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Paper Citation Record · LEDGER

On pairs of consecutive sequences with the same radicals

As of 23 August 2026, this Paper Citation Record lists 16 of 16 outbound references and 0 inbound Pith citation observations for arXiv:2507.09899.

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

pith.paper-citation-record.v1
2507.09899 v1

Coverage vector

measured 16 of 16 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T17:55:33.942529Z

measured 16 of 16 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-23T06:30:58.430688+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

16 of 16 outbound references displayed

  • verified exact0
  • verified fuzzy9
  • unresolved7
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation f8f3d763-a639-4777-ae95-1a16ca1f6ae3 · outbound

This paper cites Baker, Experiments on the abc-conjecture, Publ.

On pairs of consecutive sequences with the same radicals Baker, Experiments on the abc-conjecture, Publ

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T17:55:36.735310Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-06T17:55:32.139762Z digest=sha256:ab5251761e56d75e52223ca47410601543d9594cf8f21ef27338b43b0801c2d4

Observation 8a2df53e-14ef-4ae1-9857-a4aaea7bfaff · outbound

This paper cites Balasubramanian, T.

On pairs of consecutive sequences with the same radicals Balasubramanian, T

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T17:55:36.604451Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-06T17:55:32.220456Z digest=sha256:529dd05379ee38516511a1726cf1887b8c576fbd80bef1b6ca365adf22a5f189

Observation 1aebc39a-a1cb-4a38-bf19-a6a2a498dfce · outbound

This paper cites an unresolved cited work.

On pairs of consecutive sequences with the same radicals Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-06T17:55:36.457356Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-06T17:55:32.365711Z digest=sha256:eafab825512844d91acd1aecd88cdaaddce0870669ecb7c1fd4e68116eaeba84

Observation 280ad462-4802-4ebb-b01f-22c69a94a71d · outbound

This paper cites Erd o s, Quelques probl \' e mes de la th \' e orie des nombres , Enseign.

On pairs of consecutive sequences with the same radicals Erd o s, Quelques probl \' e mes de la th \' e orie des nombres , Enseign

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T17:55:36.264722Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-06T17:55:32.459376Z digest=sha256:f50a0aed638cc952b7418489586cb78aa05a6ceed6399e5a71687680d02d800c

Observation 1f41f2fe-b8eb-494f-a0f6-335707562f51 · outbound

This paper cites Erd o s, How many pairs of consecutive integers have the same prime factors?, Amer.

On pairs of consecutive sequences with the same radicals Erd o s, How many pairs of consecutive integers have the same prime factors?, Amer

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T17:55:36.117668Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-06T17:55:32.581036Z digest=sha256:b409e62c65dca62058b51d8c205e31f2174fcdb336b7bb3846305b191244f81c

Observation 07f87869-d0a2-4cd5-b82b-19a635929fad · outbound

This paper cites Erd o s, Some problems I presented or planned to present in my short talk, in ``Analytic Number Theory", (Boston, 1996), pp.333--335.

On pairs of consecutive sequences with the same radicals Erd o s, Some problems I presented or planned to present in my short talk, in ``Analytic Number Theory", (Boston, 1996), pp.333--335

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T17:55:35.980786Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-06T17:55:32.726101Z digest=sha256:46912eb36a5050df79d42a977608462b49e68aed40f2b25a72949b179f1fc300

Observation ecb7cf84-535a-41a3-8dd0-25a11fa8235f · outbound

This paper cites an unresolved cited work.

On pairs of consecutive sequences with the same radicals Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-06T17:55:35.816840Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-06T17:55:32.853098Z digest=sha256:54d8639cc8ebf15bda98dbef390c4349aafde1fe41e758ebb9fb4e1f963b07f2

Observation c8034054-6355-464b-9c2e-e159870f29a6 · outbound

This paper cites Langevin, Cas d \' e galite pour le theoreme de Mason et applications de la conjecture (abc) , C.

