Pith Number

pith:KNMU7B4V

pith:2019:KNMU7B4VACH74ZMCUNOWCIJWN5

not attested not anchored not stored refs pending

Curvature effects on the empirical mean in Riemannian and affine Manifolds: a non-asymptotic high concentration expansion in the small-sample regime

Xavier Pennec (ASCLEPIOS)

arxiv:1906.07418 v1 · 2019-06-18 · math.DG · 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{KNMU7B4VACH74ZMCUNOWCIJWN5}

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	2026-05-17T23:43:07.933420Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

53594f8795008ffe6582a35d6121366f4100ac13b49918e72cf94ebe2f003062

Aliases

arxiv: 1906.07418 · arxiv_version: 1906.07418v1 · doi: 10.48550/arxiv.1906.07418 · pith_short_12: KNMU7B4VACH7 · pith_short_16: KNMU7B4VACH74ZMC · pith_short_8: KNMU7B4V

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/KNMU7B4VACH74ZMCUNOWCIJWN5 \
  | 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: 53594f8795008ffe6582a35d6121366f4100ac13b49918e72cf94ebe2f003062

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b43d43766350dc36acc86925c05eb821aed78728bdf938b35fb8baed5260f2c8",
    "cross_cats_sorted": [
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2019-06-18T07:42:29Z",
    "title_canon_sha256": "5426bdae6efc079f73902a8768b95bf06520f0f7a3d874cd933436f0a1532fb2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.07418",
    "kind": "arxiv",
    "version": 1
  }
}