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Paper Citation Record · LEDGER

Steenbrink vanishing theorem for big line bundles

As of 21 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 2026-08-21T06:32:19.484+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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-06T00:12:37.699330Z digest=sha256:a35764859363562588c04eb0d1b311629d9a502673cfea2b031b49d1610da3aa

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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-06T00:12:37.778731Z digest=sha256:5af9be2eaf5a3baa8342a213c0599a162a54424e27b4cef47b9b8a57bb6d0941

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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-06T00:12:37.905548Z digest=sha256:c8fd9bd75b9c3b90b42ef6a1161c0af56a7451429be98c2fd26bb4c418a07b4d

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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-06T00:12:37.957909Z digest=sha256:f4ae79582fc3b958f61ad64dc821636d0b44df425b593fbe56ee781677140798

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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-06T00:12:38.020640Z digest=sha256:9b2e06e9c74fa2490072de49eaf07eac6ec3c65a07a9ecd6ee837ac5357d94d7

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=sha256:05c54dc8f0d8beaf8fa44f181f7d89298402e2d97fdbc7896256833e4d96823b

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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-06T00:12:38.177216Z digest=sha256:5a8e6f83bab2f27b7c2df1d5efbdcf50539234d610dcd19650b61d9c8e7acb43

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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-06T00:12:38.260935Z digest=sha256:d82b5c3a7446911f168a60ffd45ff54aa940bc99048e289d1bc4773926cda7e8

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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-06T00:12:38.346304Z digest=sha256:38651993a5e58aa57cc0ecc6f51eaa3debfbf7e8f55f3004ee800265ff149225

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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-06T00:12:38.437350Z digest=sha256:f0cb3b2ac617e5876c757ecde23652321b67a0bb5e4c73764bfc2404b21d183d

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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-06T00:12:38.511873Z digest=sha256:dc59af89b5b5f9c66f383ccf8ae2ee56167183bb0b25676186efba182b180c6a

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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-06T00:12:38.614359Z digest=sha256:1079e6d66d4e8f7140c0b5eb8a8ee4ffd0f1c46bc547c6b78e38c2ab8e277c88

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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-06T00:12:38.692053Z digest=sha256:644ae00fb1b128a23aab3aa2c2321e08bb91b60b83e05862e26187de2bfc34f2

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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-06T00:12:38.791757Z digest=sha256:8eb449561b89379429afc9f2622794ab9f3ddeccc6d7de4bc3b64a1c9475ff06

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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-06T00:12:38.883878Z digest=sha256:aefe9d8410b70696b85683bb6f087469f8dc2503d88d9032636557e03e94d980

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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-06T00:12:38.984355Z digest=sha256:6789f653be7734947b45d41042bd8fd5f3c6f9f30a3496011fccffa5bdf69a2b

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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-06T00:12:39.070222Z digest=sha256:cb82d72c4f5f8c6f5bc20d135e7adbc5204ecf07ce45e086dc27cde114273708

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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-06T00:12:39.135329Z digest=sha256:423715a60102c9c804edf9d8a48a6313215efacd61854e048ed7b076f216db2c

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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-06T00:12:39.208146Z digest=sha256:acb328e92fddc4defa01ce7371d4cb173ca25e1178dcd8f47043eb20dd433703

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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-06T00:12:39.287695Z digest=sha256:91ddbeeeebbdcf360c5844ca243e2218433bb99a9f137a3ad2d1a3e8c52902aa

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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-06T00:12:39.395041Z digest=sha256:06ea34f378863cc1b8be2949c050850923917271159603456f4fcd720e7b86a7

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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-06T00:12:39.491743Z digest=sha256:f9c76e3145cffd21777d1fc2cefcd2e700d7f57ff50d081d6f4d5b77b36e9645

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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-06T00:12:39.598271Z digest=sha256:768c2660244869eceb4b04650b5641286fc404d6f32ffe99fc67359df2412a55

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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-06T00:12:39.661048Z digest=sha256:fc099461225c8be57eb38b22621fad8300d80a4e6d8b9fcf59d3241a069925e4

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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-06T00:12:39.778137Z digest=sha256:497ebb98b415f90f5e3964ac1b181f01c33ac44e6215b597e4f622593b947376

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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-06T00:12:39.848525Z digest=sha256:0d3b14b7d8e9a257c5b048255a7f0786a6b69b25f344045fd5ec9908986dc004

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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-06T00:12:39.919608Z digest=sha256:1746147737272b25fc6bc7bea3e9278141657226be48d31162ef5ab7ef3dd9d9

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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-06T00:12:39.997276Z digest=sha256:c31f679a22f47b932a48bc7c8ab6d269c3d17989b4e7e6c1f3c7f7cf2bb49e1f

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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-06T00:12:40.125947Z digest=sha256:eae490a3f046ea6b417ca5936e208307ee73e90056fe30f4a8352cd51f9bea97

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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-06T00:12:40.220649Z digest=sha256:30c4d42e6f3db66017ce9800b0209e960622f4380c46ae13b58ca7f8c416d990

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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-06T00:12:40.347014Z digest=sha256:a4b5587678a4fa69c9e4d611d9ab736d3b571982304425dba4689f2dbdaf8b9a

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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-06T00:12:40.405113Z digest=sha256:0fbeff157a967fdd456847fc499e52c510e65e1c6e77e479ec589fa6d5f547fd

Pith citing papers

No inbound Pith citation observations are available.