Pith Number

pith:3MM3EKQR

pith:2013:3MM3EKQRBZQNPJZ7JR2MZ7YNLQ

not attested not anchored not stored refs pending

Typical martingale diverges at a typical point

Ji\v{r}\'i Spurn\'y, Ond\v{r}ej Kalenda

arxiv:1311.0194 v2 · 2013-11-01 · 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{3MM3EKQRBZQNPJZ7JR2MZ7YNLQ}

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	2026-05-18T01:17:57.547440Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

db19b22a110e60d7a73f4c74ccff0d5c14bb5c3b6fc33bdd969d7ffec09ee616

Aliases

arxiv: 1311.0194 · arxiv_version: 1311.0194v2 · doi: 10.48550/arxiv.1311.0194 · pith_short_12: 3MM3EKQRBZQN · pith_short_16: 3MM3EKQRBZQNPJZ7 · pith_short_8: 3MM3EKQR

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/3MM3EKQRBZQNPJZ7JR2MZ7YNLQ \
  | 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: db19b22a110e60d7a73f4c74ccff0d5c14bb5c3b6fc33bdd969d7ffec09ee616

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a2a463532b01d65425edf8731a2fc4b683d9a143aba828bec8a908694b3af41e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-11-01T14:38:24Z",
    "title_canon_sha256": "7e32c35148f8ff250dc261cdd43461deeb52034a56efb85ecafc83933d2a65ff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.0194",
    "kind": "arxiv",
    "version": 2
  }
}