Pith Number

pith:ZQWLBUJU

pith:2013:ZQWLBUJUMS5UKIJBZQ7YBREASO

not attested not anchored not stored refs pending

On the rough-paths approach to non-commutative stochastic calculus

Aur\'elien Deya, Ren\'e Schott

arxiv:1301.6238 v2 · 2013-01-26 · math.PR · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZQWLBUJUMS5UKIJBZQ7YBREASO}

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	2026-05-18T01:19:31.095406Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cc2cb0d13464bb452121cc3f80c480939c5bee4acf402fd23f71b4cd77dc6c71

Aliases

arxiv: 1301.6238 · arxiv_version: 1301.6238v2 · doi: 10.48550/arxiv.1301.6238 · pith_short_12: ZQWLBUJUMS5U · pith_short_16: ZQWLBUJUMS5UKIJB · pith_short_8: ZQWLBUJU

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/ZQWLBUJUMS5UKIJBZQ7YBREASO \
  | 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: cc2cb0d13464bb452121cc3f80c480939c5bee4acf402fd23f71b4cd77dc6c71

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e1f6888af0f0c106d7e13f6d886d9ac68c59e7be7279e9377c1faf0f6f05ee15",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-01-26T11:19:11Z",
    "title_canon_sha256": "64231dbc98835e581e489877f063acf87bd8806afaf83a1a87e89142057126f1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.6238",
    "kind": "arxiv",
    "version": 2
  }
}