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Paper Citation Record · LEDGER

$\delta$-invariants of log Fano planes

As of 23 August 2026, this Paper Citation Record lists 30 of 30 outbound references and 1 inbound Pith citation observation for arXiv:2505.22528.

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

pith.paper-citation-record.v1
2505.22528 v1

Coverage vector

measured 30 of 30 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T13:17:11.147605Z

measured 31 of 31 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 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-04T20:26:21.189198Z

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

  • verified exact6
  • verified fuzzy18
  • unresolved6
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 1003e4c6-a882-4185-b75b-a70ffc47a5fd · outbound

This paper cites Abban, Z.

$\delta$-invariants of log Fano planes Abban, Z

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:17:16.045549Z

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=2026-08-07T13:17:08.070962Z digest=sha256:3602190678ba47156997663b947e3bde62defe11a675238abc1e87fc4d4a6035

Observation 30de5d93-c57e-4233-8b44-6aba76d43648 · outbound

This paper cites Allcock.The moduli space of cubic threefolds , J.

$\delta$-invariants of log Fano planes Allcock.The moduli space of cubic threefolds , J

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:17:15.908200Z

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=2026-08-07T13:17:08.135235Z digest=sha256:20b92e3c5112c5e7e760c8249cca721ae8af29d17d416f3b200b1e1f60a5eb7a

Observation 45a96a64-a3ee-4265-a308-249f27e36454 · outbound

This paper cites Wall crossing for K-moduli spaces of plane curves.

$\delta$-invariants of log Fano planes Wall crossing for K-moduli spaces of plane curves

Reference 3

Resolution
verified exact
local_arxiv, observed 2026-08-07T13:17:12.329591Z

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=2026-08-07T13:17:08.268138Z digest=sha256:41328461aaa779954fd91ac74208980970f398631ad091cbc3b0788704a59c00

Observation 3ac631cb-2de6-4a6b-b81d-a08717ddd28d · outbound

This paper cites Ascher, K.

$\delta$-invariants of log Fano planes Ascher, K

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:17:15.771515Z

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=2026-08-07T13:17:08.420422Z digest=sha256:5dd326ed5fa8aab523668b5f05ca5a319504012321afe3c423e5d0d9f950b925

Observation d2833845-9553-4ebb-88b2-6d3b4fddeb73 · outbound

This paper cites Araujo, A.-M.

$\delta$-invariants of log Fano planes Araujo, A.-M

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:17:15.511211Z

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=2026-08-07T13:17:08.533031Z digest=sha256:680a7beb40280a63bc72d32b1a28062de2ba2e7be5d328704eeac716bd1c6b8b

Observation 86ddc843-8581-480c-9b12-3d32fc5f909e · outbound

This paper cites K-stability of Fano threefolds of rank 4 and degree 24.

$\delta$-invariants of log Fano planes K-stability of Fano threefolds of rank 4 and degree 24

Reference 6

Resolution
verified exact
local_arxiv, observed 2026-08-07T13:17:12.131390Z

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=2026-08-07T13:17:08.610114Z digest=sha256:87f4a7f46ea8390988466aa5d5cb1fb5ae40446eeee91c9be33be54128f243d3

Observation e22b389d-31ae-4448-998a-1e0e4ac581ac · outbound

This paper cites Cheltsov, On singular cubic surfaces , Asian Journal of Mathematics 13 (2009), 191-214.

$\delta$-invariants of log Fano planes Cheltsov, On singular cubic surfaces , Asian Journal of Mathematics 13 (2009), 191-214

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:17:15.395325Z

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=2026-08-07T13:17:08.729795Z digest=sha256:7b710361d1df36d9e4929be7c3bdc55491afd7b3ef2319c13d5d6b036ba5ee96

Observation 32a775d0-e33c-4cd8-8158-7f3b9a2cfe82 · outbound

This paper cites Cheltsov, Worst singularities of plane curves of given degree Journal of Geometric Analysis 27 (2017), 2302-2338.

