Paper Citation Record · LEDGER

Statistically Meaningful Geometry (SMG) Beyond the Euclidean Paradigm, with Application to Generative AI

As of 21 August 2026, this Paper Citation Record lists 41 of 41 outbound references and 0 inbound Pith citation observations for arXiv:2607.03329.

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

pith.paper-citation-record.v1
2607.03329 v1

Coverage vector

measured 41 of 41 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-12T03:15:21.102674Z

measured 41 of 41 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+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

41 of 41 outbound references displayed

verified exact0
verified fuzzy0
unresolved41
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation a974781d-96e6-4610-8da0-048922d83176 · outbound

This paper cites an unresolved cited work.

Statistically Meaningful Geometry (SMG) Beyond the Euclidean Paradigm, with Application to Generative AI Unresolved cited work

Reference 1

Resolution: unresolved; no resolver link, observed 2026-07-12T03:15:21.102674Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 81125221-8d27-4839-88cb-7bd9952bba33 · outbound

This paper cites an unresolved cited work.

Statistically Meaningful Geometry (SMG) Beyond the Euclidean Paradigm, with Application to Generative AI Unresolved cited work

Reference 2

Resolution: unresolved; no resolver link, observed 2026-07-12T03:15:21.102674Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 29689bbc-c0b3-44e2-92ee-0c8c3b5bb9bb · outbound

This paper cites an unresolved cited work.

Statistically Meaningful Geometry (SMG) Beyond the Euclidean Paradigm, with Application to Generative AI Unresolved cited work

Reference 3

Resolution: unresolved; no resolver link, observed 2026-07-12T03:15:21.102674Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 36a1dab5-8462-4283-ba35-dee92b76582c · outbound

This paper cites an unresolved cited work.

Statistically Meaningful Geometry (SMG) Beyond the Euclidean Paradigm, with Application to Generative AI Unresolved cited work

Reference 4

Resolution: unresolved; no resolver link, observed 2026-07-12T03:15:21.102674Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4a6988bf-dd8d-4596-ae16-a0a54f8bff0b · outbound

This paper cites an unresolved cited work.

Statistically Meaningful Geometry (SMG) Beyond the Euclidean Paradigm, with Application to Generative AI Unresolved cited work

Reference 5

Resolution: unresolved; no resolver link, observed 2026-07-12T03:15:21.102674Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 363aee74-c25e-4323-a9fb-2c8702942869 · outbound

This paper cites L., Foster, D.

Statistically Meaningful Geometry (SMG) Beyond the Euclidean Paradigm, with Application to Generative AI L., Foster, D

Reference 6

Resolution: unresolved; no resolver link, observed 2026-07-12T03:15:21.102674Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9f11b21d-1a68-41e1-97cd-a5b0ecd7191f · outbound

This paper cites Double Descent.

Statistically Meaningful Geometry (SMG) Beyond the Euclidean Paradigm, with Application to Generative AI Double Descent

Reference 7

Resolution: unresolved; no resolver link, observed 2026-07-12T03:15:21.102674Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation efea22b4-e2db-4d7d-948e-4a10e54798c8 · outbound

This paper cites an unresolved cited work.

Statistically Meaningful Geometry (SMG) Beyond the Euclidean Paradigm, with Application to Generative AI Unresolved cited work

Reference 8

Resolution: unresolved; no resolver link, observed 2026-07-12T03:15:21.102674Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 71ebe9ef-863a-409a-b59d-b049acf451ac · outbound

This paper cites an unresolved cited work.

Statistically Meaningful Geometry (SMG) Beyond the Euclidean Paradigm, with Application to Generative AI Unresolved cited work

Reference 9

Resolution: unresolved; no resolver link, observed 2026-07-12T03:15:21.102674Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 410794a4-42eb-4839-90cb-30909d7a9f70 · outbound

This paper cites an unresolved cited work.

Statistically Meaningful Geometry (SMG) Beyond the Euclidean Paradigm, with Application to Generative AI Unresolved cited work

Reference 10

Resolution: unresolved; no resolver link, observed 2026-07-12T03:15:21.102674Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 60ff0ab7-c5f2-4b01-80f4-0ab25307e263 · outbound

This paper cites an unresolved cited work.

Statistically Meaningful Geometry (SMG) Beyond the Euclidean Paradigm, with Application to Generative AI Unresolved cited work

Reference 11

Resolution: unresolved; no resolver link, observed 2026-07-12T03:15:21.102674Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8d31103f-a497-4db6-8898-8090ebbf5c1b · outbound

This paper cites an unresolved cited work.

Statistically Meaningful Geometry (SMG) Beyond the Euclidean Paradigm, with Application to Generative AI Unresolved cited work

Reference 12

Resolution: unresolved; no resolver link, observed 2026-07-12T03:15:21.102674Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5eac9f54-9352-496e-9fac-a1c509955ae0 · outbound

This paper cites an unresolved cited work.