On pairs of consecutive sequences with the same radicals Langevin, Cas d \' e galite pour le theoreme de Mason et applications de la conjecture (abc) , C

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T17:55:35.691711Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-06T17:55:32.993139Z digest=sha256:a5e7e774ec1a424e33f761733669682b1c0368f47a5cd47fa32b20a97b854313

Observation d5da5fee-1801-4b59-a1cc-3371b1a9b47e · outbound

This paper cites an unresolved cited work.

On pairs of consecutive sequences with the same radicals Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-06T17:55:35.541462Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-06T17:55:33.102668Z digest=sha256:89c90ca6ac6c4391510549f8ae55af93002eadb3baa28ac39433e85a2ad9784c

Observation ad18e2f9-de7c-45ff-8c67-2e90f094e01d · outbound

This paper cites Makowski, On a problem of Erd o s , Enseign.

On pairs of consecutive sequences with the same radicals Makowski, On a problem of Erd o s , Enseign

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T17:55:35.440019Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-06T17:55:33.218962Z digest=sha256:ab3c95e62cc7d92b5b916556a53785af3107b9bdcfcfa2795e8ffee228eb3c5b

Observation 0045bb01-9974-4f74-acb7-87630777ee79 · outbound

This paper cites an unresolved cited work.

On pairs of consecutive sequences with the same radicals Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-06T17:55:35.277273Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-06T17:55:33.324408Z digest=sha256:838e6a32a021876853fdd3587bcdbaa9a42a3382a4d8f4801431d174754d781e

Observation bc0d80b1-09ac-4ba4-b03a-e431f6cc43dc · outbound

This paper cites an unresolved cited work.

On pairs of consecutive sequences with the same radicals Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-06T17:55:35.075055Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-06T17:55:33.452199Z digest=sha256:e7f60fe18a2e7f946606f1ffe02361595e18a6219780b51a2eb1641864277ed0

Observation 408265ac-39ca-4cbb-be7f-041176e16265 · outbound

This paper cites an unresolved cited work.

On pairs of consecutive sequences with the same radicals Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-06T17:55:34.929793Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-06T17:55:33.560608Z digest=sha256:7d85a0095023a0b9053f99d62e2b2db1b85bb2712d25fcbb69ef39f05fafae33

Observation 07ccb287-d8d5-476c-9672-1728421dc913 · outbound

This paper cites Tenenbaum, Introduction to Analytic and Probabilistic Number Theory, 3rd edition, Graduate Studies in Mathematics, No.

On pairs of consecutive sequences with the same radicals Tenenbaum, Introduction to Analytic and Probabilistic Number Theory, 3rd edition, Graduate Studies in Mathematics, No

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T17:55:34.668162Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-06T17:55:33.674527Z digest=sha256:9c5df929ba94980738bf662f106c887fbfe16ae710afc95d998cb42275a1bca8

Observation 44433a6e-d731-4377-a1f3-453a50d9d526 · outbound

This paper cites Waldschmidt, Lecture on the abc Conjecture and some of its consequences, in ``Mathematics in the 21st Century", Springer Proceedings in Mathematics & Statistics, Springer, 2014.

On pairs of consecutive sequences with the same radicals Waldschmidt, Lecture on the abc Conjecture and some of its consequences, in ``Mathematics in the 21st Century", Springer Proceedings in Mathematics & Statistics, Springer, 2014

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T17:55:34.435575Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-06T17:55:33.824348Z digest=sha256:c0e2bb0e6cfab93ff76857951212892ec692811cf473ebc504ff5e80d316b19a

Observation be312509-90e6-42c9-b702-7ec774f7961a · outbound

This paper cites an unresolved cited work.

On pairs of consecutive sequences with the same radicals Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-08-06T17:55:34.198970Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-06T17:55:33.942529Z digest=sha256:8b9961ab4da40e1b78736d27f736bf1920ce3efb0c6d25ce3299b0f2b5555056

Pith citing papers

No inbound Pith citation observations are available.