$\delta$-invariants of log Fano planes Cheltsov, Worst singularities of plane curves of given degree Journal of Geometric Analysis 27 (2017), 2302-2338

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:17:15.288543Z

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=2026-08-07T13:17:08.855315Z digest=sha256:62bc85410762c883f5e560326bb93beb12fca9b3e31f2a95fa3edc75516f6e73

Observation 50a36f55-2b78-405a-9299-b05b0c8513aa · outbound

This paper cites Cheltsov, D.

$\delta$-invariants of log Fano planes Cheltsov, D

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:17:15.162908Z

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=2026-08-07T13:17:08.961277Z digest=sha256:dbb95a543ca62dde6ccb71ca0545c7626093852d0567083ff7164b98723fd655

Observation 6a836ab6-bc90-4c17-81ad-bd5e670a8fc9 · outbound

This paper cites K-stable smooth Fano threefolds of Picard rank two.

$\delta$-invariants of log Fano planes K-stable smooth Fano threefolds of Picard rank two

Reference 10

Resolution
verified exact
local_arxiv, observed 2026-08-07T13:17:11.987594Z

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=2026-08-07T13:17:09.042956Z digest=sha256:24e07dc2aa85a5d2325befe1844ecb4d5234ec0e5c5148151a30686b9537ecea

Observation 9f5882ae-9077-4fb8-8a55-a2218461703e · outbound

This paper cites Cheltsov, K.

$\delta$-invariants of log Fano planes Cheltsov, K

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:17:15.013659Z

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=2026-08-07T13:17:09.168081Z digest=sha256:bfc27ee4860afbc0e25218d5a575e74f5472366db07abb81ad0c6ceaab598ca3

Observation eb203750-910d-4a4e-89e3-dcad2e23f7de · outbound

This paper cites Cheltsov, J.

$\delta$-invariants of log Fano planes Cheltsov, J

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:17:14.872891Z

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=2026-08-07T13:17:09.282683Z digest=sha256:0d35c20e863de477bd8497a6447ff73aa1a42a1b70bc846c5a61838b217d89de

Observation 91454417-5741-44e1-a9e8-1473839b4f47 · outbound

This paper cites Coray, M.

$\delta$-invariants of log Fano planes Coray, M

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:17:14.708983Z

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=2026-08-07T13:17:09.426237Z digest=sha256:724636fe1141a1611c533c249d478c2f67f0befb5448cd83a6932e4cc3a99db1

Observation 5c8aeeb1-b47e-40d7-b9b0-bfe0692210bc · outbound

This paper cites On $K$-stability of $\mathbb{P}^3$ blown up along the disjoint union of a twisted cubic curve and a line.

$\delta$-invariants of log Fano planes On $K$-stability of $\mathbb{P}^3$ blown up along the disjoint union of a twisted cubic curve and a line

Reference 14

Resolution
unresolved
no resolver link, observed 2026-08-07T13:17:09.527286Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T13:17:09.527286Z digest=sha256:f321403f4b884d8bdfc34b6af7c00125a525420411d4f34419364c8ba3749a43

Observation dc19863c-6efb-49e8-98b0-2ead349db5fc · outbound

This paper cites Denisova,K-stability of Fano 3-folds of Picard rank 3 and degree 20 , Annali dell’Universita di Ferrara (2024) DOI: 10.1007/s11565-024-00516-6.

$\delta$-invariants of log Fano planes Denisova,K-stability of Fano 3-folds of Picard rank 3 and degree 20 , Annali dell’Universita di Ferrara (2024) DOI: 10.1007/s11565-024-00516-6

Reference 15

Resolution
verified exact
doi, observed 2026-08-07T13:17:11.356452Z

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=2026-08-07T13:17:09.616969Z digest=sha256:90752d869e4855bcdc026f62f9133ce0932cc3b54d50ed00cb021fc5a97aab9c

Observation 06338922-dc5a-4d43-b8a7-41df6157b461 · outbound

This paper cites Dervan,On K-stability of finite covers , Bull.

