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Paper Citation Record · LEDGER

Hodge Duals in Spherical Compactifications

As of 19 August 2026, this Paper Citation Record lists 17 of 17 outbound references and 0 inbound Pith citation observations for arXiv:2507.06324.

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

pith.paper-citation-record.v1
2507.06324 v1

Coverage vector

measured 17 of 17 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T19:30:02.821344Z

measured 17 of 17 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+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

17 of 17 outbound references displayed

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  • verified fuzzy3
  • unresolved10
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  • malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation f397e05d-daa1-4eed-ac30-50e5bac842f2 · outbound

This paper cites On the Unification Problem in Physics.

Hodge Duals in Spherical Compactifications On the Unification Problem in Physics

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-06T19:30:01.299846Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:30:01.299846Z digest=sha256:e477ed9320a9519db5f701db1f75e8a51f81407902a05c7a2a20cb6d60d864d1

Observation f9bd751b-94e9-4358-a928-0572c5dd5ad0 · outbound

This paper cites Klein,Quantum Theory and Five-Dimensional Theory of Relativity.

Hodge Duals in Spherical Compactifications Klein,Quantum Theory and Five-Dimensional Theory of Relativity

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:30:04.801166Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation 410df2ef-aedd-4ad5-84e5-d927d5cf527c · outbound

This paper cites de Wit and H.

Hodge Duals in Spherical Compactifications de Wit and H

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:30:04.596724Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation 6712fe9e-78c3-45a9-934e-e20989fac443 · outbound

This paper cites an unresolved cited work.

Hodge Duals in Spherical Compactifications Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-06T19:30:04.374985Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T19:30:01.559903Z digest=sha256:c808b325121bd11c8809ba28799a5bd6b50f78129b8be5267db7510e22df1e3c

Observation 101cc5a3-3176-4b2d-ac24-fe2f7c941077 · outbound

This paper cites Consistent nonlinear KK reduction of 11d supergravity on $AdS_7\times S_4$ and self-duality in odd dimensions.

Hodge Duals in Spherical Compactifications Consistent nonlinear KK reduction of 11d supergravity on $AdS_7\times S_4$ and self-duality in odd dimensions

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-06T19:30:01.643019Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:30:01.643019Z digest=sha256:27831ce3e83ff480fa1ad57b52337023ae8cff66a5bc26560b187f9e88b09dda

Observation a2155618-1e5d-4c00-a6b7-953c8de51a22 · outbound

This paper cites Salam and E.

Hodge Duals in Spherical Compactifications Salam and E

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:30:04.172300Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T19:30:01.728592Z digest=sha256:a96ebbb9bf9e2c3248c656056f9987fda6eddd9de9453743fe50a5120c0e80cc

Observation 40ee573e-19e5-4477-8ed2-e39f536d318a · outbound

This paper cites Consistent Kaluza-Klein Sphere Reductions.

Hodge Duals in Spherical Compactifications Consistent Kaluza-Klein Sphere Reductions

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-06T19:30:01.837937Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:30:01.837937Z digest=sha256:f7b43233bced6168e5bbc36332f15c4f07026b36caa266ea447e19602ced0e27

Observation 5817950d-2bb2-4e0a-899b-6ff42ba97f96 · outbound

This paper cites Consistent Warped-Space Kaluza-Klein Reductions, Half-Maximal Gauged Supergravities and CP^n Constructions.

Hodge Duals in Spherical Compactifications Consistent Warped-Space Kaluza-Klein Reductions, Half-Maximal Gauged Supergravities and CP^n Constructions

Reference 8

Resolution
verified exact
local_arxiv, observed 2026-08-06T19:30:03.545473Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T19:30:01.914662Z digest=sha256:359b1676b58bab227b5190865e6abf8a81e7e8c97a3cd77ca581b02eea78b3bf

Observation 368b74e4-9f73-4477-8c80-596fed0ebc1d · outbound

This paper cites an unresolved cited work.

