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Paper Citation Record · LEDGER

Steenbrink vanishing theorem for big line bundles

As of 11 August 2026, this Paper Citation Record lists 32 of 32 outbound references and 0 inbound Pith citation observations for arXiv:2608.01519.

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

pith.paper-citation-record.v1
2608.01519 v1

Coverage vector

measured 32 of 32 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T00:12:40.405113Z

measured 32 of 32 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+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

32 of 32 outbound references displayed

  • verified exact5
  • verified fuzzy20
  • unresolved7
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 6ea146d9-a27d-442d-8c06-94a0eec0ce7d · outbound

This paper cites Akizuki and S.

Steenbrink vanishing theorem for big line bundles Akizuki and S

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T00:12:45.259071Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-06T00:12:37.699330Z digest=sha256:4ce41a8d991837efb2affa9e3b0d75329800ca363a65f2d8ec227f5b7d5512e3

Observation a9f73485-27ad-48a4-8737-535bdcd6ae23 · outbound

This paper cites an unresolved cited work.

Steenbrink vanishing theorem for big line bundles Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-06T00:12:45.086240Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-06T00:12:37.778731Z digest=sha256:63969f35e1d2957f66c306258aa162ff3ebac4a6286864d8e417fb59ea95a039

Observation 2c6e3c08-ba61-4fc1-8d08-6d417241c792 · outbound

This paper cites an unresolved cited work.

Steenbrink vanishing theorem for big line bundles Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-06T00:12:44.969147Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-06T00:12:37.905548Z digest=sha256:d77cc41cccb070136c5282726730499cea7f41f8db72759a0beead611c1f18d3

Observation 315e47cd-76bf-49de-a7cf-734878e27c63 · outbound

This paper cites Demailly, Singular Hermitian metrics on positive line bundles, Proc.

Steenbrink vanishing theorem for big line bundles Demailly, Singular Hermitian metrics on positive line bundles, Proc

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T00:12:44.839060Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-06T00:12:37.957909Z digest=sha256:73879173aef829115dacecd26b74c8c8ee81309e389f500d1d0f94b4be41d5ca

Observation a687f581-e63d-44df-b4e4-ec110b1ef569 · outbound

This paper cites Demailly, Analytic Methods in Algebraic Geometry, Surveys of Modern Mathematics, vol.

Steenbrink vanishing theorem for big line bundles Demailly, Analytic Methods in Algebraic Geometry, Surveys of Modern Mathematics, vol

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T00:12:44.724887Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-06T00:12:38.020640Z digest=sha256:723f3abda222c72696dc593cf4028509b6fffb830216c6107874d9e149be132c

Observation b3accf8f-1b61-4327-a400-33bd78a22602 · outbound

This paper cites Demailly, Complex analytic and differential geometry, https://www-fourier.ujf-grenoble.fr/ demailly/manuscripts/agbook.pdf.

Steenbrink vanishing theorem for big line bundles Demailly, Complex analytic and differential geometry, https://www-fourier.ujf-grenoble.fr/ demailly/manuscripts/agbook.pdf

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-06T00:12:38.077496Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T00:12:38.077496Z digest=sha256:8a6d81e771bd48839989ec5f6fa43d569a77f62031ed8e1f78271ad02375747f

Observation 81a415c5-4bab-4e87-8d1b-778d7401e7bc · outbound

This paper cites Demailly, T.

Steenbrink vanishing theorem for big line bundles Demailly, T

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T00:12:44.564489Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-06T00:12:38.177216Z digest=sha256:f42d8cf5ccd0f31728e442cf9b002f520997d0371541a25a2629f1cd32b51c50

Observation 0bd9ffec-fef3-40db-9d33-1f9ff3b99b5f · outbound

This paper cites Grauert, T.

Steenbrink vanishing theorem for big line bundles Grauert, T

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T00:12:44.424138Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-06T00:12:38.260935Z digest=sha256:471b9341aec61526636009c6669ad82ce00e901852faa8bf8d0dffe773b3a416

Observation bed18768-41d0-40f8-8442-b1a31a722859 · outbound

This paper cites Guan and X.