$\delta$-invariants of log Fano planes Dervan,On K-stability of finite covers , Bull

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:17:14.550337Z

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=2026-08-07T13:17:09.702373Z digest=sha256:d7e23131b830b3678179ba75f6f69edc0d3743e139ebf97f83d5dd0029336d03

Observation d7dbd374-5d07-4ed0-98aa-d57f8d63a9fd · outbound

This paper cites On K-stability of $\mathbb{P}^3$ blown up along a (2,3) complete intersection.

$\delta$-invariants of log Fano planes On K-stability of $\mathbb{P}^3$ blown up along a (2,3) complete intersection

Reference 17

Resolution
verified exact
local_arxiv, observed 2026-08-07T13:17:11.755421Z

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=2026-08-07T13:17:09.813378Z digest=sha256:833930c8650cdd3f9b0d0b8b9b8f089fa46866844244a4471483e7b7ca795e94

Observation 9b211c57-c4b7-48f5-966a-2e7f6dfc52ac · outbound

This paper cites HuiPlane Quartic Curves, Thesis Ph.D., Liverpool University, (1979).

$\delta$-invariants of log Fano planes HuiPlane Quartic Curves, Thesis Ph.D., Liverpool University, (1979)

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:17:14.408537Z

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=2026-08-07T13:17:09.889023Z digest=sha256:08af956fc0f6cbc0d24232541e62167d6b61fcdcc68a247659747720aea6560f

Observation 1eb9824f-0e31-468f-8181-a372acbfa59b · outbound

This paper cites Fujita, A valuative criterion for uniform K-stability of Q-Fano varieties , J.

$\delta$-invariants of log Fano planes Fujita, A valuative criterion for uniform K-stability of Q-Fano varieties , J

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:17:14.279435Z

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=2026-08-07T13:17:09.976619Z digest=sha256:253a88086474a6d9e97b38db02e0cbae72c0141e254f61255baf4bbff7ec8b11

Observation c549c10d-f886-40af-ae27-9501873dedaf · outbound

This paper cites Liu, K-stability of Fano threefolds of rank 2 and degree 14 as double covers , Mathematische Zeitschrift, to appear.

$\delta$-invariants of log Fano planes Liu, K-stability of Fano threefolds of rank 2 and degree 14 as double covers , Mathematische Zeitschrift, to appear

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:17:14.057217Z

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=2026-08-07T13:17:10.060526Z digest=sha256:5c02489285bf2a8028453e98d85a8037800be991e59d078e5d8c2930c4ecdf9c

Observation 4ac6c1fa-4298-449b-a523-e8f3aee1a4f0 · outbound

This paper cites an unresolved cited work.

$\delta$-invariants of log Fano planes Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:17:13.875717Z

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=2026-08-07T13:17:10.163553Z digest=sha256:9c5b1a528e0574b5eb75c1ac4f0d8a80c36e3e04c11d9c0bd479d8598258c12e

Observation eb779265-8c20-4ac6-acdd-83799194dc9e · outbound

This paper cites K-moduli of Fano threefolds and genus four curves.

$\delta$-invariants of log Fano planes K-moduli of Fano threefolds and genus four curves

Reference 22

Resolution
unresolved
no resolver link, observed 2026-08-07T13:17:10.277566Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T13:17:10.277566Z digest=sha256:edfeba00b0fb1a4f09d0b7cc2b010d3b8819086e60a2fd8e253e54a5cda5f731

Observation 2277fc19-bf51-49f0-b251-b59d006b30da · outbound

This paper cites K-stable Fano threefolds of rank 2 and degree 28.

