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Paper Citation Record · LEDGER

Toward an Asymptotic Efficiency Theory on Regular Parameter Manifolds

As of 12 August 2026, this Paper Citation Record lists 12 of 12 outbound references and 1 inbound Pith citation observation for arXiv:2510.13703.

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

pith.paper-citation-record.v1
2510.13703 v4

Coverage vector

measured 12 of 12 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-04T09:49:46.638238Z

measured 13 of 13 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T21:54:45.084535Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-06T21:54:45.220106Z

Reference resolution

12 of 12 outbound references displayed

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  • verified fuzzy0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 8d8e5c70-f4d3-4266-955d-b9c66e1b3826 · outbound

This paper cites Springer, 2018.

Toward an Asymptotic Efficiency Theory on Regular Parameter Manifolds Springer, 2018

Reference 1

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unresolved
no resolver link, observed 2026-08-04T09:49:45.831488Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T09:49:45.831488Z digest=sha256:92ddce6eb9c42e7e563bf058527c5a19449870e213aef90592e67c9445d63de2

Observation c72dd134-5ec6-4531-86c2-facedce6f742 · outbound

This paper cites Large sample theory of intrinsic and extrinsic sample means on manifolds – II.The Annals of Statistics, 33(3):1225–1259, 2005.

Toward an Asymptotic Efficiency Theory on Regular Parameter Manifolds Large sample theory of intrinsic and extrinsic sample means on manifolds – II.The Annals of Statistics, 33(3):1225–1259, 2005

Reference 2

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unresolved
no resolver link, observed 2026-08-04T09:49:45.871585Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T09:49:45.871585Z digest=sha256:69602a9ab252e27a1cfc67d60deb171b28791e1636bce8131027ac78b3cf66a4

Observation 5f121f8b-15c1-49ca-980b-250c5a19c0a3 · outbound

This paper cites an unresolved cited work.

Toward an Asymptotic Efficiency Theory on Regular Parameter Manifolds Unresolved cited work

Reference 3

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unresolved
no resolver link, observed 2026-08-04T09:49:45.965089Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T09:49:45.965089Z digest=sha256:196b27abc61839cd4d2457371e395cb23fb7c8190e6609398a2a8863b3047014

Observation 10aaa348-9f96-4c58-97e7-582d3daa8432 · outbound

This paper cites Central limit theorem for intrinsic Fr´ echet means in smooth compact Riemannian manifolds.Probability Theory and Related Fields, 189 (3):1219–1246, 2024.

Toward an Asymptotic Efficiency Theory on Regular Parameter Manifolds Central limit theorem for intrinsic Fr´ echet means in smooth compact Riemannian manifolds.Probability Theory and Related Fields, 189 (3):1219–1246, 2024

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-04T09:49:46.047221Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T09:49:46.047221Z digest=sha256:66517d90fcd8ff9281fa48835476d87c56e0b0a014605088c86d8b69b01be92c

Observation ce2066ac-eae4-4bb2-be6f-af6f1b279169 · outbound

This paper cites Covariance, subspace, and intrinsic Cram´ er-Rao bounds.IEEE Trans- actions on Signal Processing, 53(5):1610–1630, 2005.

Toward an Asymptotic Efficiency Theory on Regular Parameter Manifolds Covariance, subspace, and intrinsic Cram´ er-Rao bounds.IEEE Trans- actions on Signal Processing, 53(5):1610–1630, 2005

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-04T09:49:46.128624Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T09:49:46.128624Z digest=sha256:2d9d7a542652cc6979a1f53d55d56170118681b63a2fffb3dd9935df9836cbd3

Observation 46c0f8cf-5b41-4e1d-afaa-bd92f497e35c · outbound

This paper cites John Wiley & Sons, 2013.

Toward an Asymptotic Efficiency Theory on Regular Parameter Manifolds John Wiley & Sons, 2013

Reference 6

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unresolved
no resolver link, observed 2026-08-04T09:49:46.191032Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T09:49:46.191032Z digest=sha256:1748843ad729e6b14043cb2601bdce5c8252171852c966bd600e4128c9530ef0

Observation 72055a11-a278-48c7-9b3b-3179a644e3dc · outbound

This paper cites Springer Science & Business Media, 2023.

