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Paper Citation Record · LEDGER

The cohomological Kudla conjecture for unitary Shimura varieties

As of 12 August 2026, this Paper Citation Record lists 27 of 27 outbound references and 1 inbound Pith citation observation for arXiv:2507.13299.

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

pith.paper-citation-record.v1
2507.13299 v2

Coverage vector

measured 27 of 27 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T16:37:09.934604Z

measured 28 of 28 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 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-02T17:33:20.767598Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

27 of 27 outbound references displayed

  • verified exact4
  • verified fuzzy19
  • unresolved4
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation d707e89d-4ad2-4bb9-b53b-f1334e71a571 · outbound

This paper cites Smooth compactifications of locally symmetric varieties.

The cohomological Kudla conjecture for unitary Shimura varieties Smooth compactifications of locally symmetric varieties

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:37:14.881066Z

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=2026-08-06T16:37:08.092349Z digest=sha256:7d10af6f299384f582e1c171e3a18f621b35458dff880059294b888c525c359f

Observation 88e5172f-a617-4a2a-9d94-c9bc7b26b83d · outbound

This paper cites an unresolved cited work.

The cohomological Kudla conjecture for unitary Shimura varieties Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-06T16:37:14.589129Z

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=2026-08-06T16:37:08.167185Z digest=sha256:42b0cdcad6bdc1f44646d8bb49d582d9b0f6967deac67e016f9f94088d852200

Observation 3bdc7ec6-dc9b-4385-be7e-ef71c71ada72 · outbound

This paper cites Bruinier, Benjamin Howard, Stephen S.

The cohomological Kudla conjecture for unitary Shimura varieties Bruinier, Benjamin Howard, Stephen S

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:37:14.435077Z

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=2026-08-06T16:37:08.232742Z digest=sha256:a54495a2275d43c07a0908b760b92e1ba8b178491eee9647d8c105423d151a62

Observation c23ca6fb-c578-461b-843a-6d52aea4021f · outbound

This paper cites Borcherds.

The cohomological Kudla conjecture for unitary Shimura varieties Borcherds

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:37:14.243461Z

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=2026-08-06T16:37:08.307168Z digest=sha256:679e96c85dfc3746457a2cd3e1bd528f9716bc00c693b6bfce6abf8fd2456e20

Observation 508a469e-e8c8-4ef9-9940-982250b67e13 · outbound

This paper cites Borcherds.

The cohomological Kudla conjecture for unitary Shimura varieties Borcherds

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:37:14.021710Z

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=2026-08-06T16:37:08.373469Z digest=sha256:19bc8dcf53cf923f2ca430556df9555bedc354e890fd232b6c720ee9392edb13

Observation 75627493-62d5-4db6-99f0-1aa4d37e2ad2 · outbound

This paper cites Modularity of special 0-cycles on toroidal compactifications of Shimura Varieties.

The cohomological Kudla conjecture for unitary Shimura varieties Modularity of special 0-cycles on toroidal compactifications of Shimura Varieties

Reference 6

Resolution
verified exact
local_arxiv, observed 2026-08-06T16:37:10.403186Z

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=2026-08-06T16:37:08.451391Z digest=sha256:6f90b355272e959090d86b0e62e5e5c8d809ec957efeb4f198ecac3b03476bf6

Observation 686d9b72-af32-433d-aaba-fb274ee98e38 · outbound

This paper cites Kudla's modularity conjecture and formal Fourier - Jacobi series.

The cohomological Kudla conjecture for unitary Shimura varieties Kudla's modularity conjecture and formal Fourier - Jacobi series

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:37:13.873249Z

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=2026-08-06T16:37:08.535833Z digest=sha256:554fcd21d4639841c28f09f42ec2458c74397a5dd34257c1c13982606783b2c5

Observation 891114c9-eb7f-44fc-b553-d6343bb5d436 · outbound

This paper cites Special Cycles on Toroidal Compactifications of Orthogonal Shimura Varieties.

The cohomological Kudla conjecture for unitary Shimura varieties Special Cycles on Toroidal Compactifications of Orthogonal Shimura Varieties

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:37:13.715008Z

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=2026-08-06T16:37:08.601710Z digest=sha256:78f575facccdd7df25402f782985de89c761f9d4852bf858741846b84867e663

Observation 0cff0707-0f21-4d26-9156-6fc516f244b3 · outbound

This paper cites an unresolved cited work.

The cohomological Kudla conjecture for unitary Shimura varieties Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-06T16:37:13.436837Z

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=2026-08-06T16:37:08.649930Z digest=sha256:56f0a175f3f22f202fa109f9e134bcf735e000082870cd82d3364c9aad92f1ea

Observation 34e572db-eb75-4769-bf5d-45ebaa5f76db · outbound

This paper cites Mixed mock modularity of special divisors.