$\delta$-invariants of log Fano planes K-stable Fano threefolds of rank 2 and degree 28

Reference 23

Resolution
verified exact
local_arxiv, observed 2026-08-07T13:17:11.556957Z

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=2026-08-07T13:17:10.393891Z digest=sha256:2fa24f37ae6a699ac45c0605c8c87d4c1061b95414a1774ec8ecb0ace93174c9

Observation 7377f9d7-1146-41ca-8c51-a25380fd25c3 · outbound

This paper cites Namba Geometry of projective algebraic curves Print Book, English, (1984).

$\delta$-invariants of log Fano planes Namba Geometry of projective algebraic curves Print Book, English, (1984)

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:17:13.654269Z

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=2026-08-07T13:17:10.515137Z digest=sha256:33c68faea4585e9e8f963961d6c09173d0a0abd721fe669011124f1e666a12c6

Observation 3365a01a-190f-4dc8-84d9-978480202c27 · outbound

This paper cites an unresolved cited work.

$\delta$-invariants of log Fano planes Unresolved cited work

Reference 25

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:17:13.478024Z

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=2026-08-07T13:17:10.633013Z digest=sha256:b6d122efd2dc414f51d19a3fb3b3c06b2d9bcc108f0346d69730736dadd83fb6

Observation 9c9b15f1-605d-4b83-8e76-411399ff5699 · outbound

This paper cites an unresolved cited work.

$\delta$-invariants of log Fano planes Unresolved cited work

Reference 26

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:17:13.227416Z

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=2026-08-07T13:17:10.717350Z digest=sha256:6f7a7a06da39abc969da7b6c284aea4ed78e10bd5be0934d5231ba2256de6c97

Observation a7473614-7d7b-4578-b9a0-1d7f6f75c6c7 · outbound

This paper cites an unresolved cited work.

$\delta$-invariants of log Fano planes Unresolved cited work

Reference 27

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:17:12.974236Z

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=2026-08-07T13:17:10.763965Z digest=sha256:749919a96f0edea46eb934f7639d020c4064302ff292d327ae960af591acdd0b

Observation f49e7ecb-954d-4151-9954-b9da755f31ce · outbound

This paper cites Tian, On Calabi’s conjecture for complex surfaces with positive first Chern class , Invent.

$\delta$-invariants of log Fano planes Tian, On Calabi’s conjecture for complex surfaces with positive first Chern class , Invent

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:17:12.798180Z

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=2026-08-07T13:17:10.878230Z digest=sha256:6c9a74fc7ab289a6cb74dd0a839b399788383a120737fd9d6356b559f62d49c5

Observation 46f0a9e2-761f-4475-82ed-4bccd9f1f10c · outbound

This paper cites Tian, S.-T.

$\delta$-invariants of log Fano planes Tian, S.-T

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:17:12.662505Z

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=2026-08-07T13:17:11.062016Z digest=sha256:0be811202944eef595f446a18697203245d482bc12afcc65cc9f12cb8fc8d1f1

Observation f2e77917-92be-44d6-a9c6-1a62871ef212 · outbound

This paper cites Tohoku Math.

$\delta$-invariants of log Fano planes Tohoku Math

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:17:12.516291Z

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=2026-08-07T13:17:11.147605Z digest=sha256:1a125c5a4eef893258395fc567976ae29daf226baf7b74c9a656a2d80d971853

Pith citing papers

Observation c785ac3f-eeea-481c-aac3-cafd60b7bd49 · inbound

Conical K\"ahler-Einstein metrics on K-unstable del Pezzo surfaces cites this paper.

Conical K\"ahler-Einstein metrics on K-unstable del Pezzo surfaces $\delta$-invariants of log Fano planes

Reference 12

Resolution
unresolved
no resolver link, observed 2026-08-04T20:26:21.189198Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T20:26:21.189198Z digest=sha256:f8fffba7dd84a9a6e1258d6283aff5b77a9bfec408397285840ae997fb7a3c82