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Paper Citation Record · LEDGER

Constructing stable Hilbert bundles via Diophantine approximation

As of 11 August 2026, this Paper Citation Record lists 51 of 51 outbound references and 0 inbound Pith citation observations for arXiv:2501.15784.

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

pith.paper-citation-record.v1
2501.15784 v3

Coverage vector

measured 51 of 51 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T14:05:55.502995Z

measured 51 of 51 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

51 of 51 outbound references displayed

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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 7937928f-d0d3-44d4-9b3b-09182b8cdd01 · outbound

This paper cites Atiyah and Raoul Bott.

Constructing stable Hilbert bundles via Diophantine approximation Atiyah and Raoul Bott

Reference 1

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Observation b5543b8b-4a9a-40d4-8daa-a3f8d7d40a09 · outbound

This paper cites Geometric quantization of Chern - Simons gauge theory.

Constructing stable Hilbert bundles via Diophantine approximation Geometric quantization of Chern - Simons gauge theory

Reference 2

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Observation 875b5877-ca56-489a-8883-444918139ab6 · outbound

This paper cites Mapping theorems for sobolev spaces of vector-valued functions.

Constructing stable Hilbert bundles via Diophantine approximation Mapping theorems for sobolev spaces of vector-valued functions

Reference 3

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Constructing stable Hilbert bundles via Diophantine approximation Unresolved cited work

Reference 4

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Observation a4925abb-b7a3-4670-8dec-70c60bc7675c · outbound

This paper cites Bargmann.

Constructing stable Hilbert bundles via Diophantine approximation Bargmann

Reference 5

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

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Observation 98c8a8b8-8a83-425b-9e31-d38a10677a56 · outbound

This paper cites an unresolved cited work.

Constructing stable Hilbert bundles via Diophantine approximation Unresolved cited work

Reference 6

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Observation bb320dcc-91ee-4dcf-9a77-76d1499ffb50 · outbound

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Constructing stable Hilbert bundles via Diophantine approximation Unresolved cited work

Reference 7

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Observation 4b44ef53-e010-437d-864a-3bc359d11400 · outbound

This paper cites Curvature of vector bundles associated to holomorphic fibrations.

Constructing stable Hilbert bundles via Diophantine approximation Curvature of vector bundles associated to holomorphic fibrations

Reference 8

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

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Observation 50d24f38-0e55-4c43-899e-490805c0b379 · outbound

This paper cites Strict and nonstrict positivity of direct image bundles.

Constructing stable Hilbert bundles via Diophantine approximation Strict and nonstrict positivity of direct image bundles

Reference 9

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Observation 168bc714-f2a7-46f8-ad5a-f64ea797c0b8 · outbound

This paper cites Bierstedt.

Constructing stable Hilbert bundles via Diophantine approximation Bierstedt

Reference 10

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

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Observation ac5d6219-23fb-4078-8818-e0acc1c8fce7 · outbound

This paper cites A proof of the Ohsawa - Takegoshi theorem with sharp estimates.

Constructing stable Hilbert bundles via Diophantine approximation A proof of the Ohsawa - Takegoshi theorem with sharp estimates

Reference 11

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Observation b96f5f71-4936-4d7f-9540-a398a091c706 · outbound

This paper cites Stability conditions on triangulated categories.

Constructing stable Hilbert bundles via Diophantine approximation Stability conditions on triangulated categories

Reference 12

Resolution
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation ec3bdc6f-148e-442c-ae2d-d2fa195c5ba0 · outbound

This paper cites Th \'e orie de la dualit \'e et analyse harmonique dans les groupes abeliens localement compacts.

Constructing stable Hilbert bundles via Diophantine approximation Th \'e orie de la dualit \'e et analyse harmonique dans les groupes abeliens localement compacts

Reference 13

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

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Observation e61d1730-f865-405e-854e-bd1c67efe7a9 · outbound

This paper cites Noncommutative geometry.

Constructing stable Hilbert bundles via Diophantine approximation Noncommutative geometry

Reference 14

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Observation 0244c6a4-6840-4f3c-9650-7cbfea180fb3 · outbound

This paper cites Bergman bundles and applications to the geometry of compact complex manifolds.

