Pith Number

pith:2CIHYT56

pith:2017:2CIHYT56V3LJDVR3FH6ILI5V5H

not attested not anchored not stored refs pending

Random replacements in P\'olya urns with infinitely many colours

Svante Janson

arxiv:1711.09830 v1 · 2017-11-27 · 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{2CIHYT56V3LJDVR3FH6ILI5V5H}

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	2026-05-18T00:29:34.354252Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d0907c4fbeaed691d63b29fc85a3b5e9ef83e927924792a0880d033fc9dee77c

Aliases

arxiv: 1711.09830 · arxiv_version: 1711.09830v1 · doi: 10.48550/arxiv.1711.09830 · pith_short_12: 2CIHYT56V3LJ · pith_short_16: 2CIHYT56V3LJDVR3 · pith_short_8: 2CIHYT56

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/2CIHYT56V3LJDVR3FH6ILI5V5H \
  | 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: d0907c4fbeaed691d63b29fc85a3b5e9ef83e927924792a0880d033fc9dee77c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8382be5c5c3ba9b0bd1c961338436eec0279bb8cc03eebde3fadb134dc819bba",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-11-27T17:03:53Z",
    "title_canon_sha256": "20a1d8cc5dd3d83c235ddeca0566bffda8300f96695fd56aca39b103e8e8acfb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.09830",
    "kind": "arxiv",
    "version": 1
  }
}