The cohomological Kudla conjecture for unitary Shimura varieties Mixed mock modularity of special divisors

Reference 10

Resolution
verified exact
local_arxiv, observed 2026-08-06T16:37:10.275473Z

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=2026-08-06T16:37:08.731764Z digest=sha256:5770d1dd347989815ca71b741dd9b5614956e6db507b04a3923846ca143c0589

Observation e4281da7-88a9-4ff0-9597-7491bd75b651 · outbound

This paper cites Modularity of cycles in compactified orthogonal shimura varieties.

The cohomological Kudla conjecture for unitary Shimura varieties Modularity of cycles in compactified orthogonal shimura varieties

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:37:13.253237Z

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=2026-08-06T16:37:08.845735Z digest=sha256:204a5294e5ff51684199aa5d746c38a86466d35c41a68d85833ff9802dfb6053

Observation 0bd68400-14dc-443a-be75-8b5a372d5f61 · outbound

This paper cites Kudla-Millson forms and one-variable degenerations of Hodge structure.

The cohomological Kudla conjecture for unitary Shimura varieties Kudla-Millson forms and one-variable degenerations of Hodge structure

Reference 12

Resolution
verified exact
local_arxiv, observed 2026-08-06T16:37:10.160729Z

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=2026-08-06T16:37:08.942175Z digest=sha256:8b45a4cdad061d22970bf209bc58dc07ad69503cc1aa59e7bb20bd5a07484d53

Observation 233e3e2b-06cf-4390-adaf-7cab5936c65a · outbound

This paper cites Quasi-modular forms from mixed Noether - Lefschetz theory.

The cohomological Kudla conjecture for unitary Shimura varieties Quasi-modular forms from mixed Noether - Lefschetz theory

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:37:13.090640Z

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=2026-08-06T16:37:08.998250Z digest=sha256:e1ec6027d15724c64b8638f3fa5ea938b153980e003bb4263a0812834e0038fe

Observation 21f054f3-bd28-4289-afd9-c5d0d83103a6 · outbound

This paper cites Complex multiplication cycles and Kudla - Rapoport divisors.

The cohomological Kudla conjecture for unitary Shimura varieties Complex multiplication cycles and Kudla - Rapoport divisors

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:37:12.835556Z

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=2026-08-06T16:37:09.076919Z digest=sha256:d77ab38b7dbf042fc62fea3449796f293d1c055f461e71dd0f8021565bee4641

Observation 219f04bf-0fe0-4130-b9fa-5f9862933d9b · outbound

This paper cites Hirzebruch and D.

The cohomological Kudla conjecture for unitary Shimura varieties Hirzebruch and D

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:37:12.164166Z

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=2026-08-06T16:37:09.146587Z digest=sha256:fbc0eb9b83d9f29616c48d387abd8d72d18950f36ae7237a33f93aae538fb1ca

Observation 9fe7da70-2dc3-4fdd-a78a-a338d0ac5e2a · outbound

This paper cites Kudla and John J.

The cohomological Kudla conjecture for unitary Shimura varieties Kudla and John J

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:37:11.924397Z

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=2026-08-06T16:37:09.203804Z digest=sha256:0e8712119c90f715d5102f2904f13d2ebf9e8b3382b0615c9e399e81e754e6e6

Observation d44cf21d-5375-4cc2-a3ca-f8fa2db51742 · outbound

This paper cites Special cycles on unitary Shimura varieties.

The cohomological Kudla conjecture for unitary Shimura varieties Special cycles on unitary Shimura varieties

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:37:11.782056Z

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=2026-08-06T16:37:09.230574Z digest=sha256:b4284072ecb27c128cf564a41f0fae308b4b550c43fa5d32bd669b326b99300e

Observation af91af92-77a8-4766-ada5-977c281cb41a · outbound

This paper cites an unresolved cited work.

The cohomological Kudla conjecture for unitary Shimura varieties Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-06T16:37:11.655190Z

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=2026-08-06T16:37:09.303086Z digest=sha256:e977bf927ad62bbac97989118490feb39b9341183ada0463e5c6d186f27baa7f

Observation 6a95a2f2-d9e3-459c-8ae7-c37d399a6d28 · outbound

This paper cites Kashiwara and M.

The cohomological Kudla conjecture for unitary Shimura varieties Kashiwara and M

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:37:11.454361Z

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=2026-08-06T16:37:09.358863Z digest=sha256:a3491c4033a018c47a9d9624ea68e88f49ebc5c0a8cdc3a834ffa27991b2e3fd

Observation b00fc2f5-41ef-467c-8bb0-01084cad8521 · outbound

This paper cites Arithmetic theta lifting and \(L\) -derivatives for unitary groups.

