Pith Number

pith:2H4S36ON

pith:2017:2H4S36ONYJ4TPQRR6UBTV7MLXH

not attested not anchored not stored refs pending

Local martingales in discrete time

Johannes Ruf, Vilmos Prokaj

arxiv:1701.04025 v2 · 2017-01-15 · 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{2H4S36ONYJ4TPQRR6UBTV7MLXH}

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	2026-05-18T00:16:56.627649Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d1f92df9cdc27937c231f5033afd8bb9ed9416e6b8ecd3331e2a58e8aac9a78a

Aliases

arxiv: 1701.04025 · arxiv_version: 1701.04025v2 · doi: 10.48550/arxiv.1701.04025 · pith_short_12: 2H4S36ONYJ4T · pith_short_16: 2H4S36ONYJ4TPQRR · pith_short_8: 2H4S36ON

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/2H4S36ONYJ4TPQRR6UBTV7MLXH \
  | 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: d1f92df9cdc27937c231f5033afd8bb9ed9416e6b8ecd3331e2a58e8aac9a78a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "61b2a44be86fb8857b672bebfe5eb50aed7f5d30203da066e1ffdde2e19e9840",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-01-15T10:38:33Z",
    "title_canon_sha256": "e0b30a9688f5cd0e5dc17b2fc34fe6433690d44262acb345d3a7416fb00a1ed3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.04025",
    "kind": "arxiv",
    "version": 2
  }
}