Pith Number

pith:Y54NFWYK

pith:2012:Y54NFWYKCTA4BOBY27ZWONEHBZ

not attested not anchored not stored refs pending

A generalized Polya's urn with graph based interactions

Itai Benjamini, Jun Chen, Michel Benaim, Yuri Lima

arxiv:1211.1247 v4 · 2012-11-06 · math.PR · math.DS

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Y54NFWYKCTA4BOBY27ZWONEHBZ}

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	2026-07-05T00:55:53.046967Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c778d2db0a14c1c0b838d7f36734870e60577965b5633b0b512716e14e08c71c

Aliases

arxiv: 1211.1247 · arxiv_version: 1211.1247v4 · doi: 10.48550/arxiv.1211.1247 · pith_short_12: Y54NFWYKCTA4 · pith_short_16: Y54NFWYKCTA4BOBY · pith_short_8: Y54NFWYK

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/Y54NFWYKCTA4BOBY27ZWONEHBZ \
  | 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: c778d2db0a14c1c0b838d7f36734870e60577965b5633b0b512716e14e08c71c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fc70d61bc43f6b599ebf78eb400b721bc8e387d9d7a636cfb60fd075e1a98be3",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-11-06T14:57:12Z",
    "title_canon_sha256": "7a0c2c4348edc7665c0655d40a10575b2e8df67c54cbe3318138df849d7825e6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.1247",
    "kind": "arxiv",
    "version": 4
  }
}