Pith Number

pith:QYZTJYRO

pith:2016:QYZTJYROWSPWEBNWJZX4RTFAER

not attested not anchored not stored refs pending

Gibbs partitions: the convergent case

Benedikt Stufler

arxiv:1609.08859 v1 · 2016-09-28 · math.CO · 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{QYZTJYROWSPWEBNWJZX4RTFAER}

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	2026-05-18T00:54:59.905709Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

863334e22eb49f6205b64e6fc8cca0245110b40f719b881a12328d32d2b5cc90

Aliases

arxiv: 1609.08859 · arxiv_version: 1609.08859v1 · doi: 10.48550/arxiv.1609.08859 · pith_short_12: QYZTJYROWSPW · pith_short_16: QYZTJYROWSPWEBNW · pith_short_8: QYZTJYRO

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/QYZTJYROWSPWEBNWJZX4RTFAER \
  | 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: 863334e22eb49f6205b64e6fc8cca0245110b40f719b881a12328d32d2b5cc90

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7487a9e869f98ec7f252982c91d37e120e5f5d60cc184015ccbee2e2b12d2402",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-09-28T11:10:33Z",
    "title_canon_sha256": "fee936f015da87ec29716aab1b0924ecb95bc61220836e081f48f22c23ad1d9f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.08859",
    "kind": "arxiv",
    "version": 1
  }
}