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Paper Citation Record · LEDGER

Numerical spectrums control Cohomological spectrums

As of 19 August 2026, this Paper Citation Record lists 22 of 22 outbound references and 2 inbound Pith citation observations for arXiv:2412.01216.

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

pith.paper-citation-record.v1
2412.01216 v2

Coverage vector

measured 22 of 22 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T04:50:17.775445Z

measured 24 of 24 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 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-05-12T02:58:16.026195Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: arxiv_reference, observed 2026-05-12T03:01:18.450513Z

Reference resolution

22 of 22 outbound references displayed

  • verified exact0
  • verified fuzzy11
  • unresolved11
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  • malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 397b8901-ed70-4376-8b7d-ed63aed9adb2 · outbound

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

Numerical spectrums control Cohomological spectrums Degrees of iterates of rational maps on normal projective varieties

Reference 1

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no resolver link, observed 2026-08-12T04:50:17.686829Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-12T04:50:17.686829Z digest=sha256:bd607908680a4b80efb6fe4d5df993636179844f4eeecd0bf9ec9fa074ed38b8

Observation d3fcda25-ee86-43c4-92e9-b2a086c93c9b · outbound

This paper cites La conjecture de W eil.

Numerical spectrums control Cohomological spectrums La conjecture de W eil

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T04:50:18.027810Z

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.

source=arxiv_source observed=2026-08-12T04:50:17.691205Z digest=sha256:e9b8f732af198251f4497da87fc3abcfc9b3d75e969a5ffed0d9c1c7c7eb4b69

Observation e362f045-33e4-4e66-94fe-b4a829b9e0f3 · outbound

This paper cites Suites d'applications m\' e romorphes multivalu\' e es et courants laminaires.

Numerical spectrums control Cohomological spectrums Suites d'applications m\' e romorphes multivalu\' e es et courants laminaires

Reference 3

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verified fuzzy
raw_fallback, observed 2026-08-12T04:50:18.015873Z

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.

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Observation b0cc0a36-ad21-401a-aa9c-981ff5248527 · outbound

This paper cites Regularization of currents and entropy.

Numerical spectrums control Cohomological spectrums Regularization of currents and entropy

Reference 4

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no resolver link, observed 2026-08-12T04:50:17.698894Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-12T04:50:17.698894Z digest=sha256:847914c8d4e796996439ec8da110ecd845f1f5a2f10f697aa8fe4b59e9a5c6f4

Observation a1a8a8c0-d0b0-4aab-b56d-b565ae638ff6 · outbound

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

Numerical spectrums control Cohomological spectrums Une borne sup\'erieure pour l'entropie topologique d'une application rationnelle

Reference 5

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no resolver link, observed 2026-08-12T04:50:17.703060Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-12T04:50:17.703060Z digest=sha256:6967a3d50e81d4a736053c5f9b80a0dbd571f6e03090d7a3214eb272a0c86069

Observation c2637d9c-700f-4af8-8be3-1259f7a0678a · outbound

This paper cites Equidistribution problems in complex dynamics of higher dimension.

Numerical spectrums control Cohomological spectrums Equidistribution problems in complex dynamics of higher dimension

Reference 6

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verified fuzzy
raw_fallback, observed 2026-08-12T04:50:17.991398Z

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.

source=arxiv_source observed=2026-08-12T04:50:17.706974Z digest=sha256:24e3b9c69238ab7d41de99fae4acafe5815a8aafa2aac201ebb8130fa7057b20

Observation 1f7c377c-c546-437e-a49e-4d159a9d533d · outbound

This paper cites Periodic points for meromorphic self-maps of F ujiki varieties.

Numerical spectrums control Cohomological spectrums Periodic points for meromorphic self-maps of F ujiki varieties

Reference 7

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verified fuzzy
raw_fallback, observed 2026-08-12T04:50:17.979409Z

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.

source=arxiv_source observed=2026-08-12T04:50:17.710993Z digest=sha256:8d1ab78efe4c13eaef71d06e7b31f9fb1c3394b24ef75a682a6276ddb3d4af1b

Observation 01a0353d-b448-4a6b-ab80-dd2b4b032f49 · outbound

This paper cites Algebraic versus topological entropy for surfaces over finite fields.

