Pith Number

pith:KHDFZTVE

pith:2008:KHDFZTVEJKJGZW5Z25QIGQSVWV

not attested not anchored not stored refs pending

Nonsmooth Hormander vector fields and their control balls

Annamaria Montanari, Daniele Morbidelli

arxiv:0812.2369 v3 · 2008-12-12 · 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{KHDFZTVEJKJGZW5Z25QIGQSVWV}

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	2026-05-18T04:03:45.583219Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

51c65ccea44a926cdbb9d760834255b57199269e77fe410cbeb59a5411f89c58

Aliases

arxiv: 0812.2369 · arxiv_version: 0812.2369v3 · doi: 10.48550/arxiv.0812.2369 · pith_short_12: KHDFZTVEJKJG · pith_short_16: KHDFZTVEJKJGZW5Z · pith_short_8: KHDFZTVE

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/KHDFZTVEJKJGZW5Z25QIGQSVWV \
  | 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: 51c65ccea44a926cdbb9d760834255b57199269e77fe410cbeb59a5411f89c58

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3917ce639d379fe0b9d00e3981a25331e0bdb15b6f1029ecdf3e258b4b512169",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2008-12-12T19:23:35Z",
    "title_canon_sha256": "83440d002f267ad3dfaffbcd3a07cdc88500a09bf183092f0d94da4b170187c8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0812.2369",
    "kind": "arxiv",
    "version": 3
  }
}