Pith Number

pith:5KB32FMF

pith:2015:5KB32FMFBMMFXSENKUBB4G4UZ6

not attested not anchored not stored refs pending

Priors on exchangeable directed graphs

Cameron Freer, Diana Cai, Nathanael Ackerman

arxiv:1510.08440 v2 · 2015-10-28 · math.ST · stat.ME · stat.ML · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5KB32FMFBMMFXSENKUBB4G4UZ6}

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	2026-05-18T00:54:52.970449Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea83bd15850b185bc88d55021e1b94cf95dbaa9330cba026dace050798d453dd

Aliases

arxiv: 1510.08440 · arxiv_version: 1510.08440v2 · doi: 10.48550/arxiv.1510.08440 · pith_short_12: 5KB32FMFBMMF · pith_short_16: 5KB32FMFBMMFXSEN · pith_short_8: 5KB32FMF

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/5KB32FMFBMMFXSENKUBB4G4UZ6 \
  | 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: ea83bd15850b185bc88d55021e1b94cf95dbaa9330cba026dace050798d453dd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "abdff77efc7dd5b567c43de51b8354418c5fa495de72f2596bef0134f40e3907",
    "cross_cats_sorted": [
      "stat.ME",
      "stat.ML",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2015-10-28T19:59:13Z",
    "title_canon_sha256": "5c6cfaef6b49702ea8dc03704b4de6cdef77655f37f32c8042c3a16f3bb436d9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.08440",
    "kind": "arxiv",
    "version": 2
  }
}