Pith Number

pith:PVCEAJA5

pith:2017:PVCEAJA5TTZRB2CDNXELLQF4EQ

not attested not anchored not stored refs pending

An ergodic theorem for partially exchangeable random partitions

Jim Pitman, Yuri Yakubovich

arxiv:1707.00313 v1 · 2017-07-02 · 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{PVCEAJA5TTZRB2CDNXELLQF4EQ}

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	2026-05-18T00:41:03.766355Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7d4440241d9cf310e8436dc8b5c0bc240ebdc1546be16fc69b6e8bc61725a00a

Aliases

arxiv: 1707.00313 · arxiv_version: 1707.00313v1 · doi: 10.48550/arxiv.1707.00313 · pith_short_12: PVCEAJA5TTZR · pith_short_16: PVCEAJA5TTZRB2CD · pith_short_8: PVCEAJA5

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/PVCEAJA5TTZRB2CDNXELLQF4EQ \
  | 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: 7d4440241d9cf310e8436dc8b5c0bc240ebdc1546be16fc69b6e8bc61725a00a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b087df436ec41825db80d0249fc2896ccd85f4f45e5c9099a205fd3065eaaf31",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-07-02T16:19:52Z",
    "title_canon_sha256": "498bfbe3e23b600e12e2049f8f8381208aad5fb9e2e143bfc99fee9954c81bc7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.00313",
    "kind": "arxiv",
    "version": 1
  }
}