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Paper Citation Record · LEDGER

On the injective self-maps of algebraic varieties

As of 23 August 2026, this Paper Citation Record lists 24 of 24 outbound references and 0 inbound Pith citation observations for arXiv:2504.18488.

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

pith.paper-citation-record.v1
2504.18488 v1

Coverage vector

measured 24 of 24 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-16T10:30:57.023713Z

measured 24 of 24 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-23T06:30:58.430688+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

24 of 24 outbound references displayed

  • verified exact0
  • verified fuzzy22
  • unresolved2
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 5c75d816-1b14-4ed8-b408-f6269229221d · outbound

This paper cites Injective endomorphisms of varieties and schemes.

On the injective self-maps of algebraic varieties Injective endomorphisms of varieties and schemes

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T10:30:57.357568Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-16T10:30:56.931425Z digest=sha256:ee476aca7186eb745aff04c6585c49be22fc5884daebf11498450cebe071a203

Observation 1557e896-2d7d-4bde-88d8-19408ac4c5f1 · outbound

This paper cites an unresolved cited work.

On the injective self-maps of algebraic varieties Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-16T10:30:57.346139Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-16T10:30:56.936725Z digest=sha256:1af814fbffa54defc7182ef51e0e27c453e01b794413e20851a81ea1b75f8808

Observation c3f04510-05d3-45cf-aee9-3262546e48f1 · outbound

This paper cites Injective endomorphisms of algebraic varieties.

On the injective self-maps of algebraic varieties Injective endomorphisms of algebraic varieties

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T10:30:57.332577Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-16T10:30:56.941135Z digest=sha256:7124e2012d109f57117b32988a77364ba6eee3424eb8dd049bd6ee079ab340fe

Observation a2e58df3-e052-4db8-8cd7-a14689c06c9f · outbound

This paper cites Cohen-Macaulay rings , vol.

On the injective self-maps of algebraic varieties Cohen-Macaulay rings , vol

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T10:30:57.319360Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-16T10:30:56.945464Z digest=sha256:d8aea8cdbdbc94d0f856f631b4511857cf026933eb87283767061f707c848817

Observation 2b206d94-8c33-443a-9b2b-832f140c9f5e · outbound

This paper cites Injective endomorphisms of algebraic and analytic sets.

On the injective self-maps of algebraic varieties Injective endomorphisms of algebraic and analytic sets

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T10:30:57.306121Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-16T10:30:56.949859Z digest=sha256:5619ad1d91eda3e7cd5ce11443ec5818a833350b43d1472acb101b6b033e4269

Observation 8e3e1227-b48d-433b-bb2e-bd345917b7e1 · outbound

This paper cites On endomorphisms of algebraic varieties.

On the injective self-maps of algebraic varieties On endomorphisms of algebraic varieties

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T10:30:57.291804Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-16T10:30:56.954311Z digest=sha256:f380b673deed6b5734e75b4d53c661b7bf49fc6d25f69c09848d6c271c82ed73

Observation 68bc251e-000b-4a1c-915b-2217176b966c · outbound

This paper cites Endomorphisms of symbolic algebraic varieties.

On the injective self-maps of algebraic varieties Endomorphisms of symbolic algebraic varieties

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T10:30:57.280200Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-16T10:30:56.958648Z digest=sha256:205bd47662ed76df6bcf6a3c55bedafcd6dbf97cd0701a147cca02560f10dd3f

Observation a0014759-a987-475a-9dfc-fc7da50f07a8 · outbound

This paper cites ´El´ ements de g´ eom´ etrie alg´ ebrique.

On the injective self-maps of algebraic varieties ´El´ ements de g´ eom´ etrie alg´ ebrique

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T10:30:57.268402Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-16T10:30:56.962214Z digest=sha256:61c3010aa9fd69093f707739a7c7675a39eeb89e932160cccead795f2b542f80

Observation 33f43c81-0927-478e-97a8-7f4f904c1ff2 · outbound

This paper cites Algebraic geometry.

On the injective self-maps of algebraic varieties Algebraic geometry

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T10:30:57.256185Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-16T10:30:56.965835Z digest=sha256:d1804b4eb845a7771da6314b5aedbb16e82fe5dc23c9d725e9de31907b402049

Observation a3f08c80-ba1f-47e4-b6c6-090658a9f803 · outbound

This paper cites Stable reflexive sheaves.

On the injective self-maps of algebraic varieties Stable reflexive sheaves

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T10:30:57.242959Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-16T10:30:56.969307Z digest=sha256:7b17b2124789fc22c6c4a5ab0d4e757a4c8cb4e27f84ccb62870d7d8b649b4af

Observation 5e563557-9a05-4e7d-b8f6-22f986ae9135 · outbound

This paper cites On logarithmic Kodaira dimension of algebraic varieties.

On the injective self-maps of algebraic varieties On logarithmic Kodaira dimension of algebraic varieties

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T10:30:57.228828Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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Observation 4ae56a08-131d-4846-a2ed-da03d1a1c70a · outbound

This paper cites An injective rational map of an abstract algebraic variety into itself.

