Pith Number

pith:ODIEGRT3

pith:2026:ODIEGRT32OCZVZQEYR6CMMQ3AI

not attested not anchored not stored refs pending

Aggregation of Statistical Evidence under Exchangeability

Antonin Schrab, Arthur Gretton, Ilmun Kim, Rajen Shah

arxiv:2607.15823 v1 · 2026-07-17 · stat.ME · cs.LG · math.ST · 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{ODIEGRT32OCZVZQEYR6CMMQ3AI}

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	2026-07-20T01:19:12.150288Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

70d043467bd3859ae604c47c26321b021434d14bc402ae56bb53cda4f23de2c7

Aliases

arxiv: 2607.15823 · arxiv_version: 2607.15823v1 · doi: 10.48550/arxiv.2607.15823 · pith_short_12: ODIEGRT32OCZ · pith_short_16: ODIEGRT32OCZVZQE · pith_short_8: ODIEGRT3

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/ODIEGRT32OCZVZQEYR6CMMQ3AI \
  | 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: 70d043467bd3859ae604c47c26321b021434d14bc402ae56bb53cda4f23de2c7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "da3fb09f65958f21d61edd2365b41becae348b42fd960064d757f547fe9d2bd0",
    "cross_cats_sorted": [
      "cs.LG",
      "math.ST",
      "stat.ML",
      "stat.TH"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2026-07-17T10:32:05Z",
    "title_canon_sha256": "2f03fa493b2d081b1939ff0ed586269342a992a7c19994545f859b9a20aa020d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.15823",
    "kind": "arxiv",
    "version": 1
  }
}