Pith Number

pith:PA7ZJJ7I

pith:2018:PA7ZJJ7IOTSVQ3CMAHUI6EUXBK

not attested not anchored not stored refs pending

Generic Singularities of the 3D-Contact sub-Riemannian Conjugate Locus

Beno\^it Bonnet, Francesco Rossi, Jean-Paul Gauthier

arxiv:1812.01508 v2 · 2018-11-27 · math.DG · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PA7ZJJ7IOTSVQ3CMAHUI6EUXBK}

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	2026-05-17T23:41:30.825751Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

783f94a7e874e5586c4c01e88f12970aa067bdf9bf645392610c83be19decb17

Aliases

arxiv: 1812.01508 · arxiv_version: 1812.01508v2 · doi: 10.48550/arxiv.1812.01508 · pith_short_12: PA7ZJJ7IOTSV · pith_short_16: PA7ZJJ7IOTSVQ3CM · pith_short_8: PA7ZJJ7I

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/PA7ZJJ7IOTSVQ3CMAHUI6EUXBK \
  | 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: 783f94a7e874e5586c4c01e88f12970aa067bdf9bf645392610c83be19decb17

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2f9dd47c16015b3b7afc5965f7c9d58ee507c72f9f156b79bb6eed6a16734e37",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2018-11-27T10:21:09Z",
    "title_canon_sha256": "da885ac6b7a99d638a9c36ec73316a6e798c9fb1ed49190b62964113f06621d1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.01508",
    "kind": "arxiv",
    "version": 2
  }
}