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Paper Citation Record · LEDGER

Extension Research of Principal Bundle Constraint System Theory on Ricci-flat K\"ahler Manifolds

As of 11 August 2026, this Paper Citation Record lists 28 of 28 outbound references and 0 inbound Pith citation observations for arXiv:2506.11593.

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

pith.paper-citation-record.v1
2506.11593 v1

Coverage vector

measured 28 of 28 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T04:12:57.886576Z

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 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

28 of 28 outbound references displayed

  • verified exact1
  • verified fuzzy14
  • unresolved13
  • parse uncertain0
  • malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation f8fef6d3-6077-49a9-b630-a89e7cdef58c · outbound

This paper cites an unresolved cited work.

Extension Research of Principal Bundle Constraint System Theory on Ricci-flat K\"ahler Manifolds Unresolved cited work

Reference 1

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raw_fallback, observed 2026-08-07T04:13:00.028557Z

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.

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Observation 03b4f613-df9d-41fc-95b2-8a2ec8e761b8 · outbound

This paper cites Atiyah and Isadore M.

Extension Research of Principal Bundle Constraint System Theory on Ricci-flat K\"ahler Manifolds Atiyah and Isadore M

Reference 2

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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.

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Observation 23c03a0c-1675-4abc-bee6-24b4d1db0bd8 · outbound

This paper cites On kähler manifolds with vanishing canonical class.

Extension Research of Principal Bundle Constraint System Theory on Ricci-flat K\"ahler Manifolds On kähler manifolds with vanishing canonical class

Reference 3

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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.

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Observation 5c8321e5-9a28-4a47-8c67-7b9acd7e4c69 · outbound

This paper cites A simple intrinsic proof of the gauss-bonnet formula for closed riemannian manifolds.

Extension Research of Principal Bundle Constraint System Theory on Ricci-flat K\"ahler Manifolds A simple intrinsic proof of the gauss-bonnet formula for closed riemannian manifolds

Reference 4

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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.

source=arxiv_source observed=2026-08-07T04:12:57.819025Z digest=sha256:59d895c6800534b74795199403c5af95c05ff4d379f8a33052dd866fcf7affb1

Observation e2bb0f50-08c2-4255-9e3d-3d471a46b1b2 · outbound

This paper cites Horowitz, Andrew Strominger, and Edward Witten.

Extension Research of Principal Bundle Constraint System Theory on Ricci-flat K\"ahler Manifolds Horowitz, Andrew Strominger, and Edward Witten

Reference 5

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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.

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Observation a5983cb0-2ea8-4959-989c-c6f43e173f6d · outbound

This paper cites Théorie de hodge: Ii.

Extension Research of Principal Bundle Constraint System Theory on Ricci-flat K\"ahler Manifolds Théorie de hodge: Ii

Reference 6

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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.

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Observation 15d65f1a-9ffe-4183-a656-36ef3ca68c63 · outbound

This paper cites an unresolved cited work.

Extension Research of Principal Bundle Constraint System Theory on Ricci-flat K\"ahler Manifolds Unresolved cited work

Reference 7

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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 b04757d0-7c57-4006-8d58-3503ef819e06 · outbound

This paper cites an unresolved cited work.

Extension Research of Principal Bundle Constraint System Theory on Ricci-flat K\"ahler Manifolds Unresolved cited work

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 3e2d16d9-e07e-4066-a7db-6e10e61b1efc · outbound

This paper cites Donaldson.

Extension Research of Principal Bundle Constraint System Theory on Ricci-flat K\"ahler Manifolds Donaldson

Reference 9

Resolution
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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.

source=arxiv_source observed=2026-08-07T04:12:57.833793Z digest=sha256:305d768588fc581b23bda880fc8bea2caef0073c91a02781a25bba82fbcf66b1

Observation 16ec7a0a-6189-4a68-aaa8-371c12e5fcbf · outbound

This paper cites Les connexions infinitésimales dans un espace fibré différentiable.

Extension Research of Principal Bundle Constraint System Theory on Ricci-flat K\"ahler Manifolds Les connexions infinitésimales dans un espace fibré différentiable

Reference 10

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raw_fallback, observed 2026-08-07T04:12:58.750224Z

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=2026-08-07T04:12:57.836356Z digest=sha256:c12f818648f26198e2002572f633f7822a80db25d64b99fa69c662d3dc747f51

Observation e3420152-8bf2-4992-8d0a-907b5eb9a356 · outbound

This paper cites Integrability criteria for systems of nonlinear partial differential equations.

Extension Research of Principal Bundle Constraint System Theory on Ricci-flat K\"ahler Manifolds Integrability criteria for systems of nonlinear partial differential equations

Reference 11

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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.

