Pith Number

pith:HRZSLEVE

pith:2025:HRZSLEVEQX77AXV222HS2SGHHS

not attested not anchored not stored refs pending

Weak convergence of predictive distributions

Fabrizio Leisen, Luca Pratelli, Pietro Rigo

arxiv:2507.19169 v1 · 2025-07-25 · math.PR · math.ST · stat.ME · 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{HRZSLEVEQX77AXV222HS2SGHHS}

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	2026-07-05T11:43:20.653407Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3c732592a485fff05ebad68f2d48c73cb8c309b7c8b680b6ff24a732af926d63

Aliases

arxiv: 2507.19169 · arxiv_version: 2507.19169v1 · doi: 10.48550/arxiv.2507.19169 · pith_short_12: HRZSLEVEQX77 · pith_short_16: HRZSLEVEQX77AXV2 · pith_short_8: HRZSLEVE

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/HRZSLEVEQX77AXV222HS2SGHHS \
  | 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: 3c732592a485fff05ebad68f2d48c73cb8c309b7c8b680b6ff24a732af926d63

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "57233b1a3666d418b3a4392970732b4b84bcc148b9c148d003a193f8e0c2e99c",
    "cross_cats_sorted": [
      "math.ST",
      "stat.ME",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2025-07-25T11:15:19Z",
    "title_canon_sha256": "f1a685ff5a09c99efafb4acda960c08fa60b2b0f44828157fe209f89e574d564"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.19169",
    "kind": "arxiv",
    "version": 1
  }
}