Pith Number

pith:AZ7JVF56

pith:2017:AZ7JVF56FGR4Y62VKKF53XJ5W4

not attested not anchored not stored refs pending

On The Brownian Loop Measure

Michel Zinsmeister, Yong Han, Yuefei Wang

arxiv:1707.00965 v1 · 2017-07-04 · math-ph · math.MP · 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{AZ7JVF56FGR4Y62VKKF53XJ5W4}

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	2026-05-18T00:40:56.529746Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

067e9a97be29a3cc7b55528bdddd3db712154f7dee729093c60b9a1c4e991e3c

Aliases

arxiv: 1707.00965 · arxiv_version: 1707.00965v1 · doi: 10.48550/arxiv.1707.00965 · pith_short_12: AZ7JVF56FGR4 · pith_short_16: AZ7JVF56FGR4Y62V · pith_short_8: AZ7JVF56

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/AZ7JVF56FGR4Y62VKKF53XJ5W4 \
  | 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: 067e9a97be29a3cc7b55528bdddd3db712154f7dee729093c60b9a1c4e991e3c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "06b6c823e560a82210542213ae1f457eaf085f3fbbc8ce8614b068fa44c1057f",
    "cross_cats_sorted": [
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2017-07-04T13:15:38Z",
    "title_canon_sha256": "2344c00d65e0d71d049a2db3b81b180bca0d56a7baf5691af171641e4e292b47"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.00965",
    "kind": "arxiv",
    "version": 1
  }
}