Constructing stable Hilbert bundles via Diophantine approximation Bergman bundles and applications to the geometry of compact complex manifolds

Reference 15

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

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Observation e12031b9-2ba8-40ff-8d4c-34bf9fc90602 · outbound

This paper cites Continuum envelops on Fargues-Fontaine curves and elliptic curves.

Constructing stable Hilbert bundles via Diophantine approximation Continuum envelops on Fargues-Fontaine curves and elliptic curves

Reference 16

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

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Observation 5a240293-f1dc-4be0-b83d-968050ef48af · outbound

This paper cites an unresolved cited work.

Constructing stable Hilbert bundles via Diophantine approximation Unresolved cited work

Reference 17

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Observation 7ec26e66-8f21-48f6-abc8-12e08b0d29dc · outbound

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Constructing stable Hilbert bundles via Diophantine approximation Unresolved cited work

Reference 18

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Observation bcc473d9-e594-4960-8953-5bc1741f41b8 · outbound

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Constructing stable Hilbert bundles via Diophantine approximation Unresolved cited work

Reference 19

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Observation 7e47eec6-4118-48b1-a20e-8c8f069b344a · outbound

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Constructing stable Hilbert bundles via Diophantine approximation Unresolved cited work

Reference 20

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

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Observation 6b910824-7eb0-4ca7-b42c-69837382a3ef · outbound

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Constructing stable Hilbert bundles via Diophantine approximation Unresolved cited work

Reference 21

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

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Observation 285e9918-9baa-4f7b-a57a-4f47ebda557a · outbound

This paper cites Infinite-dimensional vector bundles in algebraic geometry: an introduction.

Constructing stable Hilbert bundles via Diophantine approximation Infinite-dimensional vector bundles in algebraic geometry: an introduction

Reference 22

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This paper cites Courbes et fibr \'e s vectoriels en th \'e orie de Hodge \(p\) -adique , volume 406 of Ast \'e risque.

Constructing stable Hilbert bundles via Diophantine approximation Courbes et fibr \'e s vectoriels en th \'e orie de Hodge \(p\) -adique , volume 406 of Ast \'e risque

Reference 23

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Observation 2fe44a86-4f95-4bb6-8edc-f9951a2c54bd · outbound

This paper cites Trudinger.

Constructing stable Hilbert bundles via Diophantine approximation Trudinger

Reference 24

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Observation 73edf5b9-bcb0-4a1d-af8d-ad80256e074b · outbound

This paper cites A solution of an \(L^ 2 \) extension problem with an optimal estimate and applications.

Constructing stable Hilbert bundles via Diophantine approximation A solution of an \(L^ 2 \) extension problem with an optimal estimate and applications

Reference 25

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Observation 84b72830-92ce-46c1-b287-8ea48cf24fcb · outbound

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Constructing stable Hilbert bundles via Diophantine approximation Unresolved cited work

Reference 26

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Observation c11aacfd-6889-42e5-9db6-556d476dc8d2 · outbound

This paper cites Geodesic Rays in the Donaldson--Uhlenbeck--Yau Theorem.

Constructing stable Hilbert bundles via Diophantine approximation Geodesic Rays in the Donaldson--Uhlenbeck--Yau Theorem

Reference 27

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Unavailable: canonical work link unavailable.

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Observation 4c504d1d-320c-404c-aab0-0de22fd86ed8 · outbound

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Constructing stable Hilbert bundles via Diophantine approximation Unresolved cited work

Reference 28

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

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Observation 62228af2-d663-4c6f-a59c-15a721918bd6 · outbound

This paper cites The convenient setting of global analysis , volume 53.

Constructing stable Hilbert bundles via Diophantine approximation The convenient setting of global analysis , volume 53

Reference 29

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

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Observation 4093e5c1-b00b-48a3-b9ff-83e6d91f3d3b · outbound

This paper cites Stability structures, motivic Donaldson-Thomas invariants and cluster transformations.

Constructing stable Hilbert bundles via Diophantine approximation Stability structures, motivic Donaldson-Thomas invariants and cluster transformations

Reference 30

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation a914d884-cc66-4b66-819f-e436a9ceb194 · outbound

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Constructing stable Hilbert bundles via Diophantine approximation Unresolved cited work

Reference 31

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

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Observation a1544b3f-2a0c-4f61-a5ed-844b09314300 · outbound

This paper cites Introduction to diophantine approximations.

