Pith Number

pith:S4736ZDG

pith:2009:S4736ZDGLINGFFLP6DD5DGMYKP

not attested not anchored not stored refs pending

Restricted exchangeable partitions and embedding of associated hierarchies in continuum random trees

Bo Chen, Matthias Winkel

arxiv:0911.5647 v2 · 2009-11-30 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{S4736ZDGLINGFFLP6DD5DGMYKP}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T03:41:12.925458Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

973fbf64665a1a62956ff0c7d1999853dcc30ea810483d44be06f5e25461f0b7

Aliases

arxiv: 0911.5647 · arxiv_version: 0911.5647v2 · doi: 10.48550/arxiv.0911.5647 · pith_short_12: S4736ZDGLING · pith_short_16: S4736ZDGLINGFFLP · pith_short_8: S4736ZDG

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/S4736ZDGLINGFFLP6DD5DGMYKP \
  | 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: 973fbf64665a1a62956ff0c7d1999853dcc30ea810483d44be06f5e25461f0b7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0726749fc59592daba25849b13e28a0ba9d75ecc9a914b62faf11bc350525933",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2009-11-30T14:22:24Z",
    "title_canon_sha256": "7ef5ccbf8bd9833faaf829827667703e033bf0d0b6677c965364d9b67e3d3335"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.5647",
    "kind": "arxiv",
    "version": 2
  }
}