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Paper Citation Record · LEDGER

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

As of 18 August 2026, this Paper Citation Record lists 28 of 28 outbound references and 1 inbound Pith citation observation 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 29 of 29 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T19:09:25.661978Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-15T19:09:25.884622Z

Reference resolution

28 of 28 outbound references displayed

  • verified exact1
  • verified fuzzy14
  • unresolved13
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

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

Resolution
unresolved
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 2026-08-18T06:34:40.430872+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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raw_fallback, observed 2026-08-07T04:12:59.877887Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+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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raw_fallback, observed 2026-08-07T04:12:59.733054Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+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

Resolution
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raw_fallback, observed 2026-08-07T04:12:59.549641Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-07T04:12:57.819025Z digest=sha256:b2ecba6c7ed3483d4041679dcd78e3b00a2cd3a40003a33a96fcab1628b2a49a

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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raw_fallback, observed 2026-08-07T04:12:59.452976Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+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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raw_fallback, observed 2026-08-07T04:12:59.294751Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+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 2026-08-18T06:34:40.430872+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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raw_fallback, observed 2026-08-07T04:12:59.022766Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-07T04:12:57.831304Z digest=sha256:65a6f89099958a3aa4ce84f12603d2473730120fd5ee94c41b68ce82d1db369a

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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raw_fallback, observed 2026-08-07T04:12:58.896611Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-07T04:12:57.833793Z digest=sha256:64810bbeb63893eac7f37d288cae0ef9ffc964beebe4943636b17380ea663c9c

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

Resolution
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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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-07T04:12:57.836356Z digest=sha256:4cc81c734ea4c8af746d199c45654a84ebf0c5a18167fdc27f23e7916c7d382b

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

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-07T04:12:57.839198Z digest=sha256:77fdfc50b225723bacdc5e3dbbaadf75ca0209c2fb5cc57ef2514e8a5cfac2fe

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
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+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

Resolution
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raw_fallback, observed 2026-08-07T04:12:58.543177Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-07T04:12:57.844652Z digest=sha256:ef512fd74227af07a8b7e34b983f5e78104f19cb2b6835cb443026c6c491f843

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-07T04:12:57.847725Z digest=sha256:22680ba08f19ec696d4a7a97868a21fe7ab394dd04634dcc1f14cfdce090c1f8

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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raw_fallback, observed 2026-08-07T04:12:58.438178Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-07T04:12:57.850284Z digest=sha256:ddb2d6436c2568cb3703b0d7032ca80b1f7cef8f07b865cce22cc06cf973e454

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

Resolution
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raw_fallback, observed 2026-08-07T04:12:58.365609Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-07T04:12:57.852916Z digest=sha256:301ae0a213303f302837770fcae1b860d330e68c96b24d30ac28449c6a7a8d52

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-07T04:12:57.855822Z digest=sha256:8d1cfeda91cde07aaafc67209c8c07bc3e4fde1675186f2b1e141abc75043a76

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

Resolution
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raw_fallback, observed 2026-08-07T04:12:58.279274Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-07T04:12:57.858688Z digest=sha256:a641692092bacc750445038b5416d1b6534d3a0e7b14fe6d434918b9155ce5b4

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

Resolution
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raw_fallback, observed 2026-08-07T04:12:58.222342Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-07T04:12:57.861462Z digest=sha256:827b369734298379911f9e107d4462138f473ab741e712b757e0f7a6de455045

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

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-07T04:12:57.863783Z digest=sha256:eadb4783281f90eca77816c2526c6f53195232d3e8715c383ae8906b0455aadb

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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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-07T04:12:57.866828Z digest=sha256:f70f754db12da75ac241bdbd5210b94ce520833216926a02c204cda555b7fe7f

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

Resolution
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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:e7843ee87ac642aebed873cc66ec2f6c5251d4e989200dd8a022a1edb82afb12

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

Resolution
unresolved
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:fb14c2d06be05d789e8af56f6fcbe39a851a3e7eba01403b973c75dbc703cb4b

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

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-07T04:12:57.875221Z digest=sha256:7a7123628a452ec059015c0c9663c0aae7e1c2c65dd89ccdee01be857847b60c

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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unresolved
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=sha256:5e77587f48f9fe4a3247a74355644ee1b71b61780ff63fd498188d8966722e78

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:cd2c41825c585477fc4336d8011a1154d4808f89af2c12a35b0753a50c7d63e2

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

Resolution
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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=sha256:8747fa87eb85b714229c5a5612f10c7f5aa89d0f6ef234f85effbd53938e2c23

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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unresolved
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=sha256:8a5bf7684071772a730ed05ea6399e61a8dc38615b498ef12ac19eb9d7313cc9

Pith citing papers

Observation 23c94950-eacc-4857-95a2-647dbc99ebc7 · inbound

Exceptional Symmetry as a Source of Algebraic Cycles: Non-Constructive Methods for the Hodge Conjecture for a Special Class of Calabi-Yau 5-Folds cites this paper.

Exceptional Symmetry as a Source of Algebraic Cycles: Non-Constructive Methods for the Hodge Conjecture for a Special Class of Calabi-Yau 5-Folds Extension Research of Principal Bundle Constraint System Theory on Ricci-flat K\"ahler Manifolds

Reference 29

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verified exact
local_arxiv, observed 2026-08-15T19:09:25.889668Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-15T19:09:25.661978Z digest=sha256:3c987003436fd62ae8b92bfcf5cb3283a544c1b1af0588d062b5e509a1a552af