Numerical spectrums control Cohomological spectrums Algebraic versus topological entropy for surfaces over finite fields

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T04:50:17.967271Z

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.

source=arxiv_source observed=2026-08-12T04:50:17.714747Z digest=sha256:b8e7ded1e7d7bc948cdbb5a6d28a227a2975c5acff8883e68ec515c9cf8f6793

Observation 390c3212-04ca-47f8-adca-8190f8d98cea · outbound

This paper cites Questions on self maps of algebraic varieties.

Numerical spectrums control Cohomological spectrums Questions on self maps of algebraic varieties

Reference 9

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unresolved
no resolver link, observed 2026-08-12T04:50:17.719030Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-12T04:50:17.719030Z digest=sha256:dabea10822eb915dc2c79103ba896337f8b8b50999e7665b2d3b5a3ae78a2d21

Observation fea519e6-7ed6-4d39-9a51-c646f91e56c7 · outbound

This paper cites A dynamical approach to generalized W eil's R iemann hypothesis and semisimplicity.

Numerical spectrums control Cohomological spectrums A dynamical approach to generalized W eil's R iemann hypothesis and semisimplicity

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T04:50:17.947349Z

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.

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Observation 0d7ea7d0-1f64-4612-8460-43b236c791fc · outbound

This paper cites Eigenvalues and dynamical degrees of self-maps on abelian varieties.

Numerical spectrums control Cohomological spectrums Eigenvalues and dynamical degrees of self-maps on abelian varieties

Reference 11

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verified fuzzy
raw_fallback, observed 2026-08-12T04:50:17.933511Z

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.

source=arxiv_source observed=2026-08-12T04:50:17.727374Z digest=sha256:7ca8eaea4a9f1789adf0cda406c25012271681a343fec94c287b0dae061fab12

Observation 8c36ea96-b93c-463d-abe7-58c2d6a2d35d · outbound

This paper cites Cohomological and numerical dynamical degrees on abelian varieties.

Numerical spectrums control Cohomological spectrums Cohomological and numerical dynamical degrees on abelian varieties

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T04:50:17.919369Z

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.

source=arxiv_source observed=2026-08-12T04:50:17.731344Z digest=sha256:0f8d38bed4828343f68d3f130cfd886f1ef7a7832aad25a82978d42219f02ea7

Observation 90874b92-a52c-4b69-9240-f0fed907f551 · outbound

This paper cites Katz and William Messing.

Numerical spectrums control Cohomological spectrums Katz and William Messing

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T04:50:17.907288Z

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.

source=arxiv_source observed=2026-08-12T04:50:17.735393Z digest=sha256:f548da202694577a2b426bc135843aa1ecb947d18f8b5bfd9607afe0c01c21f4

Observation 2cf1ed45-62f9-4298-9a73-24031a9255eb · outbound

This paper cites Building blocks of amplified endomorphisms of normal projective varieties.

Numerical spectrums control Cohomological spectrums Building blocks of amplified endomorphisms of normal projective varieties

Reference 14

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unresolved
no resolver link, observed 2026-08-12T04:50:17.739510Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-12T04:50:17.739510Z digest=sha256:cda3c56b5bb0a2ad1d2b2ad48f6555f2726d034b3346f659531d75f88e562c47

Observation bd062a32-888e-48b2-99c3-a1465f1d36b5 · outbound

This paper cites Advances in the equivariant minimal model program and their applications in complex and arithmetic dynamics.

Numerical spectrums control Cohomological spectrums Advances in the equivariant minimal model program and their applications in complex and arithmetic dynamics

Reference 15

Resolution
unresolved
no resolver link, observed 2026-08-12T04:50:17.744117Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-12T04:50:17.744117Z digest=sha256:bd2b7b2ab4fde3c005521dee0fc70b8f3feb861754c29852f11e94e861dec9eb

Observation d3b08899-603f-41ad-9bda-62c85e51fde8 · outbound

This paper cites Value distribution for sequences of rational mappings and complex dynamics.

Numerical spectrums control Cohomological spectrums Value distribution for sequences of rational mappings and complex dynamics

Reference 16

Resolution
unresolved
no resolver link, observed 2026-08-12T04:50:17.749381Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-12T04:50:17.749381Z digest=sha256:be82d1ac4588cc0cdfda4117e11a19b01ea6d05b649806f32341bb340e4bb94a

Observation d353bda9-b65b-4620-8dce-8d9f3b15067d · outbound

This paper cites an unresolved cited work.

