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Paper Citation Record · LEDGER

Images of toric variety and amplified endomorphism of weak Fano threefolds

As of 22 August 2026, this Paper Citation Record lists 30 of 30 outbound references and 0 inbound Pith citation observations for arXiv:2506.16325.

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

pith.paper-citation-record.v1
2506.16325 v3

Coverage vector

measured 30 of 30 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T23:58:04.049029Z

measured 30 of 30 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-22T06:32:14.747728+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

30 of 30 outbound references displayed

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  • verified fuzzy20
  • unresolved1
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 869a23f2-99ef-47a9-9af6-d03d1591e4bd · outbound

This paper cites Global Frobenius liftability I.

Images of toric variety and amplified endomorphism of weak Fano threefolds Global Frobenius liftability I

Reference 1

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation 0232e43a-e65f-435a-b4a3-9cc4b07e9b65 · outbound

This paper cites Global Frobenius Liftability II: Surfaces and Fano Threefolds.

Images of toric variety and amplified endomorphism of weak Fano threefolds Global Frobenius Liftability II: Surfaces and Fano Threefolds

Reference 2

Resolution
verified exact
local_arxiv, observed 2026-08-06T23:58:04.286151Z

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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation b0e419c1-bbcd-4115-a33a-f79c056c30c2 · outbound

This paper cites Endomorphisms of hypersurfaces and other manifolds.

Images of toric variety and amplified endomorphism of weak Fano threefolds Endomorphisms of hypersurfaces and other manifolds

Reference 3

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raw_fallback, observed 2026-08-06T23:58:04.587186Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T23:58:03.912344Z digest=sha256:40c40c7bd81d1400c10ca2c17545a93509074eb4a3cf7f8f7451a13f78fa7235

Observation 285ab5a0-2541-4684-9af0-aeb2d168e20a · outbound

This paper cites On smooth rationally connected projective threefolds of Picard number two admitting int-amplified endomorphisms.

Images of toric variety and amplified endomorphism of weak Fano threefolds On smooth rationally connected projective threefolds of Picard number two admitting int-amplified endomorphisms

Reference 4

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local_arxiv, observed 2026-08-06T23:58:04.263912Z

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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T23:58:03.917796Z digest=sha256:2d9980c894dcc9d2220b1a55a0e52bed495616c0f1403fe656a8417561aa7f79

Observation 24f9958a-f8da-4174-bbd8-48b915ed291e · outbound

This paper cites Towards the classification of weak Fano threefolds with ρ= 2.

Images of toric variety and amplified endomorphism of weak Fano threefolds Towards the classification of weak Fano threefolds with ρ= 2

Reference 5

Resolution
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raw_fallback, observed 2026-08-06T23:58:04.570659Z

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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T23:58:03.924622Z digest=sha256:6a5a8d46cff25117946fed766476e2f909dd0fb0a5460dc82a6cab753788534a

Observation 7521fc05-f853-41f1-a754-2ed352871de2 · outbound

This paper cites Questions on self maps of algebraic varieties.

Images of toric variety and amplified endomorphism of weak Fano threefolds Questions on self maps of algebraic varieties

Reference 6

Resolution
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local_arxiv, observed 2026-08-06T23:58:04.242531Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T23:58:03.929908Z digest=sha256:cda0cc0ee02bfe7a53ef8ee723e0ad49f8e0a569f77d20cef11824cbf79541af

Observation ff6af48b-0980-41b9-8899-2bb08b4fb1e0 · outbound

This paper cites On canonical bundle formulas and subadjunc- tions.

Images of toric variety and amplified endomorphism of weak Fano threefolds On canonical bundle formulas and subadjunc- tions

Reference 7

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verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T23:58:03.935719Z digest=sha256:f8a6bc5699bfc181ab9ed32a7141c4bfdfe88bfff8c7466beed3d8a45b678c37

Observation 107751dd-7f98-4dc3-9ac7-fd4d3fbd4f4b · outbound

This paper cites Introduction to the toric Mori theory.

Images of toric variety and amplified endomorphism of weak Fano threefolds Introduction to the toric Mori theory

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T23:58:04.540595Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T23:58:03.941349Z digest=sha256:f903b0cf26be8402ead4f45baa23c299d2a7700ccc132eefe6bb7e09fdaffb49

Observation 1263c2dd-f91a-43a5-8884-75420ad1ff29 · outbound

This paper cites Refinement of the classification of weak Fano threefolds with sextic del Pezzo fibrations.

Images of toric variety and amplified endomorphism of weak Fano threefolds Refinement of the classification of weak Fano threefolds with sextic del Pezzo fibrations

Reference 9

Resolution
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local_arxiv, observed 2026-08-06T23:58:04.220328Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T23:58:03.946043Z digest=sha256:c4737d1fea64a519080c377f72055e1a3f0542e8085f54aa91b494fa6f71ba36

Observation 2d41e1df-3882-422b-af02-71e633e86603 · outbound

This paper cites Algebraic geometry.

