Pith Number

pith:GZG6ZBST

pith:2019:GZG6ZBSTC6JSIDEOSIEXMI3TVB

not attested not anchored not stored refs pending

Self-similar martingales derived from Root embedding

Antoine-Marie Bogso, Mbehou Mohamed

arxiv:1906.07746 v1 · 2019-06-18 · 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{GZG6ZBSTC6JSIDEOSIEXMI3TVB}

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	2026-05-17T23:42:57.875301Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

364dec86531793240c8e9209762373a846aad47e423d38b68079265304bb9508

Aliases

arxiv: 1906.07746 · arxiv_version: 1906.07746v1 · doi: 10.48550/arxiv.1906.07746 · pith_short_12: GZG6ZBSTC6JS · pith_short_16: GZG6ZBSTC6JSIDEO · pith_short_8: GZG6ZBST

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/GZG6ZBSTC6JSIDEOSIEXMI3TVB \
  | 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: 364dec86531793240c8e9209762373a846aad47e423d38b68079265304bb9508

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "52e148dc88d99c910498a7389e203ad669b87bec54bdc735324bb2d05e090b0b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2019-06-18T18:06:49Z",
    "title_canon_sha256": "5f65530213e49c24273e1c9fb88c92fd1c360d8e6acf424dfff1f45e67b84b40"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.07746",
    "kind": "arxiv",
    "version": 1
  }
}