Pith. sign in

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 2026-08-20T06:33:59.587034+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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-16T12:06:45.226297Z digest=sha256:f1bc7fbb5eed6b186301ade4f93f30fa36e8e706d04c1c0679aceace4924a584

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-16T12:06:45.232194Z digest=sha256:f399f198d42871ec40d3447eedb904e9c5899d8296148ce381fce1e2f33dd960

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-16T12:06:45.237156Z digest=sha256:516c7d0ed4912eb55f72d863824b55d790d8f859d466b675e7fd7d45367b5f7f

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-16T12:06:45.241843Z digest=sha256:017bbee98456ce1121b2a1800221728c53599a2274f4a816c3b95cc881dbc942

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-16T12:06:45.247596Z digest=sha256:e062eac80c19d4d3fdde4e3a3e643b13184f2678574616282037eb6422f73bbc

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-16T12:06:45.253129Z digest=sha256:1d5bef66a2d8f713ff37cb8f68f89b81f6caf916a360bbdbe7466cd907b1d9a1

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-16T12:06:45.259126Z digest=sha256:a6211586be56ad937e7f53f78704acbe9af7ccf4d76a516b023a4d8b34d0b21f

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-16T12:06:45.263977Z digest=sha256:8c6f6c4aeee14377b59f497ded2fb746632b2d140c4007c17f2ec66cfb2e07ef

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-16T12:06:45.268805Z digest=sha256:7fe68d500ea6d072c3f98d80ec137d39cdc8698803b1cbfad91ae9dd5916cae6

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-16T12:06:45.273650Z digest=sha256:16a44b124ab0be2340910e5617fbbe385e252f2feecdd24717b816d4d1dcb99c

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-16T12:06:45.278546Z digest=sha256:a1fc4b3476f9e28fe8a37c8f9ee33aa30cc4560b2a59ec7b7ad5d8c01e6a01ad

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-16T12:06:45.283278Z digest=sha256:0ea9c9a1671d446886a4d6048475e4bc83650f2575adb36d2f98564fd5ad09f7

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.

source=arxiv_source observed=2026-08-16T12:06:45.288418Z digest=sha256:5db6064b3252fd76e436c69f0acf9267e841904943944b0ebfc8d78c9614fce8

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-16T12:06:45.293724Z digest=sha256:36612b789376d48d37a88e58bf74ab0308b2a6c5d9cb4f0870e58b923df62d37

Pith citing papers

No inbound Pith citation observations are available.