Constructing stable Hilbert bundles via Diophantine approximation Introduction to diophantine approximations

Reference 32

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

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Observation 9f7413a3-21e6-4336-b993-7abb96d4d639 · outbound

This paper cites Filtrations and torsion pairs in A bramovich- P olishchuk's heart.

Constructing stable Hilbert bundles via Diophantine approximation Filtrations and torsion pairs in A bramovich- P olishchuk's heart

Reference 33

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

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Observation ae160bbd-7c08-49e1-8140-752343033e7d · outbound

This paper cites Different hearts on elliptic curves.

Constructing stable Hilbert bundles via Diophantine approximation Different hearts on elliptic curves

Reference 34

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

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Observation ea6360d1-4d92-4bfb-928f-e4c0229c8540 · outbound

This paper cites Direct images, fields of Hilbert spaces, and geometric quantization.

Constructing stable Hilbert bundles via Diophantine approximation Direct images, fields of Hilbert spaces, and geometric quantization

Reference 35

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

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Observation 404deac1-cac0-416a-9944-8edd49f9e04e · outbound

This paper cites Malgrange and R.

Constructing stable Hilbert bundles via Diophantine approximation Malgrange and R

Reference 36

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

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Observation e0ff7a73-763b-4d8d-a6a4-200b19196d31 · outbound

This paper cites A partial regularity result for a class of stationary Yang - Mills fields in high dimension.

Constructing stable Hilbert bundles via Diophantine approximation A partial regularity result for a class of stationary Yang - Mills fields in high dimension

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T14:05:55.743868Z

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=2026-08-10T14:05:55.457754Z digest=sha256:48b39d8188570a21ac969bcaeaf9a8c7f0ade93c08f0139433fb7960753c94ea

Observation 2d433d01-e98d-4ee6-85ab-d7706c1749cf · outbound

This paper cites an unresolved cited work.

Constructing stable Hilbert bundles via Diophantine approximation Unresolved cited work

Reference 38

Resolution
unresolved
raw_fallback, observed 2026-08-10T14:05:55.732152Z

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=2026-08-10T14:05:55.460687Z digest=sha256:dac665e46c55a4fcec4a50e7849a7a6ffda31ad0f07a7974bfcbaa58eff3f2ea

Observation 674961ac-7e49-453e-9136-f1ae196a70f7 · outbound

This paper cites an unresolved cited work.

Constructing stable Hilbert bundles via Diophantine approximation Unresolved cited work

Reference 39

Resolution
unresolved
raw_fallback, observed 2026-08-10T14:05:55.721635Z

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=2026-08-10T14:05:55.463485Z digest=sha256:e2f6ffd5c5f50ebbe11a958d873e2a13ae6c84f701d97d1ea5d8231852258cbc

Observation baf6b8db-42a8-4301-b9fb-fcf4ecbd57f0 · outbound

This paper cites an unresolved cited work.

Constructing stable Hilbert bundles via Diophantine approximation Unresolved cited work

Reference 40

Resolution
unresolved
raw_fallback, observed 2026-08-10T14:05:55.709339Z

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=2026-08-10T14:05:55.466544Z digest=sha256:556ce19977454e9c0c49407fbce9d71e90cc309cdab39ba93af709140440e615

Observation 7e8c922e-794f-4e04-8bd1-21384f613fc0 · outbound

This paper cites Polishchuk.

Constructing stable Hilbert bundles via Diophantine approximation Polishchuk

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T14:05:55.697039Z

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=2026-08-10T14:05:55.469588Z digest=sha256:4399ed8b33972295017b3cada2a328347ccec0e2c21df2851ebff2f388d29dfa

Observation d04c9485-ad11-4789-b19c-f6052837dfc1 · outbound

This paper cites Topology of infinite-dimensional manifolds.

Constructing stable Hilbert bundles via Diophantine approximation Topology of infinite-dimensional manifolds

Reference 42

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T14:05:55.686011Z

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=2026-08-10T14:05:55.473358Z digest=sha256:d798082c095db1f5a7224ad45fd36b8ae0b0f28e3d996c6777617e25d8b5b439

Observation 98cce8ca-5bf3-43ab-b6f8-9072b27e40d7 · outbound

This paper cites The unitary group in its strong topology.

