Paper Citation Record · LEDGER

Frobenius theorem and fine structure of tangency sets to non-involutive distributions

As of 8 August 2026, this Paper Citation Record lists 33 of 33 outbound references and 0 inbound Pith citation observations for arXiv:2506.03715.

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

pith.paper-citation-record.v1
2506.03715 v1

Coverage vector

measured 33 of 33 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T11:10:58.128056Z

measured 33 of 33 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+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

33 of 33 outbound references displayed

verified exact9
verified fuzzy17
unresolved2
parse uncertain0
malformed identifier3
metadata mismatch2

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation eaf383a8-af51-4ed9-a726-50bf7f8033bb · outbound

This paper cites A Lusin type theorem for gradients.

Frobenius theorem and fine structure of tangency sets to non-involutive distributions A Lusin type theorem for gradients

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:10:59.685228Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 49dc1e36-d151-4e7e-a630-10053a1ca5b8 · outbound

This paper cites Work in Progrss.

Frobenius theorem and fine structure of tangency sets to non-involutive distributions Work in Progrss

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:10:59.674509Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation f35bda3b-01e3-438f-a2c5-afb026a48cd0 · outbound

This paper cites Tangency sets of non-involutive distributions and unrectifiability in Carnot-Carath\'{e}odory spaces.

Frobenius theorem and fine structure of tangency sets to non-involutive distributions Tangency sets of non-involutive distributions and unrectifiability in Carnot-Carath\'{e}odory spaces

Reference 3

Resolution: verified exact; local_arxiv, observed 2026-08-07T11:10:59.487580Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 0bfe3a28-daf0-48e5-a964-db9a9598d14a · outbound

This paper cites On the geometric structure of currents tangent to smooth distributions.

Frobenius theorem and fine structure of tangency sets to non-involutive distributions On the geometric structure of currents tangent to smooth distributions

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:10:59.663656Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 76884aa0-67d0-4194-b6d4-c763cc56bdad · outbound

This paper cites Rectifiability of sets of finite perimeter in Carnot groups: existence of a tangent hyperplane.

Frobenius theorem and fine structure of tangency sets to non-involutive distributions Rectifiability of sets of finite perimeter in Carnot groups: existence of a tangent hyperplane

Reference 5

Resolution: malformed identifier; no resolver link, observed 2026-08-07T11:10:55.710898Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d7bcc3ee-4ed9-4c6f-8214-ea679140982c · outbound

This paper cites Carnot rectifiability and Alberti represen- tations.

Frobenius theorem and fine structure of tangency sets to non-involutive distributions Carnot rectifiability and Alberti represen- tations

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:10:59.653103Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 1db3e7e5-e820-4d5c-b0eb-7652ec4833d0 · outbound

This paper cites Pauls rectifiable and purely Pauls un- rectifiable smooth hypersurfaces.

Frobenius theorem and fine structure of tangency sets to non-involutive distributions Pauls rectifiable and purely Pauls un- rectifiable smooth hypersurfaces

Reference 7

Resolution: metadata mismatch; raw_fallback, observed 2026-08-07T11:10:59.473358Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation d28d08d5-7aea-414c-8f08-c31c798482f0 · outbound

This paper cites Lipschitz Carnot-Carathéodory structures and their limits.

Frobenius theorem and fine structure of tangency sets to non-involutive distributions Lipschitz Carnot-Carathéodory structures and their limits

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:10:59.641995Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 3b5036e1-7eba-472e-bf95-0f5324d1e687 · outbound

This paper cites On rectifiable measures in Carnot groups: existence of density.

Frobenius theorem and fine structure of tangency sets to non-involutive distributions On rectifiable measures in Carnot groups: existence of density

Reference 9

Resolution: verified exact; doi, observed 2026-08-07T11:10:59.239251Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation bc8183ec-7a35-44bc-804e-7fc4b50431ce · outbound

This paper cites On rectifiable measures in Carnot groups: Marstrand-Mattilarectifiabilitycriterion.