Statistically Meaningful Geometry (SMG) Beyond the Euclidean Paradigm, with Application to Generative AI Unresolved cited work

Reference 13

Resolution: unresolved; no resolver link, observed 2026-07-12T03:15:21.102674Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d32f86e2-8738-4d4d-8716-7e6cd436156e · outbound

This paper cites an unresolved cited work.

Statistically Meaningful Geometry (SMG) Beyond the Euclidean Paradigm, with Application to Generative AI Unresolved cited work

Reference 14

Resolution: unresolved; no resolver link, observed 2026-07-12T03:15:21.102674Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d2287e89-3229-4b66-94de-c61e4afda2c0 · outbound

This paper cites an unresolved cited work.

Statistically Meaningful Geometry (SMG) Beyond the Euclidean Paradigm, with Application to Generative AI Unresolved cited work

Reference 15

Resolution: unresolved; no resolver link, observed 2026-07-12T03:15:21.102674Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e5fd0de7-22bb-48e6-8a58-232e2f309f54 · outbound

This paper cites an unresolved cited work.

Statistically Meaningful Geometry (SMG) Beyond the Euclidean Paradigm, with Application to Generative AI Unresolved cited work

Reference 16

Resolution: unresolved; no resolver link, observed 2026-07-12T03:15:21.102674Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b79cebec-9861-45a8-929c-2962c735708b · outbound

This paper cites an unresolved cited work.

Statistically Meaningful Geometry (SMG) Beyond the Euclidean Paradigm, with Application to Generative AI Unresolved cited work

Reference 17

Resolution: unresolved; no resolver link, observed 2026-07-12T03:15:21.102674Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 860803b0-032f-433a-957d-86c20ae9eec8 · outbound

This paper cites Information geometry of diffeomorphism groups.

Statistically Meaningful Geometry (SMG) Beyond the Euclidean Paradigm, with Application to Generative AI Information geometry of diffeomorphism groups

Reference 18

Resolution: unresolved; no resolver link, observed 2026-07-12T03:15:21.102674Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f88c2c32-ee1f-4d82-a4b2-d8e8b200d2e7 · outbound

This paper cites an unresolved cited work.

Statistically Meaningful Geometry (SMG) Beyond the Euclidean Paradigm, with Application to Generative AI Unresolved cited work

Reference 19

Resolution: unresolved; no resolver link, observed 2026-07-12T03:15:21.102674Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 38f92067-2aed-4e0d-9dcf-b0e116191525 · outbound

This paper cites an unresolved cited work.

Statistically Meaningful Geometry (SMG) Beyond the Euclidean Paradigm, with Application to Generative AI Unresolved cited work

Reference 20

Resolution: unresolved; no resolver link, observed 2026-07-12T03:15:21.102674Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d7dd7d9b-b913-4d16-ac02-d267f5c54f69 · outbound

This paper cites an unresolved cited work.

Statistically Meaningful Geometry (SMG) Beyond the Euclidean Paradigm, with Application to Generative AI Unresolved cited work

Reference 21

Resolution: unresolved; no resolver link, observed 2026-07-12T03:15:21.102674Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 85d6844c-dfc6-4c3f-b197-9f32f7aa326d · outbound

This paper cites an unresolved cited work.

Statistically Meaningful Geometry (SMG) Beyond the Euclidean Paradigm, with Application to Generative AI Unresolved cited work

Reference 22

Resolution: unresolved; no resolver link, observed 2026-07-12T03:15:21.102674Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 38784dbf-c8bf-4a69-ad09-99d47ef32cc0 · outbound

This paper cites an unresolved cited work.

Statistically Meaningful Geometry (SMG) Beyond the Euclidean Paradigm, with Application to Generative AI Unresolved cited work

Reference 23

Resolution: unresolved; no resolver link, observed 2026-07-12T03:15:21.102674Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 26131b43-aa7d-47fe-9ced-d79c780315f6 · outbound

This paper cites an unresolved cited work.

Statistically Meaningful Geometry (SMG) Beyond the Euclidean Paradigm, with Application to Generative AI Unresolved cited work

Reference 24

Resolution: unresolved; no resolver link, observed 2026-07-12T03:15:21.102674Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3de56746-cac2-4539-b387-2753ced87673 · outbound

This paper cites A Note on the PAC Bayesian Theorem.

Statistically Meaningful Geometry (SMG) Beyond the Euclidean Paradigm, with Application to Generative AI A Note on the PAC Bayesian Theorem

Reference 25

Resolution: unresolved; no resolver link, observed 2026-07-12T03:15:21.102674Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 617b94d5-b6dc-47ac-8ca4-6d4d8fcba90d · outbound

This paper cites an unresolved cited work.

Statistically Meaningful Geometry (SMG) Beyond the Euclidean Paradigm, with Application to Generative AI Unresolved cited work

Reference 26

Resolution: unresolved; no resolver link, observed 2026-07-12T03:15:21.102674Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f14ff4f0-6b49-4cc0-938e-b21b0425e6b6 · outbound

This paper cites an unresolved cited work.

Statistically Meaningful Geometry (SMG) Beyond the Euclidean Paradigm, with Application to Generative AI Unresolved cited work

Reference 27

Resolution: unresolved; no resolver link, observed 2026-07-12T03:15:21.102674Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a750af14-5747-40bd-ae93-c2b6a5edc7e7 · outbound

This paper cites an unresolved cited work.

