Pith Number

pith:3VIM6SWI

pith:2026:3VIM6SWIICBMJ6IUCS46RQAIFS

not attested not anchored not stored refs pending

Autoregressive Processes on Riemannian Manifolds

Davide Pigoli, Meshal Abuqrais

arxiv:2606.24771 v1 · 2026-06-23 · math.ST · math.PR · 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{3VIM6SWIICBMJ6IUCS46RQAIFS}

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	2026-06-24T01:15:41.781925Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd50cf4ac84082c4f91414b9e8c0082caf5fb64715dc0dcbe027965b18e75a28

Aliases

arxiv: 2606.24771 · arxiv_version: 2606.24771v1 · doi: 10.48550/arxiv.2606.24771 · pith_short_12: 3VIM6SWIICBM · pith_short_16: 3VIM6SWIICBMJ6IU · pith_short_8: 3VIM6SWI

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/3VIM6SWIICBMJ6IUCS46RQAIFS \
  | 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: dd50cf4ac84082c4f91414b9e8c0082caf5fb64715dc0dcbe027965b18e75a28

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2486b77be17e20b11ebd7100780041d3763454f5780bae8d29e4ec0acca12793",
    "cross_cats_sorted": [
      "math.PR",
      "stat.TH"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2026-06-23T16:31:03Z",
    "title_canon_sha256": "d10c59090259d93b60d49a758d395c96b52525d3857b17a91b52f53efa407708"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.24771",
    "kind": "arxiv",
    "version": 1
  }
}