Steenbrink vanishing theorem for big line bundles Guan and X

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T00:12:44.266668Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-06T00:12:38.346304Z digest=sha256:439425cd26b039bf401aac357d51f3f9fe497f9965f737f64e23e329136571d1

Observation d61f79c6-c679-40c7-994c-bd5a9407dcf0 · outbound

This paper cites Hironaka, Resolution of singularities of an algebraic variety over a field of characteristic zero, Ann.

Steenbrink vanishing theorem for big line bundles Hironaka, Resolution of singularities of an algebraic variety over a field of characteristic zero, Ann

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T00:12:44.111163Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-06T00:12:38.437350Z digest=sha256:4fc765aa0abbbe874d16acfd2f6c26645e9ce1767c571add5370f11cb93743ab

Observation 88ad6df3-ca7c-432e-9727-aafabdb82a4e · outbound

This paper cites Huang, K.

Steenbrink vanishing theorem for big line bundles Huang, K

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T00:12:43.972489Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-06T00:12:38.511873Z digest=sha256:371595abeddc12859b82cfadf8c7831c0a9c4a6217e9d2b25bb52e70265d10b1

Observation 12aed580-3754-4ac7-b15f-db7c1347cf68 · outbound

This paper cites Kawamata, A generalization of Kodaira-Ramanujam's vanishing theorem, Math.

Steenbrink vanishing theorem for big line bundles Kawamata, A generalization of Kodaira-Ramanujam's vanishing theorem, Math

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T00:12:43.799580Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-06T00:12:38.614359Z digest=sha256:ec2cf74eb82a7f5c45bc7e9f4bf890388217ba20e6e9a8988ffee1139c0c1462

Observation 52571e1d-db83-4d67-882e-f393d9a469d3 · outbound

This paper cites Kawamata, Algebraic Varieties: Minimal Models and Finite Generation, Cambridge Studies in Advanced Mathematics, Cambridge University Press, 2024.

Steenbrink vanishing theorem for big line bundles Kawamata, Algebraic Varieties: Minimal Models and Finite Generation, Cambridge Studies in Advanced Mathematics, Cambridge University Press, 2024

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T00:12:43.652629Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-06T00:12:38.692053Z digest=sha256:511046fee0f7b85e40df77f7160f167657cab69d35f2241d8e069e381535e94a

Observation de999008-164e-4874-8f39-be5a31cf59f8 · outbound

This paper cites Kodaira, On a differential-geometric method in the theory of analytic stacks, Proc.

Steenbrink vanishing theorem for big line bundles Kodaira, On a differential-geometric method in the theory of analytic stacks, Proc

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T00:12:43.502969Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-06T00:12:38.791757Z digest=sha256:968b623e0f986c0a320e916d2f173c354ac2c5a5854d199981195e4af27e1726

Observation 3bb99618-e830-43d6-a02c-328c952b664e · outbound

This paper cites an unresolved cited work.

Steenbrink vanishing theorem for big line bundles Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-06T00:12:43.314292Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-06T00:12:38.883878Z digest=sha256:21ad378ce5454a97702902cc0dbe99126a2fe7ecefca2f94a5ece44550ecd902

Observation 37be8a90-32a6-4c49-8fab-a0f5b4b34329 · outbound

This paper cites Ma and G.

Steenbrink vanishing theorem for big line bundles Ma and G

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T00:12:43.210726Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-06T00:12:38.984355Z digest=sha256:04d51e773a9b9d6e66955e18dc5fe7c4f8724e24aefaf9ff5a9194c87efa93e4

Observation 7b779b15-ed70-4ecf-a3ed-b3a45d3af694 · outbound

This paper cites A Bogomolov type vanishing theorem.

Steenbrink vanishing theorem for big line bundles A Bogomolov type vanishing theorem

Reference 17

Resolution
verified exact
local_arxiv, observed 2026-08-06T00:12:41.571806Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-06T00:12:39.070222Z digest=sha256:9cefd74d2141cd6df8edadb21cd21b5b61b587396958f2b7a49913395c87b6e0

Observation 45a42d15-51e6-4553-99ba-ae916d9ecd63 · outbound

This paper cites Moishezon, On n -dimensional compact varieties with n algebraically independant meromorphic functions.