Images of toric variety and amplified endomorphism of weak Fano threefolds Algebraic geometry

Reference 10

Resolution
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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T23:58:03.951354Z digest=sha256:bdcca789c4d453c6800dd8918a042ae211cb85501389dc633a7ae30061217918

Observation 45f5088b-5500-4f87-b010-3a7d7fdfa64e · outbound

This paper cites Totally invariant divisors of endomorphisms of projective spaces.

Images of toric variety and amplified endomorphism of weak Fano threefolds Totally invariant divisors of endomorphisms of projective spaces

Reference 11

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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T23:58:03.956363Z digest=sha256:a9b0a5619066bf36251898f802f700f4ef7350b94f1c5398d6fa2c61412a145e

Observation 3d726862-8e66-4fc7-91c3-01d50fd69701 · outbound

This paper cites Threefolds with big and nef anticanonical bundles I.

Images of toric variety and amplified endomorphism of weak Fano threefolds Threefolds with big and nef anticanonical bundles I

Reference 12

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local_arxiv, observed 2026-08-06T23:58:04.196614Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T23:58:03.962215Z digest=sha256:e845ebd26c3b0f138461f67be9bc05107585990373c8e99f3b309583fe5ddc7a

Observation 8764484f-8454-4be5-851b-84a092f788db · outbound

This paper cites Threefolds with big and nef anti- canonical bundles II.

Images of toric variety and amplified endomorphism of weak Fano threefolds Threefolds with big and nef anti- canonical bundles II

Reference 13

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source=pdf_text observed=2026-08-06T23:58:03.967431Z digest=sha256:cefbb28c1ef86b0f00830122843dce5480fdf31e35bc47d3041ddff6a69b7ed0

Observation f67c8692-0359-45d4-8783-d0669102674c · outbound

This paper cites Frobenius liftable hypersurfaces.

Images of toric variety and amplified endomorphism of weak Fano threefolds Frobenius liftable hypersurfaces

Reference 14

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local_arxiv, observed 2026-08-06T23:58:04.174964Z

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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation a6fe3057-5293-4fc4-8295-8c9665882f30 · outbound

This paper cites Endomorphisms of varieties and Bott vanishing.

Images of toric variety and amplified endomorphism of weak Fano threefolds Endomorphisms of varieties and Bott vanishing

Reference 15

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local_arxiv, observed 2026-08-06T23:58:04.151729Z

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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T23:58:03.977040Z digest=sha256:2b2f85f4cef3eed7b228f8c8ffa71b7f2cb88bfbf2f1f2f2f6a11eb11474845c

Observation ee45b5c1-d763-4f10-bd71-eba9613be9e9 · outbound

This paper cites Kollár and M.

Images of toric variety and amplified endomorphism of weak Fano threefolds Kollár and M

Reference 16

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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T23:58:03.981873Z digest=sha256:74b7abdd51c9efe9936fdc56fa25e934a49a2436afb27391cf30e88a58fa1ebc

Observation 5593ee52-ff50-48fe-92ac-dcf22a0bb8ce · outbound

This paper cites Extremal rays on smooth threefolds.

Images of toric variety and amplified endomorphism of weak Fano threefolds Extremal rays on smooth threefolds

Reference 17

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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T23:58:03.986471Z digest=sha256:c46d95950da9f1c8655d12cf6969eec4d59dee14aa6a0d64612c9236c4e8363c

Observation f25aede8-5c75-4c04-af74-a8c355602ab2 · outbound

This paper cites Singularities of the minimal model program.

Images of toric variety and amplified endomorphism of weak Fano threefolds Singularities of the minimal model program

Reference 18

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T23:58:03.992051Z digest=sha256:8edca2ccb7ee91057e1cd455f6fe445d1d90131f168bcb99b20d83c9ffa10c16

Observation 50307962-fd29-4da0-8e0e-ee652b90a5e3 · outbound

This paper cites Building blocks of amplified endomorphisms of normal projective vari- eties.

Images of toric variety and amplified endomorphism of weak Fano threefolds Building blocks of amplified endomorphisms of normal projective vari- eties

Reference 19

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source=pdf_text observed=2026-08-06T23:58:03.996553Z digest=sha256:6eb7203d50fabea8b322489bf3e8911d49e643058cbb811f9052a4c35be42649

Observation 5ef6a8b5-20a2-44de-93e2-0616423c95fb · outbound

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

Images of toric variety and amplified endomorphism of weak Fano threefolds Building blocks of polarized endomorphisms of normal projective varieties

Reference 20

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raw_fallback, observed 2026-08-06T23:58:04.431462Z

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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T23:58:04.001129Z digest=sha256:c8357e9e01fca625aa013726e4b8461a4b83107e1482c00a3a0c0bb34323c07d

Observation 52c58dc8-a741-41cf-9e30-2642fb24244a · outbound

This paper cites Non-isomorphic endomorphisms of Fano threefolds.