Numerical spectrums control Cohomological spectrums Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-12T04:50:17.879810Z

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.

source=arxiv_source observed=2026-08-12T04:50:17.753366Z digest=sha256:86541ea6b78d0cb510543842b36a746e584373e036bcdd8f19d2184f66910d9f

Observation 5bbdd8f0-d76c-4ed6-ae41-36b7b99701f0 · outbound

This paper cites an unresolved cited work.

Numerical spectrums control Cohomological spectrums Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-12T04:50:17.867108Z

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.

source=arxiv_source observed=2026-08-12T04:50:17.757435Z digest=sha256:bccfaf9b1c73ff315c917195052be825326f1077364480bfcc3c46e45189849e

Observation 90bf0784-73be-4a31-87c0-6faf2c949c33 · outbound

This paper cites Etale cohomology over number fields.

Numerical spectrums control Cohomological spectrums Etale cohomology over number fields

Reference 19

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verified fuzzy
raw_fallback, observed 2026-08-12T04:50:17.854432Z

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.

source=arxiv_source observed=2026-08-12T04:50:17.761344Z digest=sha256:f733a0758d64d9d14868e1d20570099bf63afccc1805049a2c8cd518a12f8fd3

Observation e191c0ce-23b6-4e72-b21b-5ed0e03e9071 · outbound

This paper cites an unresolved cited work.

Numerical spectrums control Cohomological spectrums Unresolved cited work

Reference 20

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raw_fallback, observed 2026-08-12T04:50:17.841619Z

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.

source=arxiv_source observed=2026-08-12T04:50:17.765452Z digest=sha256:d16e1cde9848a07a787a3093e6475bbce29d2f23460b4c08959573e28e1a5916

Observation 1cdd2ffd-91bf-4605-a19c-250e225a7585 · outbound

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

Numerical spectrums control Cohomological spectrums Relative dynamical degrees of correspondences over a field of arbitrary characteristic

Reference 21

Resolution
unresolved
no resolver link, observed 2026-08-12T04:50:17.771380Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-12T04:50:17.771380Z digest=sha256:bd90581dd9359ec294e28df4b852ef5fb6443529b37d8c1d4728f950e62dfe2f

Observation 766900ee-4ac5-4eb0-8ee4-26bc74778fb6 · outbound

This paper cites R elations between dynamical degrees, W eil's R iemann hypothesis and the standard conjectures.

Numerical spectrums control Cohomological spectrums R elations between dynamical degrees, W eil's R iemann hypothesis and the standard conjectures

Reference 22

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verified fuzzy
raw_fallback, observed 2026-08-12T04:50:17.821628Z

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.

source=arxiv_source observed=2026-08-12T04:50:17.775445Z digest=sha256:acb4c2537c789e36d9f22e09157ee51036eeec90e858bfe2619b363d60f7c8f8

Pith citing papers

Observation 8bbb128a-59aa-499e-ad78-9ce058dcca4b · inbound

A lower bound for polynomial volume growth of automorphisms of zero entropy cites this paper.

A lower bound for polynomial volume growth of automorphisms of zero entropy Numerical spectrums control Cohomological spectrums

Reference 34

Resolution
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arxiv_id, observed 2026-05-11T15:01:06.298086Z

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.

source=arxiv_source observed=2026-05-09T20:45:37.629887Z digest=sha256:7501e6d94ca6906d9e80d3e7fb9e8393756a335c2b97b3f851b2e6385c278f3c

Observation 264596f7-9f48-491d-8cad-ad2d0190f28f · inbound

A lower bound for polynomial volume growth of automorphisms of zero entropy cites this paper.

A lower bound for polynomial volume growth of automorphisms of zero entropy Numerical spectrums control Cohomological spectrums

Reference 34

Resolution
verified exact
arxiv_id, observed 2026-05-12T03:01:18.451961Z

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

source=arxiv_source observed=2026-05-12T02:58:16.026195Z digest=sha256:4241f6f53b53aa23f8b2c91f322f2ab1438dcd966da4e5ab5b67871fa58e704d