Pith Number

pith:WRMPGHBQ

pith:2011:WRMPGHBQMXSFMWGUCWSOE5WYRW

not attested not anchored not stored refs pending

Stochastic flows related to Walsh Brownian motion

Hatem Hajri

arxiv:1101.1575 v2 · 2011-01-08 · 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{WRMPGHBQMXSFMWGUCWSOE5WYRW}

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	2026-05-18T04:11:51.679724Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b458f31c3065e45658d415a4e276d88d947a020d1b79461028a139ffda723e39

Aliases

arxiv: 1101.1575 · arxiv_version: 1101.1575v2 · doi: 10.48550/arxiv.1101.1575 · pith_short_12: WRMPGHBQMXSF · pith_short_16: WRMPGHBQMXSFMWGU · pith_short_8: WRMPGHBQ

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/WRMPGHBQMXSFMWGUCWSOE5WYRW \
  | 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: b458f31c3065e45658d415a4e276d88d947a020d1b79461028a139ffda723e39

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1a68e1383105a7cfc42305e37b172dd597b19dbc2be5332419add7734b18d14f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-01-08T08:33:44Z",
    "title_canon_sha256": "368a39f6ec0e468946a2e9673a5ed8cc598e6876ed89183a0725b5065fc7979d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.1575",
    "kind": "arxiv",
    "version": 2
  }
}