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Paper Citation Record · LEDGER

Rigid affine cones over singular del Pezzo surfaces

As of 7 August 2026, this Paper Citation Record lists 26 of 26 outbound references and 2 inbound Pith citation observations for arXiv:2506.01310.

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

pith.paper-citation-record.v1
2506.01310 v1

Coverage vector

measured 26 of 26 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T11:56:18.965956Z

measured 28 of 28 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-03T14:39:10.062194Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-12T05:26:23.476415Z

Reference resolution

26 of 26 outbound references displayed

  • verified exact0
  • verified fuzzy20
  • unresolved6
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation b36f2016-bb24-43c0-a314-a5adf2d914be · outbound

This paper cites Abhyankar and T.-t.

Rigid affine cones over singular del Pezzo surfaces Abhyankar and T.-t

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:56:19.349616Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:56:18.846656Z digest=sha256:bfa0572ef2c327a785f9453536c4821a48c02ef27352565550c8c473d36dca60

Observation 7d719ae1-66d5-4e1a-b699-ffd0c742d74c · outbound

This paper cites Araujo, K¨ahler-Einstein metrics for some quasi-smooth log del Pezzo surfaces, Trans.

Rigid affine cones over singular del Pezzo surfaces Araujo, K¨ahler-Einstein metrics for some quasi-smooth log del Pezzo surfaces, Trans

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:56:19.336737Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:56:18.852230Z digest=sha256:93757f5933dc37680730120358ce6b535588cebefe74560092eade849319a552

Observation 76e49472-a0ef-4629-8447-96725f426a45 · outbound

This paper cites Cheltsov, Log canonical thresholds of del Pezzo surfaces, Geom.

Rigid affine cones over singular del Pezzo surfaces Cheltsov, Log canonical thresholds of del Pezzo surfaces, Geom

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:56:19.322054Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:56:18.858047Z digest=sha256:3b6d7d9188bb41f45c366743636c9c7b46fcafda22b993122f9d68255df2df06

Observation 031d39a4-eb6c-441f-a18c-18cb3e742c08 · outbound

This paper cites Cheltsov, J.

Rigid affine cones over singular del Pezzo surfaces Cheltsov, J

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:56:19.308707Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:56:18.863608Z digest=sha256:17647b9ac2f5389b293334f9e51c808e4d9f9de53aac63074638f72f7b28ef5d

Observation 7381dfbe-c82e-4893-8bb8-657be7c0bd6e · outbound

This paper cites Cheltsov, J.

Rigid affine cones over singular del Pezzo surfaces Cheltsov, J

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:56:19.294810Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:56:18.867999Z digest=sha256:d9aafc8bdc0da3a826b2fe4e70746f5267b704c48e52aa905ae31f68af85d357

Observation 7350398e-946a-4486-970b-ce4000b40e10 · outbound

This paper cites Cheltsov, J.

Rigid affine cones over singular del Pezzo surfaces Cheltsov, J

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:56:19.280382Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:56:18.873130Z digest=sha256:fee30313792f0c540c72473ad70b265745e33ed040ebf2a50ed18fb9e3830585

Observation 0f6d28af-ff72-4545-87ba-84ed5596efac · outbound

This paper cites Math., 152 (2016), pp.

Rigid affine cones over singular del Pezzo surfaces Math., 152 (2016), pp

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:56:19.265916Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:56:18.878117Z digest=sha256:99e5647214f0eacf19f468aee91d5e59b3c69940f99dc864b2a3bf7ed5da9c32

Observation 1a69990f-4159-46ac-afd4-21c52c284570 · outbound

This paper cites an unresolved cited work.

Rigid affine cones over singular del Pezzo surfaces Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:56:19.252160Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:56:18.882966Z digest=sha256:664d6712ae9f408c706f5c24931ee25ea04de25e954c1ea2927deebcb951e9f5

Observation 66aaf9ce-42a9-421a-9a7f-e0fa45a6e37d · outbound

This paper cites Daigle and P.

