Pith Number

pith:FNTXBWBV

pith:2011:FNTXBWBVH6X3BT6XKUPYPVUVBR

not attested not anchored not stored refs pending

A Frobenius-type theorem for singular Lipschitz distributions

Annamaria Montanari, Daniele Morbidelli

arxiv:1110.4519 v3 · 2011-10-20 · math.CA · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FNTXBWBVH6X3BT6XKUPYPVUVBR}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

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.

Receipt and verification

First computed	2026-05-18T03:40:03.330588Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b6770d8353fafb0cfd7551f87d6950c511b41a44e88f69850f66d05589397f7

Aliases

arxiv: 1110.4519 · arxiv_version: 1110.4519v3 · doi: 10.48550/arxiv.1110.4519 · pith_short_12: FNTXBWBVH6X3 · pith_short_16: FNTXBWBVH6X3BT6X · pith_short_8: FNTXBWBV

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/FNTXBWBVH6X3BT6XKUPYPVUVBR \
  | 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: 2b6770d8353fafb0cfd7551f87d6950c511b41a44e88f69850f66d05589397f7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "31030a425ac40068c3d7b5c6dc9a3bfe4a9f391d3445503d792cbcfe993ae938",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2011-10-20T13:07:03Z",
    "title_canon_sha256": "7862871483cb9147cd9ff936da75245559ef0b9b3e024dd864b32b807792d669"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.4519",
    "kind": "arxiv",
    "version": 3
  }
}