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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 2026-08-11T06:34:44.6726+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

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-06T17:55:32.139762Z digest=sha256:b65e84d846ff0f6da304699c59cb11e5f49ff017d5e701c4f4943b27254fabcf

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-06T17:55:32.220456Z digest=sha256:b35c687ceddf5f8512eee73539d3aebc924b447c41e5396c1e754b8474c4c300

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-06T17:55:32.365711Z digest=sha256:6caadcb53ae6a96d1ca1b534a1b367a0785299272db9edf8cdd5f93e6bb29641

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-06T17:55:32.459376Z digest=sha256:ebe7390ba3f81e7d3f4e4ae28f07ae344957ab023c58af45f168ff53ddff0e2a

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-06T17:55:32.581036Z digest=sha256:e83882ccd7bc1c07abd04b2db1a77b2cef03a7d2814276f64f6570c8698ad75c

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-06T17:55:32.726101Z digest=sha256:fbf08aa87048af6154da7c4730e726af6d2fd959cf9d216de278081879904501

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-06T17:55:32.853098Z digest=sha256:dc7a147d9628bf531d728e8a020078a4bdae09580711760aedf343513ddb4475

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-06T17:55:32.993139Z digest=sha256:7f2dd60dba6d708a15c931ea3114126518d9d3aafa503a91862619b217434ad2

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-06T17:55:33.102668Z digest=sha256:8675af5380f3d228cc9f0dceb13163161e9fab98625aa1d93b93593b823f8b18

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-06T17:55:33.218962Z digest=sha256:abfdd7980ace93f416fde3437ce13d379a94ce8dcd940bb663de203efc4f52b1

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-06T17:55:33.324408Z digest=sha256:447982d8c7916b6bc54bcc3e6fa3bd00a2f7e78e7d35c27d1cada28411001156

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-06T17:55:33.452199Z digest=sha256:ce05a0b9a34647f594d76e0c30ea38bff9008f380e5badc3dc869d6504741ca0

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-06T17:55:33.560608Z digest=sha256:42864df0dfe76f13e470d773dade2d845ffd8ab6eca3c06d7e4775f27c59ca06

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-06T17:55:33.674527Z digest=sha256:25faf58864a077da7c684d14ad6f822b6ca61963010ee81a059ab1cf01bad707

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-06T17:55:33.824348Z digest=sha256:93df80e88370dc2f2c6cb655f34c9d86e546935ef5ab9ae8760f56d1e2ea0c79

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-06T17:55:33.942529Z digest=sha256:a3ff1c023921ffd05bde38dd76f1bb80f73cf571f29393b527541e569fcc510c

Pith citing papers

No inbound Pith citation observations are available.