Pith Number

pith:DBEA2RU5

pith:2016:DBEA2RU5UICWNLBWP62FPGMNND

not attested not anchored not stored refs pending

Swap-invariant and exchangeable random measures

Felix Nagel

arxiv:1602.07666 v3 · 2016-02-24 · math.PR · math.DS · math.ST · 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{DBEA2RU5UICWNLBWP62FPGMNND}

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	2026-05-18T01:11:31.490309Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

18480d469da20566ac367fb457998d68e1172f137aa8c4f86f3a55d1b2b8b051

Aliases

arxiv: 1602.07666 · arxiv_version: 1602.07666v3 · doi: 10.48550/arxiv.1602.07666 · pith_short_12: DBEA2RU5UICW · pith_short_16: DBEA2RU5UICWNLBW · pith_short_8: DBEA2RU5

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/DBEA2RU5UICWNLBWP62FPGMNND \
  | 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: 18480d469da20566ac367fb457998d68e1172f137aa8c4f86f3a55d1b2b8b051

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "09f79558ef7f4f9d6ad447bcc4e5502dc80b7c72d1bb66269de58436f2ac6a8b",
    "cross_cats_sorted": [
      "math.DS",
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-02-24T20:29:28Z",
    "title_canon_sha256": "2f978ff77b33a017d4c2bc5f669faf05ccf7056ababc687f697f4122c792edfe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.07666",
    "kind": "arxiv",
    "version": 3
  }
}