Pith Number

pith:6CGYWEHF

pith:2012:6CGYWEHFXJVA3GDYB366PKVLJY

not attested not anchored not stored refs pending

Geometric versus non-geometric rough paths

David Kelly, Martin Hairer

arxiv:1210.6294 v3 · 2012-10-23 · math.PR · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6CGYWEHFXJVA3GDYB366PKVLJY}

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	2026-05-18T03:03:10.283218Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f08d8b10e5ba6a0d98780efde7aaab4e332c4c11f7fd44eea74b5946845361e5

Aliases

arxiv: 1210.6294 · arxiv_version: 1210.6294v3 · doi: 10.48550/arxiv.1210.6294 · pith_short_12: 6CGYWEHFXJVA · pith_short_16: 6CGYWEHFXJVA3GDY · pith_short_8: 6CGYWEHF

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/6CGYWEHFXJVA3GDYB366PKVLJY \
  | 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: f08d8b10e5ba6a0d98780efde7aaab4e332c4c11f7fd44eea74b5946845361e5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "49028bd317a8a606cac3fe21409917c813db6d04753507a62dc8578e24f29d46",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-10-23T17:15:24Z",
    "title_canon_sha256": "12a85807e0bc4309bd87257013e3d9cbf70885d36b6eafd3a8e9edf497ebb5da"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.6294",
    "kind": "arxiv",
    "version": 3
  }
}