Pith Number

pith:QH5L3TCH

pith:2024:QH5L3TCHMNPQT6TED2Y6FFN5HE

not attested not anchored not stored refs pending

A Riemannian covariance for manifold-valued data

Davide Pigoli, Meshal Abuqrais

arxiv:2410.06164 v1 · 2024-10-08 · math.ST · 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{QH5L3TCHMNPQT6TED2Y6FFN5HE}

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	2026-07-05T09:17:56.873678Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

81fabdcc47635f09fa641eb1e295bd391b8baad50672e001803772afd9763749

Aliases

arxiv: 2410.06164 · arxiv_version: 2410.06164v1 · doi: 10.48550/arxiv.2410.06164 · pith_short_12: QH5L3TCHMNPQ · pith_short_16: QH5L3TCHMNPQT6TE · pith_short_8: QH5L3TCH

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/QH5L3TCHMNPQT6TED2Y6FFN5HE \
  | 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: 81fabdcc47635f09fa641eb1e295bd391b8baad50672e001803772afd9763749

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "51a784119604e5e3716bab83f5783cd65bec1433c346e0ac0bafb09b5be456cd",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2024-10-08T16:08:38Z",
    "title_canon_sha256": "040d94d3b5bf32352ca155f286273ff1027d02b2db1c9dfaf6819946106d1d8b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2410.06164",
    "kind": "arxiv",
    "version": 1
  }
}