Paper Citation Record · LEDGER

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

As of 8 August 2026, this Paper Citation Record lists 15 of 15 outbound references and 7 inbound Pith citation observations for arXiv:2505.16766.

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

pith.paper-citation-record.v1
2505.16766 v2

Coverage vector

measured 15 of 15 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T15:04:48.200565Z

measured 22 of 22 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+00:00

measured 7 of 7 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T12:07:42.706925Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-07T00:51:34.688213Z

Reference resolution

15 of 15 outbound references displayed

verified exact0
verified fuzzy14
unresolved1
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 9233f2dd-6b0a-443f-8a7d-960017e7f4b1 · outbound

This paper cites Desaint, Paris (1788).

Dynamical Geometric Theory of Principal Bundle Constrained Systems: Strong Transversality Conditions and Variational Framework for Gauge Field Coupling Desaint, Paris (1788)

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:04:48.388169Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation d25d0799-641b-4a34-b6eb-ccb2c99c9444 · outbound

This paper cites Canadian Journal of Mathematics2, 129–148 (1950).

Dynamical Geometric Theory of Principal Bundle Constrained Systems: Strong Transversality Conditions and Variational Framework for Gauge Field Coupling Canadian Journal of Mathematics2, 129–148 (1950)

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:04:48.377198Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 9439de06-d48f-427d-869f-a810a19f352a · outbound

This paper cites Graduate Texts in Mathematics, vol.

Dynamical Geometric Theory of Principal Bundle Constrained Systems: Strong Transversality Conditions and Variational Framework for Gauge Field Coupling Graduate Texts in Mathematics, vol

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:04:48.367203Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation ac24cbf8-92e7-4eae-be42-98468396bd8f · outbound

This paper cites Inventiones Mathematicae10(4), 305–331 (1970).

Dynamical Geometric Theory of Principal Bundle Constrained Systems: Strong Transversality Conditions and Variational Framework for Gauge Field Coupling Inventiones Mathematicae10(4), 305–331 (1970)

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:04:48.357065Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 780b5b9c-0b0e-479e-a8be-8448c8cb8d99 · outbound

This paper cites Benjamin/Cummings Publishing Company, Reading, Massachusetts (1978).

Dynamical Geometric Theory of Principal Bundle Constrained Systems: Strong Transversality Conditions and Variational Framework for Gauge Field Coupling Benjamin/Cummings Publishing Company, Reading, Massachusetts (1978)

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:04:48.346037Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 36c7e4ce-9287-40ad-97d7-99813d5ca3bc · outbound

This paper cites Reports on Mathematical Physics5(1), 121–130 (1974).

Dynamical Geometric Theory of Principal Bundle Constrained Systems: Strong Transversality Conditions and Variational Framework for Gauge Field Coupling Reports on Mathematical Physics5(1), 121–130 (1974)

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:04:48.335107Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation a5996fcf-e84e-40db-9774-f4f9b273fa6e · outbound

This paper cites Texts in Applied Mathematics, vol.

Dynamical Geometric Theory of Principal Bundle Constrained Systems: Strong Transversality Conditions and Variational Framework for Gauge Field Coupling Texts in Applied Mathematics, vol

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:04:48.323938Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 6b26e501-11b3-48a3-9a5d-6cb6b9b52de1 · outbound

This paper cites an unresolved cited work.

Dynamical Geometric Theory of Principal Bundle Constrained Systems: Strong Transversality Conditions and Variational Framework for Gauge Field Coupling Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-08-07T15:04:48.313623Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation cc32a7bc-014b-4e94-bf23-224beb5eef67 · outbound

This paper cites Transactions of the American Mathematical Society85(1), 181–207 (1957).

Dynamical Geometric Theory of Principal Bundle Constrained Systems: Strong Transversality Conditions and Variational Framework for Gauge Field Coupling Transactions of the American Mathematical Society85(1), 181–207 (1957)

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:04:48.303088Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 36c1d532-87e3-490d-bd46-2e823d350c15 · outbound

This paper cites Springer, Berlin (1993).

