Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-07T00:51:34.544181Z
Paper Citation Record · LEDGER
The Rigidity of Constraint: A Spencer-Hodge Theoretic Approach to the Hodge Conjecture
As of 11 August 2026, this Paper Citation Record lists 31 of 31 outbound references and 0 inbound Pith citation observations for arXiv:2506.12720.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
31 of 31 outbound references displayed
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External citation measurements
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Outbound references
Observation c5be5141-e4d7-455d-828b-4297d0857fbc · outbound
This paper cites The yang-mills equations over riemann surfaces.
The Rigidity of Constraint: A Spencer-Hodge Theoretic Approach to the Hodge Conjecture The yang-mills equations over riemann surfaces
Reference 1
- Resolution
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- raw_fallback, observed 2026-08-07T00:51:34.941822Z
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.
Observation 96a9a23a-e1f9-4d70-86c7-aca664127e4c · outbound
This paper cites The index of elliptic operators on compact manifolds.
The Rigidity of Constraint: A Spencer-Hodge Theoretic Approach to the Hodge Conjecture The index of elliptic operators on compact manifolds
Reference 2
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- raw_fallback, observed 2026-08-07T00:51:34.932244Z
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.
Observation 47bade64-2f32-4832-99ef-57cd75cf7e6d · outbound
This paper cites Variétés kählériennes dont la première classe de chern est nulle.
The Rigidity of Constraint: A Spencer-Hodge Theoretic Approach to the Hodge Conjecture Variétés kählériennes dont la première classe de chern est nulle
Reference 3
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- raw_fallback, observed 2026-08-07T00:51:34.922368Z
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.
Observation e09f69ac-7b94-4022-8bb0-c9af8a1b7481 · outbound
This paper cites Extensions of mixed hodge structures.
The Rigidity of Constraint: A Spencer-Hodge Theoretic Approach to the Hodge Conjecture Extensions of mixed hodge structures
Reference 4
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- raw_fallback, observed 2026-08-07T00:51:34.912086Z
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.
Observation 85ccc01b-81f9-4a5f-a07d-94bb5db5fc76 · outbound
This paper cites Mixed Hodge structures , volume 52 of Ergebnisse der Mathematik und ihrer Grenzgebiete.
The Rigidity of Constraint: A Spencer-Hodge Theoretic Approach to the Hodge Conjecture Mixed Hodge structures , volume 52 of Ergebnisse der Mathematik und ihrer Grenzgebiete
Reference 5
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- raw_fallback, observed 2026-08-07T00:51:34.902715Z
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.
Observation 13d5e7fd-3296-4e7e-84e8-a17674c998d8 · outbound
This paper cites Hodge cycles on abelian varieties.
The Rigidity of Constraint: A Spencer-Hodge Theoretic Approach to the Hodge Conjecture Hodge cycles on abelian varieties
Reference 6
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- raw_fallback, observed 2026-08-07T00:51:34.892579Z
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.
Observation 621d57d1-e89e-4fa0-b077-8ae9d44157e1 · outbound
This paper cites An application of gauge theory to four-dimensional topology.
The Rigidity of Constraint: A Spencer-Hodge Theoretic Approach to the Hodge Conjecture An application of gauge theory to four-dimensional topology
Reference 7
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- raw_fallback, observed 2026-08-07T00:51:34.883793Z
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.
Observation 27bf5c06-bb6f-4e0c-a4c7-f672af8fc8e5 · outbound
This paper cites Towards mirror symmetry for varieties of general type.
The Rigidity of Constraint: A Spencer-Hodge Theoretic Approach to the Hodge Conjecture Towards mirror symmetry for varieties of general type
Reference 8
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- raw_fallback, observed 2026-08-07T00:51:34.873749Z
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.
Observation 92c78cea-47a0-4dc4-9485-0dbba8333b37 · outbound
This paper cites Periods of integrals on algebraic manifolds.
The Rigidity of Constraint: A Spencer-Hodge Theoretic Approach to the Hodge Conjecture Periods of integrals on algebraic manifolds
Reference 9
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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.
Observation ab3f0ea1-fd56-4a80-9a85-4923ddeb20b5 · outbound
This paper cites Standard conjectures on algebraic cycles.
The Rigidity of Constraint: A Spencer-Hodge Theoretic Approach to the Hodge Conjecture Standard conjectures on algebraic cycles
Reference 10
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- raw_fallback, observed 2026-08-07T00:51:34.856086Z
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.