Hodge Duals in Spherical Compactifications Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-06T19:30:03.999371Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T19:30:02.022864Z digest=sha256:7b4852adfc029f832ba47fdb2118da412c6ed9920e4c24394d37ed57294e0c11

Observation a25751ad-74e1-44dc-8ac8-9b0672388ac3 · outbound

This paper cites Four-dimensional N=4 SO(4) Gauged Supergravity from D=11.

Hodge Duals in Spherical Compactifications Four-dimensional N=4 SO(4) Gauged Supergravity from D=11

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-06T19:30:02.136220Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:30:02.136220Z digest=sha256:d60403caafad4ca017a564bf2652e140cd61cedef9a50cee25b146d35ca10cc9

Observation 7c783448-1482-43ac-98ff-50749d8fe075 · outbound

This paper cites S^3 and S^4 Reductions of Type IIA Supergravity.

Hodge Duals in Spherical Compactifications S^3 and S^4 Reductions of Type IIA Supergravity

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-06T19:30:02.242411Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:30:02.242411Z digest=sha256:23074487478bb9d389b71d80a63f05d5ba9a64e81d2f3fdf8e58126c168efc49

Observation 09615000-31ee-432a-8cee-81dbb32a3ce7 · outbound

This paper cites Geometry of The Embedding of Supergravity Scalar Manifolds in D=11 and D=10.

Hodge Duals in Spherical Compactifications Geometry of The Embedding of Supergravity Scalar Manifolds in D=11 and D=10

Reference 12

Resolution
unresolved
no resolver link, observed 2026-08-06T19:30:02.347229Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:30:02.347229Z digest=sha256:ed1404588e4cce11a8837ae63becfc9641ee9a5d2f74a08d7cd55d6204dfae62

Observation 7004239e-00cf-4b1b-8bc9-8b7931611657 · outbound

This paper cites Consistent Group and Coset Reductions of the Bosonic String.

Hodge Duals in Spherical Compactifications Consistent Group and Coset Reductions of the Bosonic String

Reference 13

Resolution
unresolved
no resolver link, observed 2026-08-06T19:30:02.471927Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:30:02.471927Z digest=sha256:0d95683af81ad867fbee41465ec0fbda19b0eff8faa38f1140b8afa4b82961bb

Observation f7a5ea78-dd43-4bf6-8460-b607777be53e · outbound

This paper cites A String and M-theory Origin for the Salam-Sezgin Model.

Hodge Duals in Spherical Compactifications A String and M-theory Origin for the Salam-Sezgin Model

Reference 14

Resolution
verified exact
local_arxiv, observed 2026-08-06T19:30:03.360621Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T19:30:02.549213Z digest=sha256:9dc237229bdb0b2170d095297a89c8907dad3c2a5dba44bc9d1c7daf9f189c31

Observation 2ba4589a-56d7-4d91-aa68-a75ac76fb4ce · outbound

This paper cites Consistent S^2 Pauli Reduction of Six-dimensional Chiral Gauged Einstein-Maxwell Supergravity.

Hodge Duals in Spherical Compactifications Consistent S^2 Pauli Reduction of Six-dimensional Chiral Gauged Einstein-Maxwell Supergravity

Reference 15

Resolution
verified exact
local_arxiv, observed 2026-08-06T19:30:03.175070Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation 113c032e-d91d-4b57-90a9-92cad02808c9 · outbound

This paper cites an unresolved cited work.

Hodge Duals in Spherical Compactifications Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-08-06T19:30:03.775050Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation 87919048-e52c-426d-afcc-c934260b300d · outbound

This paper cites On Pauli Reductions of Supergravities in Six and Five Dimensions.

Hodge Duals in Spherical Compactifications On Pauli Reductions of Supergravities in Six and Five Dimensions

Reference 17

Resolution
verified exact
local_arxiv, observed 2026-08-06T19:30:02.975957Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Pith citing papers

No inbound Pith citation observations are available.