On the injective self-maps of algebraic varieties An injective rational map of an abstract algebraic variety into itself

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T10:30:57.215747Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-16T10:30:56.976330Z digest=sha256:a471ec68d09bf7a565612f4205d494841c92b535cca9a1dd291de38d7ea1229c

Observation 8a6197c2-d795-4f94-8088-077fc3bdfa2b · outbound

This paper cites On a theorem of Ax.

On the injective self-maps of algebraic varieties On a theorem of Ax

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T10:30:57.202952Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-16T10:30:56.979758Z digest=sha256:ee99006028cdce958ad8b3ca9aff8c27792464699a6776ba29c8ba01b8f0858c

Observation 3c6fa88c-9673-4080-af95-bb43bc887704 · outbound

This paper cites Purity of branch and critical locus.

On the injective self-maps of algebraic varieties Purity of branch and critical locus

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T10:30:57.190187Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-16T10:30:56.983416Z digest=sha256:66cc7f8407f4297f47ff16a5718419ca8ad17fe88dd45fca6ec1625d277f3ce3

Observation ec301b9a-6303-43d8-b876-7bdd59cf6a1b · outbound

This paper cites K¨ ahler differentials.

On the injective self-maps of algebraic varieties K¨ ahler differentials

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T10:30:57.176782Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-16T10:30:56.986826Z digest=sha256:7c80204104f1991678d7b1722d23df51ce3d8a5618b5c15030d375844ad57c7c

Observation 2a16a197-7cc5-4275-92a4-b6d6832c7b8d · outbound

This paper cites Injective endomorphisms of real algebraic sets are surjective.

On the injective self-maps of algebraic varieties Injective endomorphisms of real algebraic sets are surjective

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T10:30:57.164510Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-16T10:30:56.990725Z digest=sha256:87ac2a0bd790138dea616dfc9fb7d2c50c827d21b5afcf5993188b9ac7b533fa

Observation ef8ee830-2db5-4a42-80ea-e1005caef2b0 · outbound

This paper cites Surjectivity of certain injective semialgebraic transformations of Rn.

On the injective self-maps of algebraic varieties Surjectivity of certain injective semialgebraic transformations of Rn

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T10:30:57.151415Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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Observation f9fc50a7-0fb0-4210-83b9-7f9f38f2efd1 · outbound

This paper cites Birational self-maps and piecewise algebraic geometry.

On the injective self-maps of algebraic varieties Birational self-maps and piecewise algebraic geometry

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T10:30:57.138948Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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Observation 203b7767-2004-4287-8c6d-1277f2a2864d · outbound

This paper cites Free derivation modules on algebraic varieties.

On the injective self-maps of algebraic varieties Free derivation modules on algebraic varieties

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T10:30:57.124421Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-16T10:30:57.003072Z digest=sha256:1e74fd0dafc999794ee666435d4b6a14f54f24f5d8f278bef96b3106a854e9ba

Observation f00d6967-ed4d-4f60-8039-a345ab66c248 · outbound

This paper cites Open problems.

On the injective self-maps of algebraic varieties Open problems

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T10:30:57.109387Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-16T10:30:57.007081Z digest=sha256:59bd8be138fef200138163805630668d5f36086cf71c5732376324721ff5c6ee

Observation 1b3c4378-dd3d-4bec-92e5-721afa4537ee · outbound

This paper cites The red book of varieties and schemes , expanded ed., vol.

On the injective self-maps of algebraic varieties The red book of varieties and schemes , expanded ed., vol

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T10:30:57.096064Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-16T10:30:57.011329Z digest=sha256:853cfece93c26d18af5e03c3a0eb6ba2456c6a55a532ec961f1bd7270d30da75

Observation f81830fc-b85d-4466-a03a-01acde65eca4 · outbound

This paper cites an unresolved cited work.

On the injective self-maps of algebraic varieties Unresolved cited work

Reference 22

Resolution
unresolved
raw_fallback, observed 2026-08-16T10:30:57.082544Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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Observation c53083ff-0139-4949-9141-e03d15769d00 · outbound

This paper cites Topology of injective endomorphisms of real algebraic sets.

On the injective self-maps of algebraic varieties Topology of injective endomorphisms of real algebraic sets

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T10:30:57.070367Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-16T10:30:57.019697Z digest=sha256:18508d6bba48efca7d364ca56b2358e51c75e7f541cfbb01cd489fef15501659

Observation 7ba38046-38e5-4248-9777-49b642d411e5 · outbound

This paper cites The stacks project.

On the injective self-maps of algebraic varieties The stacks project

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T10:30:57.056453Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-16T10:30:57.023713Z digest=sha256:95fa8af7608bce29d914e5f6b6c4db465c38b1fef3f02c8cf5f791c930445e15

Pith citing papers

No inbound Pith citation observations are available.