Pith Number

pith:CF75HF26

pith:2026:CF75HF26FVTEALJJAC65MEWWNF

not attested not anchored not stored refs pending

Multivariate reconciliation for hierarchical time series

Ana Caroline Pinheiro, Paulo Canas Rodrigues, Rob J. Hyndman, Rodrigo de Souza Bulh\~oes

arxiv:2605.17920 v1 · 2026-05-18 · 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{CF75HF26FVTEALJJAC65MEWWNF}

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	2026-05-20T00:05:06.029755Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

117fd3975e2d66402d2900bdd612d66976079fe23e2a82cba7a6730b1ee6d7da

Aliases

arxiv: 2605.17920 · arxiv_version: 2605.17920v1 · doi: 10.48550/arxiv.2605.17920 · pith_short_12: CF75HF26FVTE · pith_short_16: CF75HF26FVTEALJJ · pith_short_8: CF75HF26

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/CF75HF26FVTEALJJAC65MEWWNF \
  | 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: 117fd3975e2d66402d2900bdd612d66976079fe23e2a82cba7a6730b1ee6d7da

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e153019a14127deed6bfa10265a424b5859b04ce9f60063d7bf0ffc37b33af2d",
    "cross_cats_sorted": [
      "stat.AP"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2026-05-18T06:29:24Z",
    "title_canon_sha256": "1c8a20f20a3b2e0d45b5462a121fcd95fa7f0ab515b0d26b2511d3b50e621b86"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.17920",
    "kind": "arxiv",
    "version": 1
  }
}