Paper Citation Record · LEDGER

Arithmetic Degrees are Cohomological Lyapunov Multipliers

As of 19 August 2026, this Paper Citation Record lists 21 of 21 outbound references and 0 inbound Pith citation observations for arXiv:2507.17643.

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

pith.paper-citation-record.v1
2507.17643 v1

Coverage vector

measured 21 of 21 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T14:56:19.862913Z

measured 21 of 21 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

21 of 21 outbound references displayed

verified exact5
verified fuzzy11
unresolved5
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 39d288a6-4642-4942-8ee8-62cffd44f373 · outbound

This paper cites an unresolved cited work.

Arithmetic Degrees are Cohomological Lyapunov Multipliers Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-06T14:56:20.069676Z

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 88d3a384-2f43-4e87-91df-a95a37319300 · outbound

This paper cites Degrees of Iterates of Rational Maps on Normal Projective Varieties.

Arithmetic Degrees are Cohomological Lyapunov Multipliers Degrees of Iterates of Rational Maps on Normal Projective Varieties

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-06T14:56:19.801630Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 44949281-514d-41b9-9105-5dc8bcc4ccb5 · outbound

This paper cites Degrees of iterates of rational maps on normal projective varieties.

Arithmetic Degrees are Cohomological Lyapunov Multipliers Degrees of iterates of rational maps on normal projective varieties

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-06T14:56:19.805448Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2dec40a8-1f82-4e81-af33-6c194a67edbc · outbound

This paper cites Comparison of dynamical degrees for semi-conjugate meromorphic maps.

Arithmetic Degrees are Cohomological Lyapunov Multipliers Comparison of dynamical degrees for semi-conjugate meromorphic maps

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-06T14:56:19.809222Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a39943be-e1f8-4c60-a20e-60a5c249bf3b · outbound

This paper cites Une borne sup\'erieure pour l'entropie topologique d'une application rationnelle.

Arithmetic Degrees are Cohomological Lyapunov Multipliers Une borne sup\'erieure pour l'entropie topologique d'une application rationnelle

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T14:56:20.051151Z

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 6f72ffb4-5f14-4304-a63d-9186dd8aa847 · outbound

This paper cites Silverman.

Arithmetic Degrees are Cohomological Lyapunov Multipliers Silverman

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T14:56:20.042390Z

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 5a307764-5f29-41d6-bd16-6d516ed37e26 · outbound

This paper cites Silverman.

Arithmetic Degrees are Cohomological Lyapunov Multipliers Silverman

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T14:56:20.033001Z

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 13a802f5-a124-411b-bd43-8d0e6c99407c · outbound

This paper cites A note on K awaguchi- S ilverman conjecture.

Arithmetic Degrees are Cohomological Lyapunov Multipliers A note on K awaguchi- S ilverman conjecture

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T14:56:20.024820Z

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 a9b76659-0ecf-426f-b97f-2140f244a97d · outbound

This paper cites Arithmetic degrees of dynamical systems over fields of characteristic zero.

Arithmetic Degrees are Cohomological Lyapunov Multipliers Arithmetic degrees of dynamical systems over fields of characteristic zero

Reference 9

Resolution: verified exact; local_arxiv, observed 2026-08-06T14:56:19.947799Z

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 9de4e15c-3a44-419f-a62c-0c1eb0a47d80 · outbound

This paper cites On upper bounds of arithmetic degrees.

Arithmetic Degrees are Cohomological Lyapunov Multipliers On upper bounds of arithmetic degrees

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T14:56:20.016424Z

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 b878b9ab-08df-49e6-9a48-d75cf18b7939 · outbound

This paper cites Recent advances on Kawaguchi-Silverman conjecture.

Arithmetic Degrees are Cohomological Lyapunov Multipliers Recent advances on Kawaguchi-Silverman conjecture

Reference 11

Resolution: verified exact; local_arxiv, observed 2026-08-06T14:56:19.936101Z

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 f48f05ce-bd85-482e-89a3-cd4ed9287291 · outbound

This paper cites Existence of arithmetic degrees for generic orbits and dynamical L ang-- S iegel problem.

Arithmetic Degrees are Cohomological Lyapunov Multipliers Existence of arithmetic degrees for generic orbits and dynamical L ang-- S iegel problem

Reference 12

Resolution: verified exact; doi, observed 2026-08-06T14:56:19.891969Z

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 078c7a33-1a42-4afa-8627-842008bc0da7 · outbound

This paper cites Arithmetic height functions over finitely generated fields.

Arithmetic Degrees are Cohomological Lyapunov Multipliers Arithmetic height functions over finitely generated fields

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T14:56:20.007805Z

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 8e6bcbe8-cef1-4a74-a505-51f950d06196 · outbound

This paper cites Arakelov geometry over an adelic curve and dynamical systems.

Arithmetic Degrees are Cohomological Lyapunov Multipliers Arakelov geometry over an adelic curve and dynamical systems

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T14:56:19.998289Z

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 9227b98a-cda9-4966-a8d7-77982071409f · outbound

This paper cites Silverman.

Arithmetic Degrees are Cohomological Lyapunov Multipliers Silverman

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T14:56:19.989779Z

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 afb69526-b4a4-4ba8-92cb-51de6cbb5396 · outbound

This paper cites Relative dynamical degrees of correspondences over a field of arbitrary characteristic.

Arithmetic Degrees are Cohomological Lyapunov Multipliers Relative dynamical degrees of correspondences over a field of arbitrary characteristic

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T14:56:19.980585Z

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 7c756235-dda9-4a5c-b55b-48aabdf8ac1c · outbound

This paper cites Relations between dynamical degrees, W eil's riemann hypothesis and the standard conjectures.

Arithmetic Degrees are Cohomological Lyapunov Multipliers Relations between dynamical degrees, W eil's riemann hypothesis and the standard conjectures

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T14:56:19.972330Z

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 a14886ee-7e30-4933-b627-478d9aa50d2f · outbound

This paper cites Algebraic dynamics and recursive inequalities.

Arithmetic Degrees are Cohomological Lyapunov Multipliers Algebraic dynamics and recursive inequalities

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-06T14:56:19.852432Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 78f4fdae-1204-4f14-8f28-37d9c976909c · outbound

This paper cites Numerical action for endomorphisms.

Arithmetic Degrees are Cohomological Lyapunov Multipliers Numerical action for endomorphisms

Reference 19

Resolution: verified exact; local_arxiv, observed 2026-08-06T14:56:19.917040Z

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 1b7b6511-ec5c-44f8-9d9a-3c40d5765db0 · outbound

This paper cites Around the dynamical M ordell-- L ang conjecture.

Arithmetic Degrees are Cohomological Lyapunov Multipliers Around the dynamical M ordell-- L ang conjecture

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T14:56:19.963701Z

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 2b63dddc-d7e4-420c-b65d-1f7f91aacf4b · outbound

This paper cites Height arguments toward the dynamical Mordell-Lang problem in arbitrary characteristic.

Arithmetic Degrees are Cohomological Lyapunov Multipliers Height arguments toward the dynamical Mordell-Lang problem in arbitrary characteristic

Reference 21

Resolution: verified exact; local_arxiv, observed 2026-08-06T14:56:19.905023Z

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.