Statistically Meaningful Geometry (SMG) Beyond the Euclidean Paradigm, with Application to Generative AI Unresolved cited work

Reference 28

Resolution: unresolved; no resolver link, observed 2026-07-12T03:15:21.102674Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b7515d87-6bb5-4b38-84c4-1c7c00ce69a9 · outbound

This paper cites an unresolved cited work.

Statistically Meaningful Geometry (SMG) Beyond the Euclidean Paradigm, with Application to Generative AI Unresolved cited work

Reference 29

Resolution: unresolved; no resolver link, observed 2026-07-12T03:15:21.102674Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation dfc8bfc3-d384-4a2b-b773-b5ec18269058 · outbound

This paper cites Statistically Verifiable Directions.

Statistically Meaningful Geometry (SMG) Beyond the Euclidean Paradigm, with Application to Generative AI Statistically Verifiable Directions

Reference 30

Resolution: unresolved; no resolver link, observed 2026-07-12T03:15:21.102674Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0c2e6e65-0cda-401e-91fe-03d64685b7c1 · outbound

This paper cites an unresolved cited work.

Statistically Meaningful Geometry (SMG) Beyond the Euclidean Paradigm, with Application to Generative AI Unresolved cited work

Reference 31

Resolution: unresolved; no resolver link, observed 2026-07-12T03:15:21.102674Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7f30ad92-a8ed-470f-888d-7e84e0540b9c · outbound

This paper cites J., & Mohamed, S.

Statistically Meaningful Geometry (SMG) Beyond the Euclidean Paradigm, with Application to Generative AI J., & Mohamed, S

Reference 32

Resolution: unresolved; no resolver link, observed 2026-07-12T03:15:21.102674Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4737f6f5-c40e-4d6d-b1b3-61b63c030a93 · outbound

This paper cites an unresolved cited work.

Statistically Meaningful Geometry (SMG) Beyond the Euclidean Paradigm, with Application to Generative AI Unresolved cited work

Reference 33

Resolution: unresolved; no resolver link, observed 2026-07-12T03:15:21.102674Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e84a66c9-7cfe-4ed6-9eeb-a069dcf8f2c2 · outbound

This paper cites an unresolved cited work.

Statistically Meaningful Geometry (SMG) Beyond the Euclidean Paradigm, with Application to Generative AI Unresolved cited work

Reference 34

Resolution: unresolved; no resolver link, observed 2026-07-12T03:15:21.102674Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 90f445ea-0216-4b09-a63d-92a340b72543 · outbound

This paper cites an unresolved cited work.

Statistically Meaningful Geometry (SMG) Beyond the Euclidean Paradigm, with Application to Generative AI Unresolved cited work

Reference 35

Resolution: unresolved; no resolver link, observed 2026-07-12T03:15:21.102674Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 31cd3236-b57b-49d5-b6bc-5b08b2b1ebca · outbound

This paper cites an unresolved cited work.

Statistically Meaningful Geometry (SMG) Beyond the Euclidean Paradigm, with Application to Generative AI Unresolved cited work

Reference 36

Resolution: unresolved; no resolver link, observed 2026-07-12T03:15:21.102674Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0a336a26-7a58-42bf-9443-aa104f22f543 · outbound

This paper cites an unresolved cited work.

Statistically Meaningful Geometry (SMG) Beyond the Euclidean Paradigm, with Application to Generative AI Unresolved cited work

Reference 37

Resolution: unresolved; no resolver link, observed 2026-07-12T03:15:21.102674Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 91efb13a-94b8-4d4a-85d1-e80037c082db · outbound

This paper cites an unresolved cited work.

Statistically Meaningful Geometry (SMG) Beyond the Euclidean Paradigm, with Application to Generative AI Unresolved cited work

Reference 38

Resolution: unresolved; no resolver link, observed 2026-07-12T03:15:21.102674Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cbb896f7-e2fa-4efd-93ab-e709b374ec85 · outbound

This paper cites Statistically Invariant.

Statistically Meaningful Geometry (SMG) Beyond the Euclidean Paradigm, with Application to Generative AI Statistically Invariant

Reference 39

Resolution: unresolved; no resolver link, observed 2026-07-12T03:15:21.102674Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 18dc0e40-d9f0-42b1-b0a6-3a09d0c423ac · outbound

This paper cites an unresolved cited work.

Statistically Meaningful Geometry (SMG) Beyond the Euclidean Paradigm, with Application to Generative AI Unresolved cited work

Reference 40

Resolution: unresolved; no resolver link, observed 2026-07-12T03:15:21.102674Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 557aa049-cd31-4045-9963-93ff19a133a2 · outbound

This paper cites an unresolved cited work.

Statistically Meaningful Geometry (SMG) Beyond the Euclidean Paradigm, with Application to Generative AI Unresolved cited work

Reference 41

Resolution: unresolved; no resolver link, observed 2026-07-12T03:15:21.102674Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.