Pith Number

pith:LPJCWZ5M

pith:2025:LPJCWZ5MXIEHIBSB6TDY6BRMRG

not attested not anchored not stored refs pending

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

Andrea Merlo, Annalisa Massaccesi, Giovanni Alberti

arxiv:2503.01373 v1 · 2025-03-03 · math.DG · math.FA · math.MG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LPJCWZ5MXIEHIBSB6TDY6BRMRG}

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Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

1 paper in Pith

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

Receipt and verification

First computed	2026-07-05T10:23:05.811247Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5bd22b67acba08740641f4c78f062c89b45b03ed05af6fdf7787ac9fd1f82fbf

Aliases

arxiv: 2503.01373 · arxiv_version: 2503.01373v1 · doi: 10.48550/arxiv.2503.01373 · pith_short_12: LPJCWZ5MXIEH · pith_short_16: LPJCWZ5MXIEHIBSB · pith_short_8: LPJCWZ5M

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/LPJCWZ5MXIEHIBSB6TDY6BRMRG \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 5bd22b67acba08740641f4c78f062c89b45b03ed05af6fdf7787ac9fd1f82fbf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9decc873b74b12690fbf307b3042d4b8cab6dbb800f37513c08adc2877b87029",
    "cross_cats_sorted": [
      "math.FA",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2025-03-03T10:16:05Z",
    "title_canon_sha256": "2fcb663942667c84a6d0f6f8efae43910934c4b7ae802f6f800111cdef70dae6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2503.01373",
    "kind": "arxiv",
    "version": 1
  }
}