The cohomological Kudla conjecture for unitary Shimura varieties Arithmetic theta lifting and \(L\) -derivatives for unitary groups

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:37:11.251112Z

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=2026-08-06T16:37:09.434289Z digest=sha256:c7ae3fff837085266f50989a060be62b845972069e2f9423c17b6d8a888ed4bf

Observation 8fcc2e96-6861-492b-88a2-ac61c5c75295 · outbound

This paper cites Murasaki.

The cohomological Kudla conjecture for unitary Shimura varieties Murasaki

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:37:11.061675Z

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=2026-08-06T16:37:09.502865Z digest=sha256:9f6cc44910b663ce04a4ec19d35f8d00e7825871c9b8f6bd14436315b6e07edb

Observation 5bd9adf5-f736-4467-814e-13adb250473b · outbound

This paper cites Siegel theta series for indefinite quadratic forms.

The cohomological Kudla conjecture for unitary Shimura varieties Siegel theta series for indefinite quadratic forms

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:37:10.955860Z

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=2026-08-06T16:37:09.564993Z digest=sha256:f0cc6a4de8c0f0442b703b42c7118f6acd271278a16f5368e2ec0c342ddf5e32

Observation 8e1bd4bd-5fb7-4632-bec4-346d30c733d0 · outbound

This paper cites an unresolved cited work.

The cohomological Kudla conjecture for unitary Shimura varieties Unresolved cited work

Reference 23

Resolution
unresolved
raw_fallback, observed 2026-08-06T16:37:10.860411Z

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=2026-08-06T16:37:09.639550Z digest=sha256:8871bfe28a3d849c7be33b1c079db8c14b012d574ba40ac492e25cc574090887

Observation 7a40c30c-65af-46d5-a573-86687271d39d · outbound

This paper cites Some cases of Kudla 's modularity conjecture for unitary Shimura varieties.

The cohomological Kudla conjecture for unitary Shimura varieties Some cases of Kudla 's modularity conjecture for unitary Shimura varieties

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:37:10.769824Z

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=2026-08-06T16:37:09.715185Z digest=sha256:95f8da3aad7156bb591f0838d89f69ee0a858871d905514142070e17388f76eb

Observation b54be0d7-1d8f-4e09-8197-a608a5f7ac8f · outbound

This paper cites The Gross - Kohnen - Zagier theorem over totally real fields.

The cohomological Kudla conjecture for unitary Shimura varieties The Gross - Kohnen - Zagier theorem over totally real fields

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:37:10.624216Z

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=2026-08-06T16:37:09.805642Z digest=sha256:be85d4bb9e81ee9302d985b7a54499cc685e5c3850ccba652110196531009a97

Observation 8d4ef962-a2dd-4aed-9223-d57581c4f0d5 · outbound

This paper cites Hermitian Jacobi Forms Having Modules as their Index and Vector-Valued Jacobi Forms.

The cohomological Kudla conjecture for unitary Shimura varieties Hermitian Jacobi Forms Having Modules as their Index and Vector-Valued Jacobi Forms

Reference 26

Resolution
verified exact
local_arxiv, observed 2026-08-06T16:37:10.052006Z

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=2026-08-06T16:37:09.868604Z digest=sha256:76f00d6a7e202da737998715a32f6033adf7856cdb39551be49be5979ad204f2

Observation 7ab32eec-db0b-4624-b810-166710310d5b · outbound

This paper cites Modularity of generating functions of special cycles on Shimura varieties.

The cohomological Kudla conjecture for unitary Shimura varieties Modularity of generating functions of special cycles on Shimura varieties

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:37:10.521770Z

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=2026-08-06T16:37:09.934604Z digest=sha256:a9b62b7675c35034ef799c62db6ae17cacfc531446565951126cc449b6a9f9ac

Pith citing papers

Observation ce7cf23a-7398-4d95-bec6-366042d0b1c6 · inbound

Weighted Cohomology, Hodge Theory and Intersection Cohomology of Shimura varieties cites this paper.

Weighted Cohomology, Hodge Theory and Intersection Cohomology of Shimura varieties The cohomological Kudla conjecture for unitary Shimura varieties

Reference 14

Resolution
unresolved
no resolver link, observed 2026-08-02T17:33:20.767598Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T17:33:20.767598Z digest=sha256:4e2bfe1577985d1d73c1b3ff83fc09c168068be16acaaf814a0fc2a02369fdaf