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Observation 28408bf7-db61-4d91-824f-a2f2274d6e95 · outbound

This paper cites Sur quelques points d'algèbre homologique , volume 9.

Extension Research of Principal Bundle Constraint System Theory on Ricci-flat K\"ahler Manifolds Sur quelques points d'algèbre homologique , volume 9

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T04:12:58.575828Z

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.

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Observation bde94762-9271-4b2c-a4cd-9a71c8122129 · outbound

This paper cites an unresolved cited work.

Extension Research of Principal Bundle Constraint System Theory on Ricci-flat K\"ahler Manifolds Unresolved cited work

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.

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Observation d76734b8-4ad9-462d-a9c8-6d5690b8c0ba · outbound

This paper cites On the locally complete families of complex analytic structures.

Extension Research of Principal Bundle Constraint System Theory on Ricci-flat K\"ahler Manifolds On the locally complete families of complex analytic structures

Reference 14

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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.

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Observation ebc08cd4-90e2-4425-a647-7a48019ecf6e · outbound

This paper cites Marsden and Tudor S.

Extension Research of Principal Bundle Constraint System Theory on Ricci-flat K\"ahler Manifolds Marsden and Tudor S

Reference 15

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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.

source=arxiv_source observed=2026-08-07T04:12:57.850284Z digest=sha256:8c9f46fd41b3c3b2b829eb3edabb8ffe52e69a3b3e2d1ce20b09fe3db33f5ce5

Observation f165b577-0634-4473-9a20-4b8c4a0d1af3 · outbound

This paper cites an unresolved cited work.

Extension Research of Principal Bundle Constraint System Theory on Ricci-flat K\"ahler Manifolds Unresolved cited work

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.

source=arxiv_source observed=2026-08-07T04:12:57.852916Z digest=sha256:0aa3ff6f96dfb45cc8658af721db36613dc7581f4d2fbf2fe7357a95851a1488

Observation 4c719d31-26be-49d3-a23a-89da80612557 · outbound

This paper cites an unresolved cited work.

Extension Research of Principal Bundle Constraint System Theory on Ricci-flat K\"ahler Manifolds Unresolved cited work

Reference 17

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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.

source=arxiv_source observed=2026-08-07T04:12:57.855822Z digest=sha256:1019838d2c2dc62187ab2b25486c1c05d4e3fb7106eb25fbb0ad92afcbd05d58

Observation e455d2bc-0a9c-457f-9bcb-465f736c2f59 · outbound

This paper cites Electric-magnetic duality, monopole condensation, and confinement in n=2 supersymmetric yang-mills theory.

Extension Research of Principal Bundle Constraint System Theory on Ricci-flat K\"ahler Manifolds Electric-magnetic duality, monopole condensation, and confinement in n=2 supersymmetric yang-mills theory

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.

source=arxiv_source observed=2026-08-07T04:12:57.858688Z digest=sha256:e77c58b3bf489eec3b7a887e3a1fa0803c132fa741be9a40923dc6539ec55a5c

Observation f8b3ed39-ea3e-455c-a50f-2e32b0cc109a · outbound

This paper cites Invariants of quadratic differential forms.

Extension Research of Principal Bundle Constraint System Theory on Ricci-flat K\"ahler Manifolds Invariants of quadratic differential forms

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.

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Observation 42e787ba-e3dd-44d8-8390-405e2e86c6c2 · outbound

This paper cites On the ricci curvature of a compact kähler manifold and the complex monge-ampère equation, i.

Extension Research of Principal Bundle Constraint System Theory on Ricci-flat K\"ahler Manifolds On the ricci curvature of a compact kähler manifold and the complex monge-ampère equation, i

Reference 20

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raw_fallback, observed 2026-08-07T04:12:58.171859Z

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

source=arxiv_source observed=2026-08-07T04:12:57.863783Z digest=sha256:d59cc38ef51dd2c2868a930af12c7082e420b2b0f3895496fd354e4dd961ddc5

Observation 7171b08f-020a-41ce-bb97-ea65486dfb11 · outbound

This paper cites an unresolved cited work.

Extension Research of Principal Bundle Constraint System Theory on Ricci-flat K\"ahler Manifolds 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.

source=arxiv_source observed=2026-08-07T04:12:57.866828Z digest=sha256:827145d22aba7c7e2022a4686bb2f1fdb86724fbe6353d82b531c3c46a433484

Observation 72dcb4cb-0012-416a-aa74-3791874f0286 · outbound

This paper cites Constructing Two Metrics for Spencer Cohomology: Hodge Decomposition of Constrained Bundles.

