Pith Number

pith:ZQ5B5N7W

pith:2026:ZQ5B5N7WTSG45LAW6NF7UW2XTA

not attested not anchored not stored refs pending

End-to-end probabilistic hierarchical forecasting of large hierarchies via probabilistic top-down

Dario Azzimonti, Giorgio Corani, Lorenzo Zambon

arxiv:2606.26774 v1 · 2026-06-25 · stat.ME · stat.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZQ5B5N7WTSG45LAW6NF7UW2XTA}

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	2026-06-26T01:15:59.392295Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cc3a1eb7f69c8dceac16f34bfa5b57981c0245cb694108f6da63a979d92150bf

Aliases

arxiv: 2606.26774 · arxiv_version: 2606.26774v1 · doi: 10.48550/arxiv.2606.26774 · pith_short_12: ZQ5B5N7WTSG4 · pith_short_16: ZQ5B5N7WTSG45LAW · pith_short_8: ZQ5B5N7W

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/ZQ5B5N7WTSG45LAW6NF7UW2XTA \
  | 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: cc3a1eb7f69c8dceac16f34bfa5b57981c0245cb694108f6da63a979d92150bf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4b364e4cc180ffdff215a1b2aa4409e10e4703f8a00bef5dc892a2dbbc4a857b",
    "cross_cats_sorted": [
      "stat.AP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2026-06-25T09:02:23Z",
    "title_canon_sha256": "168c0b3864e063de6855796e7733894e4747837f1fc197e273cff8746c36dd5b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.26774",
    "kind": "arxiv",
    "version": 1
  }
}