Rigid affine cones over singular del Pezzo surfaces Daigle and P

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:56:19.238322Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:56:18.887061Z digest=sha256:a4a50ccd6175bf633c2e4f86720bafc40cc176edb02f8f887bfcaa98006bc24d

Observation f4fdc945-5f89-4384-b9a2-961aaa2eaf57 · outbound

This paper cites an unresolved cited work.

Rigid affine cones over singular del Pezzo surfaces Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:56:19.224338Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:56:18.892159Z digest=sha256:d077e9277c2b614e34a7b4454ac2484c1140d77a6ecc0dc5c66da40e7db61337

Observation 6dceabd1-686a-4b21-8e96-8e4de40197fb · outbound

This paper cites an unresolved cited work.

Rigid affine cones over singular del Pezzo surfaces Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:56:19.210937Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:56:18.896714Z digest=sha256:1ee73296bbf98c38874ed83ebb393c13e3f14e05a2d0d5c143be5c4345a596ec

Observation 69c2c165-76cd-4fb0-857a-6210efc1b699 · outbound

This paper cites an unresolved cited work.

Rigid affine cones over singular del Pezzo surfaces Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:56:19.197424Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:56:18.901695Z digest=sha256:b9add0d1c02527943089599563d9c899214a4a4a42c83f14ee7af42564cf0022

Observation d884a14b-dff4-49ca-9185-1346b54039b5 · outbound

This paper cites an unresolved cited work.

Rigid affine cones over singular del Pezzo surfaces Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:56:19.184305Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:56:18.906123Z digest=sha256:505cfeb6ff3ea8d024ad84fbb1e2e1996567936e456a4f78dae957f008b561cb

Observation 6207f62b-640b-4fc4-a375-1e19c6ae2d10 · outbound

This paper cites an unresolved cited work.

Rigid affine cones over singular del Pezzo surfaces Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:56:19.171062Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:56:18.910567Z digest=sha256:bfebd52043353ed6de3b8492bec6b90648360c289ef33e945155d54d3d0a130e

Observation 23bad1a8-3036-470f-9477-e4525c83328c · outbound

This paper cites Kim and J.

Rigid affine cones over singular del Pezzo surfaces Kim and J

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:56:19.158628Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:56:18.915223Z digest=sha256:3c9e466be54f389e0a1b128f9a50b9a06833e2d73a0c76213732dac64da95da9

Observation 20347627-8967-48d2-af7b-cf4544ec34bd · outbound

This paper cites Kim and J.

Rigid affine cones over singular del Pezzo surfaces Kim and J

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:56:19.145140Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:56:18.920282Z digest=sha256:073e4aab535b39d0e963ca455294750bac467bd0a8671e27578fb6dec6287b8d

Observation 53707f98-76ea-4a9e-9725-c478300504e6 · outbound

This paper cites Kishimoto, Y.

Rigid affine cones over singular del Pezzo surfaces Kishimoto, Y

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:56:19.130553Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:56:18.924891Z digest=sha256:0936a13b78a6f93e77710d214c75e1cb57c40af87577d37960d7f6a897d8c237

Observation bb5eb1d4-1c24-4aec-8571-7bbc25858f60 · outbound

This paper cites Groups, 18 (2013), pp.

Rigid affine cones over singular del Pezzo surfaces Groups, 18 (2013), pp

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:56:19.116570Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:56:18.929131Z digest=sha256:f36a4a84f3c6862a84319968cbb404cae0ee4f0c98727554246adcff0938ab65

Observation 7a8f796f-39db-4a9a-9904-4ee36d084b58 · outbound

This paper cites Geom., 1 (2014), pp.

Rigid affine cones over singular del Pezzo surfaces Geom., 1 (2014), pp

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:56:19.102993Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:56:18.933591Z digest=sha256:2df2778c09680873addb4be672f77790244545df1255e59cee927b00ab4fcb51

Observation 5ab14734-a6e6-4ce2-9801-761c103d226b · outbound

This paper cites Koll´ar, Singularities of pairs, in Algebraic geometry—Santa Cruz 1995, vol.

