Pith Number

pith:OHVUAOUI

pith:2011:OHVUAOUI2GAUEXDJSK2QJMR6JP

not attested not anchored not stored refs pending

Limit theorems for empirical Fr\'echet means of independent and non-identically distributed manifold-valued random variables

Huiling Le, Wilfrid S. Kendall

arxiv:1102.0228 v2 · 2011-02-01 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OHVUAOUI2GAUEXDJSK2QJMR6JP}

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	2026-05-18T04:19:13.213805Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

71eb403a88d181425c6992b504b23e4bc9e4bca4f13787fab7962f22ccd6ea44

Aliases

arxiv: 1102.0228 · arxiv_version: 1102.0228v2 · doi: 10.48550/arxiv.1102.0228 · pith_short_12: OHVUAOUI2GAU · pith_short_16: OHVUAOUI2GAUEXDJ · pith_short_8: OHVUAOUI

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/OHVUAOUI2GAUEXDJSK2QJMR6JP \
  | 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: 71eb403a88d181425c6992b504b23e4bc9e4bca4f13787fab7962f22ccd6ea44

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6ccbe1fa4a514bdcd61555527c4df5a2f885f8d0628d1ac29b784d47cc43df09",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-02-01T17:30:37Z",
    "title_canon_sha256": "f3a9b356e4e24af4f5ca07cbbdcc2f87c7d473249d514a061cbf224f3380bc08"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.0228",
    "kind": "arxiv",
    "version": 2
  }
}