Pith Number

pith:UJ2YC4MN

pith:2013:UJ2YC4MNBFPHWKIY4TPLTHA7UU

not attested not anchored not stored refs pending

An extension of H\"{o}rmander's hypoellipticity theorem

David P. Herzog, Nathan Totz

arxiv:1312.3557 v1 · 2013-12-12 · math.AP · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UJ2YC4MNBFPHWKIY4TPLTHA7UU}

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	2026-05-18T03:04:50.562255Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a27581718d095e7b2918e4deb99c1fa5165c3bb1847d8469341019067dfac8bf

Aliases

arxiv: 1312.3557 · arxiv_version: 1312.3557v1 · doi: 10.48550/arxiv.1312.3557 · pith_short_12: UJ2YC4MNBFPH · pith_short_16: UJ2YC4MNBFPHWKIY · pith_short_8: UJ2YC4MN

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/UJ2YC4MNBFPHWKIY4TPLTHA7UU \
  | 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: a27581718d095e7b2918e4deb99c1fa5165c3bb1847d8469341019067dfac8bf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "192ec510334869b5870a2c4689007f185a2dec1d30c5ff50de870ae6c2f30b2d",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-12-12T17:29:41Z",
    "title_canon_sha256": "4844d79402bd767ceab6d5a7efb1bcafa7ae006321e35ac196344de55ebed2bd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.3557",
    "kind": "arxiv",
    "version": 1
  }
}