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Paper Citation Record · LEDGER

Degenerations of maps to projective spaces

As of 20 August 2026, this Paper Citation Record lists 20 of 20 outbound references and 0 inbound Pith citation observations for arXiv:2507.00901.

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

pith.paper-citation-record.v1
2507.00901 v1

Coverage vector

measured 20 of 20 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T21:37:32.113317Z

measured 20 of 20 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

20 of 20 outbound references displayed

  • verified exact5
  • verified fuzzy13
  • unresolved2
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 474d66b0-0da0-461a-b8d0-d4278de58e4f · outbound

This paper cites Linear series on metrized complexes of algebraic curves.

Degenerations of maps to projective spaces Linear series on metrized complexes of algebraic curves

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T21:37:32.401815Z

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=2026-08-06T21:37:32.056431Z digest=sha256:92be08c300b6f55e2f2ef12b80304acda9de0c7a41872b64f1bf5a5897f13629

Observation a21c6421-e2a4-402b-8bff-8a63414cb796 · outbound

This paper cites Tropicalization of linear series and tilings by polymatroids.

Degenerations of maps to projective spaces Tropicalization of linear series and tilings by polymatroids

Reference 2

Resolution
verified exact
local_arxiv, observed 2026-08-06T21:37:32.284134Z

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=2026-08-06T21:37:32.060671Z digest=sha256:0e71cc2cd8a5d0645c4ba8b8a5a715a96744a91fb0d650f966b9187a08253eae

Observation eaea0593-de1b-450c-b0ba-ced0dd40a4ae · outbound

This paper cites Limit canonical series.

Degenerations of maps to projective spaces Limit canonical series

Reference 3

Resolution
verified exact
local_arxiv, observed 2026-08-06T21:37:32.273332Z

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=2026-08-06T21:37:32.064476Z digest=sha256:bb97579a956a7184a5dfb9e46ad559f903c52ac9f2fe4d569d0c7e32bd77c173

Observation f641816d-24e8-4c07-bafb-5c4c5afaa753 · outbound

This paper cites Limit linear series: combinatorial theory.

Degenerations of maps to projective spaces Limit linear series: combinatorial theory

Reference 4

Resolution
verified exact
local_arxiv, observed 2026-08-06T21:37:32.262838Z

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=2026-08-06T21:37:32.068030Z digest=sha256:12c2c2044f1c100d23441e18c3329055e3899579d7ad5ddc388a9a223a362fdc

Observation 94cb8acb-8479-45e6-9a5c-2f93d48098c4 · outbound

This paper cites Clifford representatives via the uniform algebraic rank.

Degenerations of maps to projective spaces Clifford representatives via the uniform algebraic rank

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T21:37:32.393766Z

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=2026-08-06T21:37:32.070983Z digest=sha256:469bf3cbabf4364a4ee4dda0915c9e2b25717c7e68d73f3d88124c3a148443ff

Observation 835a1e98-36a5-40d4-8b53-a1c456152672 · outbound

This paper cites Degeneration of linear series from the tropical point of view and applications.

Degenerations of maps to projective spaces Degeneration of linear series from the tropical point of view and applications

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T21:37:32.385662Z

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=2026-08-06T21:37:32.073895Z digest=sha256:ee4aff1e500cc5e10d7161e7de6fb1379ebadf479ff57ba6a260014bf37dd249

Observation aa07e3b5-4c2a-44a4-adb3-ae282acdb91b · outbound

This paper cites Riemann-- R och and A bel-- J acobi theory on a finite graph.

Degenerations of maps to projective spaces Riemann-- R och and A bel-- J acobi theory on a finite graph

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T21:37:32.377802Z

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=2026-08-06T21:37:32.076912Z digest=sha256:f9372727db0965bb316e9c96f81384d7b796f77e4b2eb9c2b845c1b433fe3129

Observation 3e747ecf-57ec-45d5-bac0-282a68fb0e8e · outbound

This paper cites Linear series on semistable curves.

Degenerations of maps to projective spaces Linear series on semistable curves

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T21:37:32.370093Z

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=2026-08-06T21:37:32.079862Z digest=sha256:9c208c7f08c8424ef292656b98416c770508769ae64e19de0dc9fed3546ab5c8

Observation 76a1b332-982a-4df7-9d06-7967f4878d71 · outbound

This paper cites Mustafin varieties.

Degenerations of maps to projective spaces Mustafin varieties

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T21:37:32.361815Z

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=2026-08-06T21:37:32.082953Z digest=sha256:cabdf089ae2d61b787c8fae5c9643f8ada777438ca88a23f3d4e83808bf6fec4

Observation 37d483bd-0451-4398-90d4-8a784d6e7c87 · outbound

This paper cites Limit linear series: Basic theory.

