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Paper Citation Record · LEDGER

$\delta$-invariants of log Fano planes

As of 8 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 2026-08-08T06:32:00.761636+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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:17:08.070962Z digest=sha256:a84b26c7f94bf23025d57da95cab320f5ff141e7b8a39b02d0f7e3480277ddd2

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:17:08.135235Z digest=sha256:7045d3d3f4a5d91011a0f5b18ceb6abc7bc37a7a6f485e0e27f71b94d4113e54

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:17:08.268138Z digest=sha256:b9265ca26032d03b8996f757e005b3617b26b62a3358f81114f13926e0cb9d76

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:17:08.420422Z digest=sha256:9766e0290a93fdf56fc60246e1127d99d34606114aefa8896f73bc5471eef8af

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:17:08.533031Z digest=sha256:3ea825b27c1da37bb8dc1a91a1f8434322da6539a8b222c697fdafa6a81030ef

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:17:08.610114Z digest=sha256:09747efc4599696e7a5f6eea22c9ec246d57fb2409af1ea697753c51fb969be3

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:17:08.729795Z digest=sha256:3ec292cc4a9d7e3af09180331b96617532d4a773c4958837b9760f360df1dc21

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:17:08.855315Z digest=sha256:d8e2616727a5383ce413cb04e0fab5a9789388f22fb7f84618ae6ce840238d10

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:17:08.961277Z digest=sha256:804bfa8c4c41332f53f3dcd51a4b91a09ee2a2a337b0b240033490d41126ef5d

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:17:09.042956Z digest=sha256:1ff8e5ea908682030892964c0ba167f5b380866d887a258f70b5be4a0888d843

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:17:09.168081Z digest=sha256:bcfb371b00615f1786cf02f64c6c355fedf397fc6ee5e0ba61e1367d22203106

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:17:09.282683Z digest=sha256:412175ebc3ffbae591398bbec01cca6505c3f1819cf1744d8836171c245fd9c3

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:17:09.426237Z digest=sha256:50f73d40675547e75d8ed12f74abcf9b3a2b5ca0d90010e37da4074fade69c28

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=sha256:3754171ca9f0b789d1755cd04f8a90db136d7059f9a770417d3d9e62e13902b2

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:17:09.616969Z digest=sha256:c9ea515a97b686c6bbd546485aaa487f399e70d377cf58937ea3c5e63dbec132

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:17:09.702373Z digest=sha256:39dd99e1f20da787760628a4452b62d97568e2961bcdccf5a5f59725b55f3054

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:17:09.813378Z digest=sha256:aa08fa96b648e997ceca74853a154aa8939abd469aef87ced84e82ac5cdb18aa

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:17:09.889023Z digest=sha256:243f9da4db4335447f3fdc90eb6c7c04846125cc81d9c04aed7e11fedafcd6a3

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:17:09.976619Z digest=sha256:31f69ccf013b6c7338be85db6e028f5045d1a0b309afecca6bfa7e580f41f6ab

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:17:10.060526Z digest=sha256:6b30ac8d62231d6b24f323e9930848ae27a72640aa57245061687d49faa1db16

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:17:10.163553Z digest=sha256:5123b8c5440f6cfba8cff5c56d241da989ea1a68683359347935e0eaa036163d

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:b248cd812baeb35cf0351c779ccdec41ffc25d9f613cb57b74939e86175cf710

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:17:10.393891Z digest=sha256:d8d9fe5b0fd5f2ec86526201752ff0ef6cc8c31631894561762f8d15b05d650c

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:17:10.515137Z digest=sha256:a3a993c0697cacbcb9babe418eeb02b441b8b849dec1ba563bf422eddfe1d9a0

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:17:10.633013Z digest=sha256:af0beffb609af1a5e4b893aec732ca223932cc64e9db5ce9131b40f038488ac7

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:17:10.717350Z digest=sha256:805723234bdfecbd5a4decd0e4259fa2a358e1f70185e4a4e28f5cf06b88e844

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:17:10.763965Z digest=sha256:06384a47ee9161d688ecdae280aae6a9caea2b40f9c3b25ff9b0a35766420c4b

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:17:10.878230Z digest=sha256:fac58732d3c6024de41781b93858b9ed0c0eef43f08f4cb629b226a1d1f0d97c

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:17:11.062016Z digest=sha256:801561de480ae78a670f2e0637a25ec101f9ea87ca7ea9179721576a953e29d3

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:17:11.147605Z digest=sha256:841d3f6279ed0af384b0033805c190c743610f8899c37be232dbf05ee56f7ac1

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:dd15368186b7e72e4b1017a06004f629a71e3637b1e95c3c018ef316dc1198f8