Pith Number

pith:UTTWM2XD

pith:2001:UTTWM2XDYCCOVZKZ5TQYWS5HFG

not attested not anchored not stored refs pending

Tangent Processes on Wiener Space

A.S. Ustunel, M. Zakai, Y. Hu

arxiv:math/0110161 v3 · 2001-10-16 · 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{UTTWM2XDYCCOVZKZ5TQYWS5HFG}

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	2026-07-04T14:35:34.120766Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a4e7666ae3c084eae559ece18b4ba7299a96ac2dadb8bff5a51e1062a2144466

Aliases

arxiv: math/0110161 · arxiv_version: math/0110161v3 · doi: 10.48550/arxiv.math/0110161 · pith_short_12: UTTWM2XDYCCO · pith_short_16: UTTWM2XDYCCOVZKZ · pith_short_8: UTTWM2XD

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/UTTWM2XDYCCOVZKZ5TQYWS5HFG \
  | 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: a4e7666ae3c084eae559ece18b4ba7299a96ac2dadb8bff5a51e1062a2144466

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f9570ca3fd9db121988e1753169baca8cb23bbb591bc8958c4922c5b2748bbf2",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "2001-10-16T05:29:19Z",
    "title_canon_sha256": "e5ee3c83e014a9e5173a26cc4d4f14cbb0d09802808f88f343c5fefa9ba12c34"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0110161",
    "kind": "arxiv",
    "version": 3
  }
}