Dynamical Geometric Theory of Principal Bundle Constrained Systems: Strong Transversality Conditions and Variational Framework for Gauge Field Coupling Springer, Berlin (1993)

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:04:48.291285Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation f286ecb4-0b52-41c4-b15b-069383a37315 · outbound

This paper cites Mathematical Surveys and Monographs, vol.

Dynamical Geometric Theory of Principal Bundle Constrained Systems: Strong Transversality Conditions and Variational Framework for Gauge Field Coupling Mathematical Surveys and Monographs, vol

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:04:48.279688Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation e47c9529-aa9c-4d99-8945-84198f5fc7f9 · outbound

This paper cites International Journal of Geometric Methods in Modern Physics5(07), 1163–1188 (2008).

Dynamical Geometric Theory of Principal Bundle Constrained Systems: Strong Transversality Conditions and Variational Framework for Gauge Field Coupling International Journal of Geometric Methods in Modern Physics5(07), 1163–1188 (2008)

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:04:48.268017Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 6510b28c-9963-4f6a-860b-831a5bfb0df5 · outbound

This paper cites Annals of Mathematics157(2), 575–620 (2006).

Dynamical Geometric Theory of Principal Bundle Constrained Systems: Strong Transversality Conditions and Variational Framework for Gauge Field Coupling Annals of Mathematics157(2), 575–620 (2006)

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:04:48.256009Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 058546ce-862a-4c8f-b5af-f17643505be6 · outbound

This paper cites International Journal of Geometric Methods in Modern Physics6(2), 213–250 (2009).

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:04:48.245151Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 2cf0346d-19aa-4ce2-a1d0-5373ba3adce6 · outbound

This paper cites Proceedings of the National Academy of Sciences53(5), 1047–1052 (1965) 99.

Dynamical Geometric Theory of Principal Bundle Constrained Systems: Strong Transversality Conditions and Variational Framework for Gauge Field Coupling Proceedings of the National Academy of Sciences53(5), 1047–1052 (1965) 99

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:04:48.231716Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Pith citing papers

Observation 41e2b58f-1574-4491-bdb8-5a9a7a309e5a · inbound

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

Geometric Duality Between Constraints and Gauge Fields: Mirror Symmetry and Spencer Isomorphisms of Compatible Pairs on Principal Bundles Dynamical Geometric Theory of Principal Bundle Constrained Systems: Strong Transversality Conditions and Variational Framework for Gauge Field Coupling

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-07T12:06:44.942468Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c230c275-36fc-47e6-8f09-8e127943b69f · inbound

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

Constructing Two Metrics for Spencer Cohomology: Hodge Decomposition of Constrained Bundles Dynamical Geometric Theory of Principal Bundle Constrained Systems: Strong Transversality Conditions and Variational Framework for Gauge Field Coupling

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-07T12:07:42.706925Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation abffbb8e-73d5-4f77-973f-7e29de23109a · inbound

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

Mirror Symmetry of Spencer-Hodge Decompositions in Constrained Geometric Systems Dynamical Geometric Theory of Principal Bundle Constrained Systems: Strong Transversality Conditions and Variational Framework for Gauge Field Coupling

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-07T10:20:56.937734Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e18042d6-670f-4127-826d-95c5434d1eeb · inbound

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

Spencer-Riemann-Roch Theory: Mirror Symmetry of Hodge Decompositions and Characteristic Classes in Constrained Geometry Dynamical Geometric Theory of Principal Bundle Constrained Systems: Strong Transversality Conditions and Variational Framework for Gauge Field Coupling

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-07T10:20:48.546906Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7a536ba5-d95e-421a-acb1-edede85ee38c · inbound

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

Spencer Differential Degeneration Theory and Its Applications in Algebraic Geometry Dynamical Geometric Theory of Principal Bundle Constrained Systems: Strong Transversality Conditions and Variational Framework for Gauge Field Coupling

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-07T05:40:43.294098Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

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

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.

Observation a51a1de4-97b1-4528-a683-f338f1568367 · inbound

The Rigidity of Constraint: A Spencer-Hodge Theoretic Approach to the Hodge Conjecture cites this paper.

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

Resolution: verified exact; 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 2026-08-08T06:32:00.761636+00:00.