Rigid affine cones over singular del Pezzo surfaces Koll´ar, Singularities of pairs, in Algebraic geometry—Santa Cruz 1995, vol

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:56:19.088440Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:56:18.938330Z digest=sha256:8fb42949e806a560c8e86d934f3dd548c8e3fc8549bb0d06b9156f3199497a04

Observation 69bef3b8-9fb3-4a59-8ca6-690a577a449b · outbound

This paper cites Lazarsfeld, Positivity in algebraic geometry.

Rigid affine cones over singular del Pezzo surfaces Lazarsfeld, Positivity in algebraic geometry

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:56:19.073697Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:56:18.942459Z digest=sha256:376b82cfe0aa2b0ac18f21d3232155bb71d278ea10ec4c6281e339c1064c3a60

Observation 0c201741-50c3-4f73-89dc-518798db40e3 · outbound

This paper cites Miyanishi, Curves on rational and unirational surfaces, vol.

Rigid affine cones over singular del Pezzo surfaces Miyanishi, Curves on rational and unirational surfaces, vol

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:56:19.058609Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:56:18.946307Z digest=sha256:4faffbb2124cf96789988dad0c6cea75d66f53471298bae482a1091550045bb7

Observation e21f154f-b22a-4561-8ec0-c31a23d3db4f · outbound

This paper cites Miyanishi and Y.

Rigid affine cones over singular del Pezzo surfaces Miyanishi and Y

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:56:19.044771Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:56:18.950955Z digest=sha256:14c8ba7e2fa609e7cae082e0627047fdc602f4bdd56852668861cf616600ea01

Observation 47a4b270-6ae8-417e-89c4-d94893b4bbbe · outbound

This paper cites Paemurru, Del Pezzo surfaces in weighted projective spaces, Proc.

Rigid affine cones over singular del Pezzo surfaces Paemurru, Del Pezzo surfaces in weighted projective spaces, Proc

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:56:19.030810Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:56:18.956164Z digest=sha256:c4e4f5b20359ddd23bb0e98a8fe7174eaa6b2177062d97d2c4c859306e9d3d26

Observation 79e8b6db-5b61-4b29-a1fa-5c7e305b81df · outbound

This paper cites Sawahara, Cylindrical ample divisors on du val del pezzo surfaces, Forum Mathematicum, (2025).

Rigid affine cones over singular del Pezzo surfaces Sawahara, Cylindrical ample divisors on du val del pezzo surfaces, Forum Mathematicum, (2025)

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:56:19.016506Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:56:18.961484Z digest=sha256:fb0ecbe5178beacf63305ae367d644aecca0d08437a8cf3be58a5c680e34f0a6

Observation ccd9f16e-bee4-4286-9137-a11c723ef021 · outbound

This paper cites Suzuki , Propri´et´es topologiques des polyn ˆomes de deux variables complexes et automorphismes alg ´ebriques de l’espace C2, J.

Rigid affine cones over singular del Pezzo surfaces Suzuki , Propri´et´es topologiques des polyn ˆomes de deux variables complexes et automorphismes alg ´ebriques de l’espace C2, J

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:56:19.002127Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:56:18.965956Z digest=sha256:f1806326e7a479ccb24e6a2865d6993eb08bc689a90be9691860ee8cdf261768

Pith citing papers

Observation d1d1c050-45ba-46bf-94e0-37c6bb6ccb33 · inbound

Cylindricity of weighted singular del Pezzo surfaces over fields of characteristic zero cites this paper.

Cylindricity of weighted singular del Pezzo surfaces over fields of characteristic zero Rigid affine cones over singular del Pezzo surfaces

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-03T14:39:10.062194Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T14:39:10.062194Z digest=sha256:04f3d023af8b83010f3ebb80daa37de985b74b6b9c5e505533e16d7d8648cb42

Observation 9ee4096c-cf0b-4a6c-a272-9118c7a422b2 · inbound

Polarized cylinders on blow-ups of weighted projective planes cites this paper.

Polarized cylinders on blow-ups of weighted projective planes Rigid affine cones over singular del Pezzo surfaces

Reference 8

Resolution
verified exact
arxiv_id, observed 2026-05-12T05:26:23.478558Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-12T05:26:16.382880Z digest=sha256:f57a8dbe7e87318e06e190d9dc205f3df38d225e37f7953bb3ada6b4aca66e18