Pith Number

pith:DOEC4W6O

pith:2013:DOEC4W6O3RQFMACMOE5ZUSSDLV

not attested not anchored not stored refs pending

Polya urns via the contraction method

Margarete Knape, Ralph Neininger

arxiv:1301.3404 v3 · 2013-01-15 · 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{DOEC4W6O3RQFMACMOE5ZUSSDLV}

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	2026-05-17T23:53:18.012466Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1b882e5bcedc6056004c713b9a4a435d70a3140b63836328838f6ec5775c3d93

Aliases

arxiv: 1301.3404 · arxiv_version: 1301.3404v3 · doi: 10.48550/arxiv.1301.3404 · pith_short_12: DOEC4W6O3RQF · pith_short_16: DOEC4W6O3RQFMACM · pith_short_8: DOEC4W6O

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/DOEC4W6O3RQFMACMOE5ZUSSDLV \
  | 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: 1b882e5bcedc6056004c713b9a4a435d70a3140b63836328838f6ec5775c3d93

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "175a53d0afd5acefa9924e30ba8bf37805bec8b3f37705c99f847b5bc6e0c6d1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-01-15T16:26:27Z",
    "title_canon_sha256": "21ef3d1e7d502d7a74d3f8051dea94ccbd701aec326b0b2fb9dfaad91e798a6f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.3404",
    "kind": "arxiv",
    "version": 3
  }
}