Constructing stable Hilbert bundles via Diophantine approximation The unitary group in its strong topology

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T14:05:55.676023Z

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=2026-08-10T14:05:55.476534Z digest=sha256:f077359b7ee723b009d0a67ed525760c2a84369ace193839deca52ba52f46d60

Observation f797e20d-a611-4ac7-8e20-ef4bd671b07b · outbound

This paper cites an unresolved cited work.

Constructing stable Hilbert bundles via Diophantine approximation Unresolved cited work

Reference 44

Resolution
unresolved
raw_fallback, observed 2026-08-10T14:05:55.663292Z

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=2026-08-10T14:05:55.480291Z digest=sha256:0c574cab82a4f39b5cb229736926565b393bec351a773aae9f5930d1fcbb1273

Observation ae8828a1-98d7-4b59-9b17-d96a87194b65 · outbound

This paper cites an unresolved cited work.

Constructing stable Hilbert bundles via Diophantine approximation Unresolved cited work

Reference 45

Resolution
unresolved
no resolver link, observed 2026-08-10T14:05:55.483504Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T14:05:55.483504Z digest=sha256:2c8eaa828652f259f8e7fe2380f7d41ba712d447c5cbf413cd2240010c1af4f0

Observation 434d5333-0cc1-4f53-b38e-27bbeb48c053 · outbound

This paper cites A Singularity removal theorem for Yang-Mills fields in higher dimensions.

Constructing stable Hilbert bundles via Diophantine approximation A Singularity removal theorem for Yang-Mills fields in higher dimensions

Reference 46

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T14:05:55.644977Z

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=2026-08-10T14:05:55.486795Z digest=sha256:b3a83356cdddad0c99ea8fba82f7ca68b29e14cdb2a831afcf8bf3fb6746c99d

Observation 395b68be-13c4-4fac-af5d-7a9f42a044d3 · outbound

This paper cites Uhlenbeck.

Constructing stable Hilbert bundles via Diophantine approximation Uhlenbeck

Reference 47

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T14:05:55.634327Z

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=2026-08-10T14:05:55.490078Z digest=sha256:207d1a5c722b9db07ab8133a88fc6f8c8aa65f7a95df266cf5705b9f46c4189f

Observation c7b85707-f90f-435f-8e48-f56461d5ecd4 · outbound

This paper cites Uhlenbeck and S.

Constructing stable Hilbert bundles via Diophantine approximation Uhlenbeck and S

Reference 48

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T14:05:55.623260Z

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=2026-08-10T14:05:55.493356Z digest=sha256:9260a821ebc0f3ed3d12d0bdbf276cc6485ce576bc618b50dff654a30e88e253

Observation 4a7acc6d-55bf-437f-9af1-ac360567a3a4 · outbound

This paper cites Uhlenbeck and S.

Constructing stable Hilbert bundles via Diophantine approximation Uhlenbeck and S

Reference 49

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T14:05:55.611462Z

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=2026-08-10T14:05:55.496534Z digest=sha256:7030c4cb8bf9ad55cbc98f18d689898a9230f2ed60e73170c0fb83873010e282

Observation 680451b0-b95d-45a4-8112-5cd82c01c2ab · outbound

This paper cites A curvature formula associated to a family of pseudoconvex domains.

Constructing stable Hilbert bundles via Diophantine approximation A curvature formula associated to a family of pseudoconvex domains

Reference 50

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T14:05:55.600119Z

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=2026-08-10T14:05:55.499730Z digest=sha256:099a6a2261718ceafb90678ded0d1c1f72b63ab4c9264f2ce4975afb56696d20

Observation 252f87be-d9f5-4f7e-be5f-d1fa761dbfe9 · outbound

This paper cites A Dirichlet Problem in Noncommutative Potential Theory.

Constructing stable Hilbert bundles via Diophantine approximation A Dirichlet Problem in Noncommutative Potential Theory

Reference 51

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T14:05:55.589117Z

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=2026-08-10T14:05:55.502995Z digest=sha256:eecb77f2a9e3abb09460d82ca9df1a414877b37b6736c7c7b049f19d2cab232d

Pith citing papers

No inbound Pith citation observations are available.