Frobenius theorem and fine structure of tangency sets to non-involutive distributions On rectifiable measures in Carnot groups: Marstrand-Mattilarectifiabilitycriterion

Reference 10

Resolution: metadata mismatch; raw_fallback, observed 2026-08-07T11:10:59.397221Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation fecd28f1-13a7-4cfe-9373-d649a3defccf · outbound

This paper cites On rectifiable measures in Carnot groups: representation.

Frobenius theorem and fine structure of tangency sets to non-involutive distributions On rectifiable measures in Carnot groups: representation

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:10:59.631627Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 0d5a9c30-995a-4bb1-a482-136cc78ced05 · outbound

This paper cites Size of characteristic sets and functions with prescribed gradient.

Frobenius theorem and fine structure of tangency sets to non-involutive distributions Size of characteristic sets and functions with prescribed gradient

Reference 12

Resolution: verified exact; doi, observed 2026-08-07T11:10:59.228081Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation d6fa9903-acb4-4d13-a421-c0c8f3761bfc · outbound

This paper cites Size of tangencies to non- involutve distributions.

Frobenius theorem and fine structure of tangency sets to non-involutive distributions Size of tangencies to non- involutve distributions

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:10:59.620482Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 5260eefb-142c-4826-a533-47ba3a625ad3 · outbound

This paper cites On the converse of Pansu’s theorem.

Frobenius theorem and fine structure of tangency sets to non-involutive distributions On the converse of Pansu’s theorem

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:10:59.609763Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation e31cba50-4aeb-4b20-89d1-ba71286f0c92 · outbound

This paper cites On the structure ofA-free measures and applications.

Frobenius theorem and fine structure of tangency sets to non-involutive distributions On the structure ofA-free measures and applications

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-07T11:10:56.356519Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e63b4f71-0400-4aa9-bc00-079d9c516b7a · outbound

This paper cites A note on some topological properties of sets with finite perimeter.

Frobenius theorem and fine structure of tangency sets to non-involutive distributions A note on some topological properties of sets with finite perimeter

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:10:59.599009Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 94b1bf5c-4371-4abb-ae84-519fe2a61c55 · outbound

This paper cites The tangency of aC1 smooth submanifold with respect to a non- involutiveC 1 distribution has no superdensity points.

Frobenius theorem and fine structure of tangency sets to non-involutive distributions The tangency of aC1 smooth submanifold with respect to a non- involutiveC 1 distribution has no superdensity points

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:10:59.588392Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 053f848c-fed2-4c80-899c-3bf2b0a72c74 · outbound

This paper cites Hitchhiker’s guide to the fractional Sobolev spaces.

Frobenius theorem and fine structure of tangency sets to non-involutive distributions Hitchhiker’s guide to the fractional Sobolev spaces

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:10:59.578575Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 347f38ba-a42d-4258-a8b7-62eab8699261 · outbound

This paper cites On the Differentiability of Lipschitz-Besov Functions.

Frobenius theorem and fine structure of tangency sets to non-involutive distributions On the Differentiability of Lipschitz-Besov Functions

Reference 19

Resolution: verified exact; raw_fallback, observed 2026-08-07T11:10:59.326896Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 5edc7ae5-9ec7-4c20-a252-00d8b26374d2 · outbound

This paper cites Federer.Geometric measure theory.

Frobenius theorem and fine structure of tangency sets to non-involutive distributions Federer.Geometric measure theory

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:10:59.567700Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation fe20c7c0-7500-4fc0-a483-3507a193be75 · outbound

This paper cites Intrinsic Lipschitz graphs within Carnot groups.

Frobenius theorem and fine structure of tangency sets to non-involutive distributions Intrinsic Lipschitz graphs within Carnot groups

Reference 21

Resolution: verified exact; doi, observed 2026-08-07T11:10:59.174776Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation aaea78fa-19c6-4710-9eea-fddfcc9045f4 · outbound

This paper cites Rectifiability and perimeter in the Heisenberg group.