Degenerations of maps to projective spaces Limit linear series: Basic theory

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T21:37:32.353203Z

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=2026-08-06T21:37:32.085667Z digest=sha256:605376b0c6e7db6ef26a60423190749dafcd0fdb691c1fb029b01f9550792a25

Observation 1ef01614-047b-40c8-9945-ac2e159a7ffc · outbound

This paper cites Progress in the theory of complex algebraic curves.

Degenerations of maps to projective spaces Progress in the theory of complex algebraic curves

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T21:37:32.345073Z

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=2026-08-06T21:37:32.088352Z digest=sha256:2d9a163b58dc6723cf13c3eff41b7061f8a6a02371d1455f6bb54ae5c61fc76a

Observation d513dafd-7883-4107-a30b-222a0c42e514 · outbound

This paper cites Limit canonical systems on curves with two components.

Degenerations of maps to projective spaces Limit canonical systems on curves with two components

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T21:37:32.336842Z

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=2026-08-06T21:37:32.091040Z digest=sha256:24aaa82f044cfdc351ccdab1f8a2ecfe7e08d2672a31f44517b24b12c85f55a6

Observation e2cb9f09-44f0-4880-bb24-6b2fdd4cf2b1 · outbound

This paper cites Quiver representations arising from degenerations of linear series, I.

Degenerations of maps to projective spaces Quiver representations arising from degenerations of linear series, I

Reference 13

Resolution
verified exact
raw_fallback, observed 2026-08-06T21:37:32.250520Z

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=2026-08-06T21:37:32.093783Z digest=sha256:317b642100cf5d5620b317fc891327e2f181ddaf766acf4bda801751352b6378

Observation f22f26df-553d-432c-9246-5e826ec21557 · outbound

This paper cites Quiver representations arising from degenerations of linear series, II.

Degenerations of maps to projective spaces Quiver representations arising from degenerations of linear series, II

Reference 14

Resolution
verified exact
raw_fallback, observed 2026-08-06T21:37:32.195575Z

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=2026-08-06T21:37:32.096894Z digest=sha256:32e10f454934125de5135bea0683f847f413c9bc6c0c0718f68d4fe345489414

Observation 84cb7900-1d85-4aee-8cf8-a63954dc4950 · outbound

This paper cites Flatness of the linked G rassmannian.

Degenerations of maps to projective spaces Flatness of the linked G rassmannian

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T21:37:32.328546Z

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=2026-08-06T21:37:32.099558Z digest=sha256:50f57f966146b96bfd7907e62febe57c77155ff082abbdb80a0bf03c797d9955

Observation 55bc3466-8be2-403d-b204-5e5a22832efa · outbound

This paper cites Kempf, F.

Degenerations of maps to projective spaces Kempf, F

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T21:37:32.320155Z

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=2026-08-06T21:37:32.102102Z digest=sha256:1fa4eb4cec44f792a35360d4a60b617f013fb1c0a34a05843abed0e64fb4608e

Observation 122191db-2d24-4298-8ae6-b284942b3eb8 · outbound

This paper cites Pl\" u cker relations for quiver G rassmannians.

Degenerations of maps to projective spaces Pl\" u cker relations for quiver G rassmannians

Reference 17

Resolution
unresolved
no resolver link, observed 2026-08-06T21:37:32.104947Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T21:37:32.104947Z digest=sha256:172f0e84d35cfe98fa0ad26358e8c1352fbb5fe2ab2a981b9d021758561eec04

Observation 825ebd89-53a6-416c-a928-0b4f6d776c67 · outbound

This paper cites A limit linear series moduli scheme.

Degenerations of maps to projective spaces A limit linear series moduli scheme

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T21:37:32.307641Z

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=2026-08-06T21:37:32.107671Z digest=sha256:553f472dc8ee47d36a8192f19a326b110ee97e103aac26bfc368d4e680cdaa8e

Observation 7206b6d1-2f15-4756-9aeb-4d568763ddd4 · outbound

This paper cites Limit linear series for curves not of compact type.

Degenerations of maps to projective spaces Limit linear series for curves not of compact type

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T21:37:32.298757Z

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=2026-08-06T21:37:32.110408Z digest=sha256:bf5dc0174570eb74849cefd05c3243de9e37bc94829798c80862139b4897dfdd

Observation da597c4c-fa0c-4e87-8996-1de0be4142f8 · outbound

This paper cites Every projective variety is a quiver G rassmannian.

Degenerations of maps to projective spaces Every projective variety is a quiver G rassmannian

Reference 20

Resolution
unresolved
no resolver link, observed 2026-08-06T21:37:32.113317Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T21:37:32.113317Z digest=sha256:b2eb9b834d14aaf96c4e308bb815ebbdf12415f0c3741d6082dbde2b4298794b

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