Images of toric variety and amplified endomorphism of weak Fano threefolds Non-isomorphic endomorphisms of Fano threefolds

Reference 21

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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T23:58:04.006366Z digest=sha256:09e4a615ff5d15906e10d160f98c9fafa68dc939ccd5e7907668d8ff21bfc6f5

Observation 6be0e740-5845-4db9-963f-8c8c4bac9dbd · outbound

This paper cites Threefolds whose canonical bundles are not numerically effective.

Images of toric variety and amplified endomorphism of weak Fano threefolds Threefolds whose canonical bundles are not numerically effective

Reference 22

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source=pdf_text observed=2026-08-06T23:58:04.010844Z digest=sha256:df5acac17a8613a63fc2e32aac4d7621e69cba6bf8ab6b20e913f293a07dea5a

Observation c48e68da-6243-4762-a366-fac6d349c05f · outbound

This paper cites On complex normal projective surfaces admitting non-isomorphic surjective endomorphisms.

Images of toric variety and amplified endomorphism of weak Fano threefolds On complex normal projective surfaces admitting non-isomorphic surjective endomorphisms

Reference 23

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raw_fallback, observed 2026-08-06T23:58:04.385530Z

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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T23:58:04.015395Z digest=sha256:b996dae7c71b13e5f6560590a2742c9d5e7cee9fbd7e5222aae2ca71a2bb6c69

Observation 859ea632-8408-4ac4-8462-21fd421c2ea0 · outbound

This paper cites On Euler–Jaczewski sequence and Remmert–van de Ven problem for toric varieties.

Images of toric variety and amplified endomorphism of weak Fano threefolds On Euler–Jaczewski sequence and Remmert–van de Ven problem for toric varieties

Reference 24

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raw_fallback, observed 2026-08-06T23:58:04.369005Z

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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T23:58:04.020347Z digest=sha256:dbd68401800359e41340cf55f6b0f2e14ee8c0b369a8d4b072064b3e9abde431

Observation 20c8ea72-f040-4be7-ae39-e7813a731f66 · outbound

This paper cites Self maps of homogeneous spaces.

Images of toric variety and amplified endomorphism of weak Fano threefolds Self maps of homogeneous spaces

Reference 25

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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T23:58:04.025070Z digest=sha256:df21cdddceb64c0c3c1aab12e8e988fec41adb0494f0ab835c1a6d078bfbb529

Observation e03cf4f0-7ae8-4cb4-94d7-8bf54418dc2b · outbound

This paper cites University of California, Los Angeles, 2024.

Images of toric variety and amplified endomorphism of weak Fano threefolds University of California, Los Angeles, 2024

Reference 26

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raw_fallback, observed 2026-08-06T23:58:04.336688Z

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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T23:58:04.029533Z digest=sha256:ce0001aa007dd4dba9b61543eccd144c1347e6e788db5855b00f11243a5956d9

Observation 550d28fc-9aa4-42e8-85b2-c341c7ccb9c5 · outbound

This paper cites Weak Fano threefolds with del Pezzo fibration.

Images of toric variety and amplified endomorphism of weak Fano threefolds Weak Fano threefolds with del Pezzo fibration

Reference 27

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verified fuzzy
raw_fallback, observed 2026-08-06T23:58:04.321042Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T23:58:04.034596Z digest=sha256:2f6505ea480a6797462fe9a742962215f35544a7cdb19105d0c05f1d8f56cc40

Observation 2feefbab-7aaa-4036-9dc8-ed7448afef40 · outbound

This paper cites Bott vanishing for Fano 3-folds.

Images of toric variety and amplified endomorphism of weak Fano threefolds Bott vanishing for Fano 3-folds

Reference 28

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local_arxiv, observed 2026-08-06T23:58:04.129097Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T23:58:04.039083Z digest=sha256:e1b7389cab2b6ee06108244663c159b5215ca232677efa43aa3d874bc2da91ac

Observation 0acb8221-e76b-4901-98c9-12f30e6794b5 · outbound

This paper cites Endomorphisms of Fano 3-folds and log Bott vanishing.

Images of toric variety and amplified endomorphism of weak Fano threefolds Endomorphisms of Fano 3-folds and log Bott vanishing

Reference 29

Resolution
verified exact
local_arxiv, observed 2026-08-06T23:58:04.106630Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T23:58:04.044200Z digest=sha256:ee1aa1adb2fb88f9db97f604f69e0daed1f795275cdf8c5f62737f7ade53688f

Observation 8a2d59e8-45bc-4384-a5de-8630a7876a8d · outbound

This paper cites Polarized endomorphisms of uniruled varieties. With an appendix by Y. Fujimoto and N. Nakayama.

Images of toric variety and amplified endomorphism of weak Fano threefolds Polarized endomorphisms of uniruled varieties. With an appendix by Y. Fujimoto and N. Nakayama

Reference 30

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raw_fallback, observed 2026-08-06T23:58:04.304125Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T23:58:04.049029Z digest=sha256:db1f4be6ba73d861ffb889cd777b085082d0b90be0c72c00261386c8450b1277

Pith citing papers

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