Pith Number

pith:B3EDJOPF

pith:2012:B3EDJOPFKRJLKURRXUMAWT7MIB

not attested not anchored not stored refs pending

Conditioned Martingales

Johannes Ruf, Nicolas Perkowski

arxiv:1203.2587 v2 · 2012-03-12 · 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{B3EDJOPFKRJLKURRXUMAWT7MIB}

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	2026-05-18T03:43:42.249324Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0ec834b9e55452b55231bd180b4fec405825a7611cb0ba877262790363081cea

Aliases

arxiv: 1203.2587 · arxiv_version: 1203.2587v2 · doi: 10.48550/arxiv.1203.2587 · pith_short_12: B3EDJOPFKRJL · pith_short_16: B3EDJOPFKRJLKURR · pith_short_8: B3EDJOPF

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/B3EDJOPFKRJLKURRXUMAWT7MIB \
  | 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: 0ec834b9e55452b55231bd180b4fec405825a7611cb0ba877262790363081cea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "81bd2d533c293c3247445064f5492331a5743d1860f27c0bf376ca6c9df58388",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-03-12T18:55:57Z",
    "title_canon_sha256": "bcd9bb7c38574cbc79aa8242aa0bae47eb89f1a7cc6afdc446d4b5d9e235dcce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.2587",
    "kind": "arxiv",
    "version": 2
  }
}