Frobenius theorem and fine structure of tangency sets to non-involutive distributions Rectifiability and perimeter in the Heisenberg group

Reference 22

Resolution: verified exact; doi, observed 2026-08-07T11:10:58.996794Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 95d178f4-6aaf-4ac7-acf2-274bdb7eec4d · outbound

This paper cites Carnot-Carathéodoryspacesseenfromwithin.

Frobenius theorem and fine structure of tangency sets to non-involutive distributions Carnot-Carathéodoryspacesseenfromwithin

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:10:59.557035Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 8bad7dc1-aa22-45e3-9197-24867241aef9 · outbound

This paper cites On conditions for unrectifiability of a metric space.

Frobenius theorem and fine structure of tangency sets to non-involutive distributions On conditions for unrectifiability of a metric space

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:10:59.545240Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation d5f5c733-85d7-4233-baed-96dbf008285a · outbound

This paper cites Fractals and Self-Similarity.

Frobenius theorem and fine structure of tangency sets to non-involutive distributions Fractals and Self-Similarity

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:10:59.535300Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation e376daea-818f-46a3-bef0-ab7c326e1df1 · outbound

This paper cites Rectifiability and parameterization of intrinsic regular surfaces in the Heisenberg group.

Frobenius theorem and fine structure of tangency sets to non-involutive distributions Rectifiability and parameterization of intrinsic regular surfaces in the Heisenberg group

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:10:59.524443Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation fb96e3c2-2fe5-4e36-a8c4-fcd8ef681f8b · outbound

This paper cites Ahlfors-regular distances on the Heisenberg group without biLipschitz pieces.

Frobenius theorem and fine structure of tangency sets to non-involutive distributions Ahlfors-regular distances on the Heisenberg group without biLipschitz pieces

Reference 27

Resolution: verified exact; doi, observed 2026-08-07T11:10:58.801751Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 37259a9e-e22b-438c-bd6d-f66d84620411 · outbound

This paper cites Characteristic points, rectifiability and perimeter measure on stratified groups.

Frobenius theorem and fine structure of tangency sets to non-involutive distributions Characteristic points, rectifiability and perimeter measure on stratified groups

Reference 28

Resolution: verified exact; doi, observed 2026-08-07T11:10:58.586906Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 894bf51e-b18b-430c-a325-974c3b78761b · outbound

This paper cites Unrectifiabilityandrigidityinstratifiedgroups.

Frobenius theorem and fine structure of tangency sets to non-involutive distributions Unrectifiabilityandrigidityinstratifiedgroups

Reference 29

Resolution: malformed identifier; raw_fallback, observed 2026-08-07T11:10:59.511780Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 6232b564-3fbe-4c51-9fbf-6e26fc53cf90 · outbound

This paper cites an unresolved cited work.

Frobenius theorem and fine structure of tangency sets to non-involutive distributions Unresolved cited work

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-07T11:10:57.680100Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8b6db89b-f161-4058-878e-71a79de06bdb · outbound

This paper cites Geometry of 1-codimensional measures in Heisenberg groups.

Frobenius theorem and fine structure of tangency sets to non-involutive distributions Geometry of 1-codimensional measures in Heisenberg groups

Reference 31

Resolution: verified exact; doi, observed 2026-08-07T11:10:58.401165Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 8bdc4de1-c65d-48ad-b750-eadc6ae9711c · outbound

This paper cites Marstrand-Mattila rectifiability criterion for 1-codimensional mea- sures in Carnot groups.

Frobenius theorem and fine structure of tangency sets to non-involutive distributions Marstrand-Mattila rectifiability criterion for 1-codimensional mea- sures in Carnot groups

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:10:59.500011Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 89333015-4bcd-4da9-8955-63bfba769a79 · outbound

This paper cites Lipschitz graphs and currents in Heisenberg groups.

Frobenius theorem and fine structure of tangency sets to non-involutive distributions Lipschitz graphs and currents in Heisenberg groups

Reference 33

Resolution: malformed identifier; no resolver link, observed 2026-08-07T11:10:58.128056Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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