Observation b7e2b551-1969-4c5d-bca9-8acb8844b8cf · outbound
This paper cites Symplectic techniques in physics.
The Rigidity of Constraint: A Spencer-Hodge Theoretic Approach to the Hodge Conjecture Symplectic techniques in physics
Reference 11
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- raw_fallback, observed 2026-08-07T00:51:34.846269Z
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.
Observation 6bb38dff-46aa-439d-bd5b-1082590a1018 · outbound
This paper cites The topological invariants of algebraic varieties.
The Rigidity of Constraint: A Spencer-Hodge Theoretic Approach to the Hodge Conjecture The topological invariants of algebraic varieties
Reference 12
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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.
Observation 6f50bb71-a455-41be-964c-3d31b599d618 · outbound
This paper cites The theory and applications of harmonic integrals.
The Rigidity of Constraint: A Spencer-Hodge Theoretic Approach to the Hodge Conjecture The theory and applications of harmonic integrals
Reference 13
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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.
Observation 0eae6429-6865-4aab-8843-a38f4c63ef5b · outbound
This paper cites Introduction to Lie algebras and representation theory , volume 9 of Graduate Texts in Mathematics.
The Rigidity of Constraint: A Spencer-Hodge Theoretic Approach to the Hodge Conjecture Introduction to Lie algebras and representation theory , volume 9 of Graduate Texts in Mathematics
Reference 14
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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 2fa4cb57-4655-4729-82f5-a6aace8b1051 · outbound
This paper cites Lectures on K3 surfaces , volume 158 of Cambridge Studies in Advanced Mathematics.
The Rigidity of Constraint: A Spencer-Hodge Theoretic Approach to the Hodge Conjecture Lectures on K3 surfaces , volume 158 of Cambridge Studies in Advanced Mathematics
Reference 15
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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation f152e08c-0008-445c-a70e-2080904bf157 · outbound
This paper cites L'analysis situs et la géométrie algébrique.
The Rigidity of Constraint: A Spencer-Hodge Theoretic Approach to the Hodge Conjecture L'analysis situs et la géométrie algébrique
Reference 16
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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.
Observation edad67e8-998f-4716-9a6a-974876eec4f0 · outbound
This paper cites A survey of the Hodge conjecture , volume 10 of CRM Monograph Series.
The Rigidity of Constraint: A Spencer-Hodge Theoretic Approach to the Hodge Conjecture A survey of the Hodge conjecture , volume 10 of CRM Monograph Series
Reference 17
- Resolution
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- raw_fallback, observed 2026-08-07T00:51:34.789847Z
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.
Observation 3e6be488-e6db-49b5-88ca-fc209503f111 · outbound
This paper cites Geometric invariant theory , volume 34 of Ergebnisse der Mathematik und ihrer Grenzgebiete.
The Rigidity of Constraint: A Spencer-Hodge Theoretic Approach to the Hodge Conjecture Geometric invariant theory , volume 34 of Ergebnisse der Mathematik und ihrer Grenzgebiete
Reference 18
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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.
Observation 5e5c97cd-e73e-45de-b166-275c23657d40 · outbound
This paper cites Reduction of symplectic manifolds with symmetry.
The Rigidity of Constraint: A Spencer-Hodge Theoretic Approach to the Hodge Conjecture Reduction of symplectic manifolds with symmetry
Reference 19
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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.
Observation 574b28ba-4a8a-44f7-a103-d3b204472fd7 · outbound
This paper cites Variation of hodge structure: the singularities of the period mapping.
The Rigidity of Constraint: A Spencer-Hodge Theoretic Approach to the Hodge Conjecture Variation of hodge structure: the singularities of the period mapping
Reference 20
- Resolution
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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation ff5637c9-6671-408f-972a-e67ce02236c2 · outbound
This paper cites Deformation of structures on manifolds defined by transitive, continuous pseudogroups.
The Rigidity of Constraint: A Spencer-Hodge Theoretic Approach to the Hodge Conjecture Deformation of structures on manifolds defined by transitive, continuous pseudogroups
Reference 21
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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 1b3b6286-2e1c-4bb7-9a36-26ff7341d1d2 · outbound
This paper cites Hodge theory and complex algebraic geometry I , volume 76 of Cambridge Studies in Advanced Mathematics.