Steenbrink vanishing theorem for big line bundles Moishezon, On n -dimensional compact varieties with n algebraically independant meromorphic functions

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T00:12:43.034287Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-06T00:12:39.135329Z digest=sha256:8f0eb8176e720e2c61c3daf924851f4ef43cfb1f09001cf01b2b38f596d5efe9

Observation 62cb31e6-417e-4000-b7d9-724f65bddc1f · outbound

This paper cites an unresolved cited work.

Steenbrink vanishing theorem for big line bundles Unresolved cited work

Reference 19

Resolution
unresolved
raw_fallback, observed 2026-08-06T00:12:42.937760Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-06T00:12:39.208146Z digest=sha256:331820409c755c9484274c53edc0da70888cf8404a03bc960fc457af856e6446

Observation fd45b749-a5d7-441e-8c27-346c00cde09f · outbound

This paper cites Norimatsu, Kodaira vanishing theorem and Chern classes for -manifolds, Proc.

Steenbrink vanishing theorem for big line bundles Norimatsu, Kodaira vanishing theorem and Chern classes for -manifolds, Proc

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T00:12:42.785423Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-06T00:12:39.287695Z digest=sha256:c60634ae073cdf424a8a295d562b232d1e69228cb2ed5bfe4a35538bb8fc2834

Observation 16416c01-98c0-404b-b30c-6dc00a7d3ec8 · outbound

This paper cites an unresolved cited work.

Steenbrink vanishing theorem for big line bundles Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-08-06T00:12:42.584182Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-06T00:12:39.395041Z digest=sha256:12e7a1778ee30cb9e6c633908a6e26b0539f97d9d2d42ec66384232c286d869f

Observation 380931e6-a280-4f13-8f15-7a471f103379 · outbound

This paper cites Shiffman and A.

Steenbrink vanishing theorem for big line bundles Shiffman and A

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T00:12:42.429432Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-06T00:12:39.491743Z digest=sha256:52632c57d8326d9edd13a9e52f3720500dfec3cf9cc57cd20e0beee8d61e0c72

Observation a8d7dc5b-c64e-4257-a39e-2f69cdd85e15 · outbound

This paper cites an unresolved cited work.

Steenbrink vanishing theorem for big line bundles Unresolved cited work

Reference 23

Resolution
unresolved
raw_fallback, observed 2026-08-06T00:12:42.301956Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-06T00:12:39.598271Z digest=sha256:e75ce4f0d1d7a709db3c83442fa1983a91b18a480843ccc70adcb5a6917e59ac

Observation b0e0c94e-ec7f-492a-b5da-b41b67fcddd0 · outbound

This paper cites Viehweg, Vanishing theorems.

Steenbrink vanishing theorem for big line bundles Viehweg, Vanishing theorems

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T00:12:42.207926Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-06T00:12:39.661048Z digest=sha256:f570172a0778fbd67913aa881135736e854589225b9fc65b3c191307c38efc1a

Observation f82693c5-b4b6-4617-b1c9-5ca08c2c708b · outbound

This paper cites Watanabe, Bogomolov-Sommese type vanishing theorem for holomorphic vector bundles equipped with positive singular Hermitian metrics, Math.

Steenbrink vanishing theorem for big line bundles Watanabe, Bogomolov-Sommese type vanishing theorem for holomorphic vector bundles equipped with positive singular Hermitian metrics, Math

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T00:12:42.087755Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-06T00:12:39.778137Z digest=sha256:a7685dc55ddc56fa81c162922b33d51eaf76a7044c4d172311736ac466107e43

Observation 94aee43f-4021-4d7a-97b2-4229b570e94f · outbound

This paper cites Watanabe, Bigness of adjoint linear subsystem and approximation theorems with ideal sheaves on weakly pseudoconvex manifolds, arXiv:2412.02007v2.

