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Paper Citation Record · LEDGER

On pairs of consecutive sequences with the same radicals

As of 12 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 2026-08-12T06:34:41.77262+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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-06T17:55:32.139762Z digest=sha256:4a010f50a1ed38522141da0db580b5ff8d78fbad3ae87961f53bf0369b7e0ece

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-06T17:55:32.220456Z digest=sha256:42820ccdd081e6a5951d8812e46d4931770683ba3952ac6e62e4c92333cfbcc4

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-06T17:55:32.365711Z digest=sha256:020cd9322179a582d0e225c549818a24040adc687f5d6f4daf7d1c6bd4754bf3

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-06T17:55:32.459376Z digest=sha256:315f5e306ba410d0264720c04d6c102c27c8b2ef17b1ca83e107b30b882c1002

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-06T17:55:32.581036Z digest=sha256:506edafbac995d9c943736dc24d8ecc8731c9ebde0462339b26b97be81029f7d

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-06T17:55:32.726101Z digest=sha256:2ccc6dac29c4010b98b7b0bfb8c22d3917f51040c10747770bd2fe45f2d5e839

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-06T17:55:32.853098Z digest=sha256:3525ba8e6b7563d7207fd73dff37ad45683b0849b47496835f479b9380c2d100

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-06T17:55:32.993139Z digest=sha256:0f10831d8918d2a9308eadef623c62d6fcff6e3367d752efba1f25ef07224427

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-06T17:55:33.102668Z digest=sha256:aea30e5e4a4708ffc47cb289ad2c14f2f6c1e55d583146159b35a3b3496ec161

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-06T17:55:33.218962Z digest=sha256:f1452168900adfdb25881148d216e6dd2fd36cb98aff1e261f45e4ef705e4a48

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-06T17:55:33.324408Z digest=sha256:4330ac3cf5a12062e0d79cfec32cb206e74ea61f8fc2b15307564981b1825d3c

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-06T17:55:33.452199Z digest=sha256:d3c79215e29dd3118b1bda2ff8b2e2c0e5a10230b27274cd43b61f6c30c718e7

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-06T17:55:33.560608Z digest=sha256:04bbb064e0437b127e9946c6ee926873ad0e0e80dc14102b02473424868e97cb

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-06T17:55:33.674527Z digest=sha256:5389952a4945e5a0773a91fdf3f2440e20359ec00d0a5dd768d6c61db49c4089

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-06T17:55:33.824348Z digest=sha256:e564f729768465498e67ffc6986a599d2ac351b6a8c7d4abd788b9795ca7dfce

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-06T17:55:33.942529Z digest=sha256:775ea295423ae91c23aebfecaaee315e54384d157cb7c67ff0f988078dd83650

Pith citing papers

No inbound Pith citation observations are available.