The Rigidity of Constraint: A Spencer-Hodge Theoretic Approach to the Hodge Conjecture Hodge theory and complex algebraic geometry I , volume 76 of Cambridge Studies in Advanced Mathematics
Reference 22
- Resolution
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- raw_fallback, observed 2026-08-07T00:51:34.743032Z
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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 51f2aa22-3da8-4ce1-8077-4ad17d3404d5 · outbound
This paper cites Hodge theory and complex algebraic geometry II , volume 77 of Cambridge Studies in Advanced Mathematics.
The Rigidity of Constraint: A Spencer-Hodge Theoretic Approach to the Hodge Conjecture Hodge theory and complex algebraic geometry II , volume 77 of Cambridge Studies in Advanced Mathematics
Reference 23
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- raw_fallback, observed 2026-08-07T00:51:34.734371Z
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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation a5f30d08-d1fc-42ea-bd7e-3490a28692dc · outbound
This paper cites Topological quantum field theory.
The Rigidity of Constraint: A Spencer-Hodge Theoretic Approach to the Hodge Conjecture Topological quantum field theory
Reference 24
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- raw_fallback, observed 2026-08-07T00:51:34.724446Z
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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 2895dd81-10e6-414d-bd8b-302a5a99087d · outbound
This paper cites Constructing Two Metrics for Spencer Cohomology: Hodge Decomposition of Constrained Bundles.
The Rigidity of Constraint: A Spencer-Hodge Theoretic Approach to the Hodge Conjecture Constructing Two Metrics for Spencer Cohomology: Hodge Decomposition of Constrained Bundles
Reference 25
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- local_arxiv, observed 2026-08-07T00:51:34.705270Z
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.
Observation a51a1de4-97b1-4528-a683-f338f1568367 · outbound
This paper cites Dynamical Geometric Theory of Principal Bundle Constrained Systems: Strong Transversality Conditions and Variational Framework for Gauge Field Coupling.
The Rigidity of Constraint: A Spencer-Hodge Theoretic Approach to the Hodge Conjecture Dynamical Geometric Theory of Principal Bundle Constrained Systems: Strong Transversality Conditions and Variational Framework for Gauge Field Coupling
Reference 26
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- local_arxiv, observed 2026-08-07T00:51:34.691854Z
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.
Observation eb4a89bd-e92f-4572-9d95-8096e37ee0de · outbound
This paper cites Extension research of principal bundle constraint system theory on ricci-flat k\"ahler manifolds.
The Rigidity of Constraint: A Spencer-Hodge Theoretic Approach to the Hodge Conjecture Extension research of principal bundle constraint system theory on ricci-flat k\"ahler manifolds
Reference 27
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- raw_fallback, observed 2026-08-07T00:51:34.714477Z
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.
Observation cecc24f5-c109-473d-9ce2-01ed8d14e478 · outbound
This paper cites Mirror symmetry in geometric constraints: Analytic and riemann-roch perspectives.
The Rigidity of Constraint: A Spencer-Hodge Theoretic Approach to the Hodge Conjecture Mirror symmetry in geometric constraints: Analytic and riemann-roch perspectives
Reference 28
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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation d42d3437-47a4-4260-a904-54ddb55b66b6 · outbound
This paper cites Mirror Symmetry of Spencer-Hodge Decompositions in Constrained Geometric Systems.
The Rigidity of Constraint: A Spencer-Hodge Theoretic Approach to the Hodge Conjecture Mirror Symmetry of Spencer-Hodge Decompositions in Constrained Geometric Systems
Reference 29
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- local_arxiv, observed 2026-08-07T00:51:34.605284Z
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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation eaef98b3-5299-4f59-868b-1821681fa827 · outbound
This paper cites Spencer Differential Degeneration Theory and Its Applications in Algebraic Geometry.
The Rigidity of Constraint: A Spencer-Hodge Theoretic Approach to the Hodge Conjecture Spencer Differential Degeneration Theory and Its Applications in Algebraic Geometry
Reference 30
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- local_arxiv, observed 2026-08-07T00:51:34.591495Z
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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation cfa724c0-3fc1-4dfa-878f-6a43292b2bf8 · outbound
This paper cites Spencer-Riemann-Roch Theory: Mirror Symmetry of Hodge Decompositions and Characteristic Classes in Constrained Geometry.
The Rigidity of Constraint: A Spencer-Hodge Theoretic Approach to the Hodge Conjecture Spencer-Riemann-Roch Theory: Mirror Symmetry of Hodge Decompositions and Characteristic Classes in Constrained Geometry
Reference 31
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- local_arxiv, observed 2026-08-07T00:51:34.577948Z
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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Pith citing papers
No inbound Pith citation observations are available.