hypothesis H1 Sur certaines hypoth` eses concernant les nombres premiers

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-03T14:01:19.831152Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T14:01:19.831152Z digest=sha256:f89035125820a345a9119c3264b0991586daaef226b4de491524c9967c06e2d0

Observation 86b6db51-8ee8-4355-b883-23997efc5042 · outbound

This paper cites Remarks on the paper “Sur certaines hypoth` eses concernant les nombres premiers.

Sierpinski's Hypothesis H1 Remarks on the paper “Sur certaines hypoth` eses concernant les nombres premiers

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-03T14:01:19.925347Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T14:01:19.925347Z digest=sha256:8baaa07c8075ccca97fc167d3c47b873d1125172feda25bb97f45afc12b4d59a

Observation 13239d96-13f7-4fbd-9847-761b6234d616 · outbound

This paper cites Zur Veralgemeinerung des Bertrandschen Postulates, das zischenxund 2xstets Primeahlen liegen.

Sierpinski's Hypothesis H1 Zur Veralgemeinerung des Bertrandschen Postulates, das zischenxund 2xstets Primeahlen liegen

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-03T14:01:20.031537Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T14:01:20.031537Z digest=sha256:9178495be2df23a50a35dc7fc5d7ca9d6b4851b1fbc8d4c5779c79dfaa881c24

Observation cbd7bbce-5a44-458b-b088-64324723acee · outbound

This paper cites Prime gap.

Sierpinski's Hypothesis H1 Prime gap

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-03T14:01:20.138372Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T14:01:20.138372Z digest=sha256:c58f4d43f4f912c7118ea66b70944479d56cf918acede9338cdc411cb9321a84

Observation 24a5f436-355c-49c8-8fe2-77f2c9c16085 · outbound

This paper cites an unresolved cited work.

Sierpinski's Hypothesis H1 Unresolved cited work

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-03T14:01:20.254233Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T14:01:20.254233Z digest=sha256:4726f03d9d9f3e7797864a320932582dad3e9350885061a6bb7d599b72cd22b5

Observation 6ccd9855-3d8c-4b4b-844e-975d77f92501 · outbound

This paper cites an unresolved cited work.

Sierpinski's Hypothesis H1 Unresolved cited work

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-03T14:01:20.400882Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T14:01:20.400882Z digest=sha256:38737a7e7d6926951e3527d91c836af9d67f79d072f3a14373a47f12e32382be

Observation d6c9a1f8-3825-4760-a8e9-32c7d4197a06 · outbound

This paper cites Approximate formulas for some functions of prime numbers.

Sierpinski's Hypothesis H1 Approximate formulas for some functions of prime numbers

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-03T14:01:20.568575Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T14:01:20.568575Z digest=sha256:16961ecb6740b2244a585dc7d9f63c2d6995139c99e26319a3060c8421133fc2

Observation e94c4578-a9a1-43dc-8855-99acbae84c2a · outbound

This paper cites The large sieve.

Sierpinski's Hypothesis H1 The large sieve

Reference 8

Resolution
verified exact
doi, observed 2026-08-03T14:03:56.445349Z

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=2026-08-03T14:01:20.715130Z digest=sha256:3f22f26567a480321681e94566d840c100dcd5c799e08794314244186b62faa7

Observation 78af3a0e-aa83-4950-b333-67ddf1470a7d · outbound

This paper cites Explicit estimates of some functions over primes.

Sierpinski's Hypothesis H1 Explicit estimates of some functions over primes

Reference 9

Resolution
verified exact
doi, observed 2026-08-03T14:03:56.151132Z

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=2026-08-03T14:01:20.884829Z digest=sha256:a396d4fbd2266d621e1b91753586cb1ea8733f6f65356ff9d569f3f9f36f5af4

Observation 2d88498f-7449-4e6b-9aba-270d2813eaf4 · outbound

This paper cites New estimates for some functions defined over primes.

Sierpinski's Hypothesis H1 New estimates for some functions defined over primes

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-03T14:01:20.928421Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T14:01:20.928421Z digest=sha256:6b0fdc028b63fd35a1d5036955445463c56d513d3bb3a3a3c05f7163c1e00459

Pith citing papers

No inbound Pith citation observations are available.