Extension Research of Principal Bundle Constraint System Theory on Ricci-flat K\"ahler Manifolds Constructing Two Metrics for Spencer Cohomology: Hodge Decomposition of Constrained Bundles

Reference 22

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no resolver link, observed 2026-08-07T04:12:57.869402Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T04:12:57.869402Z digest=sha256:9124fbd7273f0d00d4b5d7fb55896c5e0367b250b4f062b9ce45d2ec6ba7b50c

Observation afd65e9a-153d-41d1-8849-1d6b69f1bae9 · outbound

This paper cites Dynamical Geometric Theory of Principal Bundle Constrained Systems: Strong Transversality Conditions and Variational Framework for Gauge Field Coupling.

Extension Research of Principal Bundle Constraint System Theory on Ricci-flat K\"ahler Manifolds Dynamical Geometric Theory of Principal Bundle Constrained Systems: Strong Transversality Conditions and Variational Framework for Gauge Field Coupling

Reference 23

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no resolver link, observed 2026-08-07T04:12:57.872230Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T04:12:57.872230Z digest=sha256:af8904c6ee7c6a21f2b2f8ab1d6ea8906c93c2883e1198e792f5879bed3e6ada

Observation 3c00090f-a6c6-4969-b9b4-4b76b0555242 · outbound

This paper cites Geometric Duality Between Constraints and Gauge Fields: Mirror Symmetry and Spencer Isomorphisms of Compatible Pairs on Principal Bundles.

Extension Research of Principal Bundle Constraint System Theory on Ricci-flat K\"ahler Manifolds Geometric Duality Between Constraints and Gauge Fields: Mirror Symmetry and Spencer Isomorphisms of Compatible Pairs on Principal Bundles

Reference 24

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local_arxiv, observed 2026-08-07T04:12:58.045090Z

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

source=arxiv_source observed=2026-08-07T04:12:57.875221Z digest=sha256:8da3e6fd9bc36245c6ea01fabdfe2f461f700560d8342fbdab4708db0ac707b1

Observation 53143bff-b80a-4d33-996a-1ea4bed55123 · outbound

This paper cites Mirror symmetry in geometric constraints: Analytic and riemann-roch perspectives.

Extension Research of Principal Bundle Constraint System Theory on Ricci-flat K\"ahler Manifolds Mirror symmetry in geometric constraints: Analytic and riemann-roch perspectives

Reference 25

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no resolver link, observed 2026-08-07T04:12:57.878085Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T04:12:57.878085Z digest=sha256:6e695b1f12b3d3794d7ff0471452084e0b2bfbe2341d03c46166ac121f2b8df2

Observation 2ae9e6b8-1801-4b8c-a2f5-f791b653aa30 · outbound

This paper cites Mirror Symmetry of Spencer-Hodge Decompositions in Constrained Geometric Systems.

Extension Research of Principal Bundle Constraint System Theory on Ricci-flat K\"ahler Manifolds Mirror Symmetry of Spencer-Hodge Decompositions in Constrained Geometric Systems

Reference 26

Resolution
unresolved
no resolver link, observed 2026-08-07T04:12:57.880620Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T04:12:57.880620Z digest=sha256:d648d19d583709a8e51deaa447fc8b4e165faeaf4bdba2dd07b425b6122b1ab9

Observation 0977d15a-55cb-42b4-8431-d82282e22d2b · outbound

This paper cites Spencer Differential Degeneration Theory and Its Applications in Algebraic Geometry.

Extension Research of Principal Bundle Constraint System Theory on Ricci-flat K\"ahler Manifolds Spencer Differential Degeneration Theory and Its Applications in Algebraic Geometry

Reference 27

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no resolver link, observed 2026-08-07T04:12:57.883488Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T04:12:57.883488Z digest=sha256:f238c7a93d07cdac8e6bcb6fa35c0996619d2564b014581502ddfc5fb61c8835

Observation 85ff7c31-76ad-4e53-b005-14accdec020d · outbound

This paper cites Spencer-Riemann-Roch Theory: Mirror Symmetry of Hodge Decompositions and Characteristic Classes in Constrained Geometry.

Extension Research of Principal Bundle Constraint System Theory on Ricci-flat K\"ahler Manifolds Spencer-Riemann-Roch Theory: Mirror Symmetry of Hodge Decompositions and Characteristic Classes in Constrained Geometry

Reference 28

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no resolver link, observed 2026-08-07T04:12:57.886576Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T04:12:57.886576Z digest=sha256:146b029452d86b624e6596fd44b818774c6cbc6f0abf7c1dba643bd783fdd9ef

Pith citing papers

No inbound Pith citation observations are available.