Toward an Asymptotic Efficiency Theory on Regular Parameter Manifolds Springer Science & Business Media, 2023

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-04T09:49:46.294354Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T09:49:46.294354Z digest=sha256:5b0c9c93ff325272a11695f4294a2d5b1b2f0007ec47cb0a75b828ca415d2951

Observation 4828a781-dd2e-4ba1-ba4e-7bf89e0fbc11 · outbound

This paper cites The Taylor expansion of the exponential map and geometric applications.Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales.

Toward an Asymptotic Efficiency Theory on Regular Parameter Manifolds The Taylor expansion of the exponential map and geometric applications.Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-04T09:49:46.395619Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T09:49:46.395619Z digest=sha256:7caa5c8397b3d65ffd7042d03a8ce001b9a54878c6912e0d912d98934fcf89f8

Observation adf7b643-2374-4cf5-a579-f1aca96b2681 · outbound

This paper cites Approximated logarithmic maps on Riemannian manifolds and their applications.JSIAM Letters, 13:17–20, 2021.

Toward an Asymptotic Efficiency Theory on Regular Parameter Manifolds Approximated logarithmic maps on Riemannian manifolds and their applications.JSIAM Letters, 13:17–20, 2021

Reference 9

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unresolved
no resolver link, observed 2026-08-04T09:49:46.460094Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T09:49:46.460094Z digest=sha256:0e3aaed5efd55c4435f10d15fccabb7f4bb5f79f35517d422d49a09fc63111ab

Observation c3cddffd-7b87-463b-8a66-9dc422eb2a49 · outbound

This paper cites The van Trees inequality in the spirit of Haj´ ek and Le Cam.Statistical Science, 39(4):644–653, 2024.

Toward an Asymptotic Efficiency Theory on Regular Parameter Manifolds The van Trees inequality in the spirit of Haj´ ek and Le Cam.Statistical Science, 39(4):644–653, 2024

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-04T09:49:46.507948Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T09:49:46.507948Z digest=sha256:dfc733a20a50bedfc2ca5849c5f22adccfab5988f6640e261be0970312ac2ff3

Observation 82ddb368-16c6-4a14-8853-673d083fd37d · outbound

This paper cites On differentiable functionals.The Annals of Statistics, 19(1):178–204, 1991.

Toward an Asymptotic Efficiency Theory on Regular Parameter Manifolds On differentiable functionals.The Annals of Statistics, 19(1):178–204, 1991

Reference 11

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unresolved
no resolver link, observed 2026-08-04T09:49:46.563457Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T09:49:46.563457Z digest=sha256:bf635b911139197abc0a339ffa59409a058ae02444cb639355b2215f4d1d78a1

Observation efc32a10-05f8-4871-815f-2f7c17f50ff2 · outbound

This paper cites Curvature effects on the empirical mean in Riemannian and affine Manifolds: a non-asymptotic high concentration expansion in the small-sample regime.

Toward an Asymptotic Efficiency Theory on Regular Parameter Manifolds Curvature effects on the empirical mean in Riemannian and affine Manifolds: a non-asymptotic high concentration expansion in the small-sample regime

Reference 12

Resolution
unresolved
no resolver link, observed 2026-08-04T09:49:46.638238Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T09:49:46.638238Z digest=sha256:5dfa6aaa6f2befc9e95c472f0a9e764f9aa9a08b1abda2c282a3f03118f56acb

Pith citing papers

Observation 840e240a-1e69-4139-bd22-f7b474be37b5 · inbound

Nuisance parameters and elliptically symmetric distributions: a geometric approach to parametric and semiparametric efficiency cites this paper.

Nuisance parameters and elliptically symmetric distributions: a geometric approach to parametric and semiparametric efficiency Toward an Asymptotic Efficiency Theory on Regular Parameter Manifolds

Reference 35

Resolution
verified exact
local_arxiv, observed 2026-08-06T21:54:45.226854Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T21:54:45.084535Z digest=sha256:8530b0eb79382eb3802f612bd94aec8ed1320c83b36086d5d487c7007c663e4f