Paper Citation Record · LEDGER

A uniform Tits alternative for endomorphisms of the projective line

As of 20 August 2026, this Paper Citation Record lists 14 of 14 outbound references and 0 inbound Pith citation observations for arXiv:2504.14263.

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

pith.paper-citation-record.v1
2504.14263 v1

Coverage vector

measured 14 of 14 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-16T12:06:45.293724Z

measured 14 of 14 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+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

14 of 14 outbound references displayed

verified exact2
verified fuzzy8
unresolved4
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 6173a8e5-3b98-41ed-9d21-6fe4da692f12 · outbound

This paper cites Breuillard and T.

A uniform Tits alternative for endomorphisms of the projective line Breuillard and T

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:06:45.551730Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 6047703b-2e17-4087-9a33-5fae95f21284 · outbound

This paper cites Bombieri and W.

A uniform Tits alternative for endomorphisms of the projective line Bombieri and W

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:06:45.536301Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 42ded679-d6be-4d90-a237-f2ec6fe9cc26 · outbound

This paper cites an unresolved cited work.

A uniform Tits alternative for endomorphisms of the projective line Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-16T12:06:45.521238Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 3febc6ac-f733-44a8-a20c-a056da23f420 · outbound

This paper cites an unresolved cited work.

A uniform Tits alternative for endomorphisms of the projective line Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-08-16T12:06:45.506513Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation fcc4ad65-d612-4ea7-8497-f1698e0b84a9 · outbound

This paper cites On uniform exponential growth for solvable groups.

A uniform Tits alternative for endomorphisms of the projective line On uniform exponential growth for solvable groups

Reference 5

Resolution: verified exact; local_arxiv, observed 2026-08-16T12:06:45.379802Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 3db2c8db-1140-4b82-95b8-943e03e88c32 · outbound

This paper cites Heights and arithmetic dynamics over finitely generated fields.

A uniform Tits alternative for endomorphisms of the projective line Heights and arithmetic dynamics over finitely generated fields

Reference 6

Resolution: verified exact; local_arxiv, observed 2026-08-16T12:06:45.355592Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 66af5e90-67c3-48fd-976f-e40889458b41 · outbound

This paper cites Fakhruddin, Questions on self maps of algebraic varieties, J.

A uniform Tits alternative for endomorphisms of the projective line Fakhruddin, Questions on self maps of algebraic varieties, J

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:06:45.490697Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 86392b19-234a-45d2-be39-a812a2ea635d · outbound

This paper cites Falconer, The geometry of fractal sets, Cambridge university press, Cambridge, 1985.

A uniform Tits alternative for endomorphisms of the projective line Falconer, The geometry of fractal sets, Cambridge university press, Cambridge, 1985

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:06:45.475108Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 2da99628-9e92-4f3a-bc85-7526e2e03406 · outbound

This paper cites Moriwaki, Arithmetic height functions over finitely generated fields, Invent.

A uniform Tits alternative for endomorphisms of the projective line Moriwaki, Arithmetic height functions over finitely generated fields, Invent

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:06:45.459348Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation f75ee357-bb00-4963-b5a1-34c730179544 · outbound

This paper cites Okniński, Semigroups of matrices, World Scientific, 1998.

A uniform Tits alternative for endomorphisms of the projective line Okniński, Semigroups of matrices, World Scientific, 1998

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:06:45.443501Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation bfa7a0e3-723c-4aa6-8f44-d4d66d889908 · outbound

This paper cites Serre, Analogues kählériens de certaines conjectures de weil, Ann.

A uniform Tits alternative for endomorphisms of the projective line Serre, Analogues kählériens de certaines conjectures de weil, Ann

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:06:45.427091Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 13f40c38-7297-499f-9c1e-e1c6245b07c4 · outbound

This paper cites an unresolved cited work.

A uniform Tits alternative for endomorphisms of the projective line Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-16T12:06:45.411186Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 35b0f453-449c-4a6c-ad5a-6b8590fe7c5d · outbound

This paper cites The arithmetic Hodge index theorem for adelic line bundles II.

A uniform Tits alternative for endomorphisms of the projective line The arithmetic Hodge index theorem for adelic line bundles II

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-16T12:06:45.288418Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f2c45c2e-7515-4b2c-bcd8-e0c567b8fee1 · outbound

This paper cites Zhang, Small points and adelic metrics, J.

A uniform Tits alternative for endomorphisms of the projective line Zhang, Small points and adelic metrics, J

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:06:45.395891Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Pith citing papers

No inbound Pith citation observations are available.