Steenbrink vanishing theorem for big line bundles Watanabe, Bigness of adjoint linear subsystem and approximation theorems with ideal sheaves on weakly pseudoconvex manifolds, arXiv:2412.02007v2

Reference 26

Resolution
verified exact
raw_fallback, observed 2026-08-06T00:12:41.427012Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-06T00:12:39.848525Z digest=sha256:2001b2bd816810685806c050758d9bd42f745d2e67584f1ab84198d08395cd68

Observation b1f5521c-e791-49db-ba4c-620dc2bb5885 · outbound

This paper cites Watanabe, Nakano-Nadel type, Bogomolov-Sommese type vanishing and singular dual Nakano semi-positivity, Ann.

Steenbrink vanishing theorem for big line bundles Watanabe, Nakano-Nadel type, Bogomolov-Sommese type vanishing and singular dual Nakano semi-positivity, Ann

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T00:12:41.936114Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-06T00:12:39.919608Z digest=sha256:146400ce2bcd2f03d5e71581ab2c7fbd1c9178f0f4025a35094fdf24de8b0444

Observation d2b9c438-7b55-462c-b69f-38fff59f4b6d · outbound

This paper cites Watanabe, Global embeddings of weakly pseudoconvex complex spaces and refined approximation theorems, arXiv:2512.03572v3.

Steenbrink vanishing theorem for big line bundles Watanabe, Global embeddings of weakly pseudoconvex complex spaces and refined approximation theorems, arXiv:2512.03572v3

Reference 28

Resolution
verified exact
raw_fallback, observed 2026-08-06T00:12:41.151763Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-06T00:12:39.997276Z digest=sha256:a3f202161971e7731fc2bfe7dc66edf4a8bc0dc42419dd6525ba68af7675ec6d

Observation 42b2c93a-a585-4dd0-bb98-b50b0ce0df19 · outbound

This paper cites Watanabe, L^2 -Dolbeault isomorphisms and vanishing theorems for logarithmic sheaves twisted by multiplier ideal sheaves, Math.

Steenbrink vanishing theorem for big line bundles Watanabe, L^2 -Dolbeault isomorphisms and vanishing theorems for logarithmic sheaves twisted by multiplier ideal sheaves, Math

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T00:12:41.782784Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-06T00:12:40.125947Z digest=sha256:0ac9778025f942280b149274b0a72d4c92d5043827e95342db4f9f0ff9737367

Observation decd1800-b907-4ff6-b077-3d57f9b6ce78 · outbound

This paper cites $L^2$-Dolbeault resolutions and Nadel vanishing on weakly pseudoconvex complex spaces with singular Hermitian metrics.

Steenbrink vanishing theorem for big line bundles $L^2$-Dolbeault resolutions and Nadel vanishing on weakly pseudoconvex complex spaces with singular Hermitian metrics

Reference 30

Resolution
verified exact
local_arxiv, observed 2026-08-06T00:12:40.800609Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-06T00:12:40.220649Z digest=sha256:efd414e7fa7c5fe9a003b31802c32db12e1ede3ff78a5538a6d93760b90d55c4

Observation 68f50e53-ec80-4e47-81b4-5d51c33d9bd5 · outbound

This paper cites Griffiths and Nakano positivity and Nakano-Nadel vanishing theorems for singular Hermitian metrics on complex spaces.

Steenbrink vanishing theorem for big line bundles Griffiths and Nakano positivity and Nakano-Nadel vanishing theorems for singular Hermitian metrics on complex spaces

Reference 31

Resolution
verified exact
local_arxiv, observed 2026-08-06T00:12:40.657225Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-06T00:12:40.347014Z digest=sha256:6a5153d82540c6f9b9aaa66098c4ab15b650a578a2f44c266ed9c056b755e7e9

Observation 34d88f87-f827-49da-ad16-7ee558388b74 · outbound

This paper cites Zucker, Hodge theory with degenerating coefficients: L^2 cohomology in the Poincar\'e metric, Ann.

Steenbrink vanishing theorem for big line bundles Zucker, Hodge theory with degenerating coefficients: L^2 cohomology in the Poincar\'e metric, Ann

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T00:12:41.639241Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-06T00:12:40.405113Z digest=sha256:1cc8b5692e6c0b1c5e6db51c7fe0f2836307fde11237ae7e574a054001a7ea62

Pith citing papers

No inbound Pith citation observations are available.