Paper Citation Record · LEDGER

Multi-scale representation of integer sets: application to prime numbers

As of 12 August 2026, this Paper Citation Record lists 8 of 8 outbound references and 0 inbound Pith citation observations for arXiv:2506.03005.

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

pith.paper-citation-record.v1
2506.03005 v2

Coverage vector

measured 8 of 8 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T11:19:21.314740Z

measured 8 of 8 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

8 of 8 outbound references displayed

verified exact0
verified fuzzy5
unresolved3
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 9a9ffcc8-7cdc-437f-973b-8379ed80979a · outbound

This paper cites Mallat, A theory for multiresolution signal decomposition: the wavelet representation, IEEE Transactions on Pattern Analysis and Machine Intelligence, 11(7)(1989), 674-693.

Multi-scale representation of integer sets: application to prime numbers Mallat, A theory for multiresolution signal decomposition: the wavelet representation, IEEE Transactions on Pattern Analysis and Machine Intelligence, 11(7)(1989), 674-693

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:19:23.197405Z

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.

Observation 0fbd953d-b922-4ad0-9200-aac933f1d638 · outbound

This paper cites an unresolved cited work.

Multi-scale representation of integer sets: application to prime numbers Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-07T11:19:23.000858Z

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.

Observation d82915ac-aebc-46dd-b083-f06b0b87762f · outbound

This paper cites Dusart, Explicit estimates of some functions over primes, The Ramanujan Journal,45(1) (2018), 227-251.

Multi-scale representation of integer sets: application to prime numbers Dusart, Explicit estimates of some functions over primes, The Ramanujan Journal,45(1) (2018), 227-251

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:19:22.765991Z

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.

Observation 9736c9c7-094c-435c-af2e-844eee64e477 · outbound

This paper cites an unresolved cited work.

Multi-scale representation of integer sets: application to prime numbers Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-08-07T11:19:22.519809Z

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.

Observation 9ab088eb-e750-4f87-9687-f319a2c91434 · outbound

This paper cites Maynard, Small gaps between primes, Annals of Mathematics, 181(1) (2015), 383-413.

Multi-scale representation of integer sets: application to prime numbers Maynard, Small gaps between primes, Annals of Mathematics, 181(1) (2015), 383-413

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:19:22.265266Z

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.

Observation 0fee6cb8-9ed1-47d8-abfd-04f530024e09 · outbound

This paper cites an unresolved cited work.

Multi-scale representation of integer sets: application to prime numbers Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-07T11:19:22.023914Z

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.

Observation b422354a-f33c-4364-aa10-fa40d8894f7c · outbound

This paper cites Caldwell and Jr., G.

Multi-scale representation of integer sets: application to prime numbers Caldwell and Jr., G

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:19:21.759650Z

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.

Observation 0e2a6bfa-8221-4e56-944e-e72af0494fbf · outbound

This paper cites Tenenbaum, Introduction to Analytic and Probabilistic Number Theory, Cambridge Studies in Advanced Mathematics, 1995.

Multi-scale representation of integer sets: application to prime numbers Tenenbaum, Introduction to Analytic and Probabilistic Number Theory, Cambridge Studies in Advanced Mathematics, 1995

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:19:21.559707Z

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.

Pith citing papers

No inbound Pith citation observations are available.