Pith Number

pith:WMWL3644

pith:2015:WMWL3644WNQBHJHXQLXNFHXX5D

not attested not anchored not stored refs pending

Set-valued Brownian motion

Anna Rita Sambucini, Coenraad C.A. Labuschagne, Domenico Candeloro, Valeria Marraffa

arxiv:1509.06518 v1 · 2015-09-22 · math.FA · 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{WMWL3644WNQBHJHXQLXNFHXX5D}

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	2026-05-18T00:03:20.139754Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b32cbdfb9cb36013a4f782eed29ef7e8e432c20c6afafa8e82406a22e8cce7b8

Aliases

arxiv: 1509.06518 · arxiv_version: 1509.06518v1 · doi: 10.48550/arxiv.1509.06518 · pith_short_12: WMWL3644WNQB · pith_short_16: WMWL3644WNQBHJHX · pith_short_8: WMWL3644

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/WMWL3644WNQBHJHXQLXNFHXX5D \
  | 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: b32cbdfb9cb36013a4f782eed29ef7e8e432c20c6afafa8e82406a22e8cce7b8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "17986e8597515f234d90e5bf46f37328109f4dc9796ef182fc26219fa77b0453",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-09-22T09:11:44Z",
    "title_canon_sha256": "3e35d01dfdcf54bf2b79bded3495175dedc0d1568ed493a7ac3c25a77ca79cf2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.06518",
    "kind": "arxiv",
    "version": 1
  }
}