Pith Number

pith:GSR5Y4RP

pith:2012:GSR5Y4RPXOYDFWRPZSTJMWGWXH

not attested not anchored not stored refs pending

Minimax properties of Fr\'echet means of discretely sampled curves

J\'er\'emie Bigot (DMIA), Xavier Gendre (IMT)

arxiv:1210.0771 v3 · 2012-10-02 · 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{GSR5Y4RPXOYDFWRPZSTJMWGWXH}

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	2026-05-18T03:21:12.236454Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

34a3dc722fbbb032da2fcca69658d6b9c7525b8bd23200850ce573e24d54078f

Aliases

arxiv: 1210.0771 · arxiv_version: 1210.0771v3 · doi: 10.48550/arxiv.1210.0771 · pith_short_12: GSR5Y4RPXOYD · pith_short_16: GSR5Y4RPXOYDFWRP · pith_short_8: GSR5Y4RP

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/GSR5Y4RPXOYDFWRPZSTJMWGWXH \
  | 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: 34a3dc722fbbb032da2fcca69658d6b9c7525b8bd23200850ce573e24d54078f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d661d1f18477cbdbb4f23e4610375c31783cf58608cbd012570244893151c7f3",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2012-10-02T13:35:19Z",
    "title_canon_sha256": "3f6396b7939d4d916d2374b2f88f8973cc3768b2d96aa5d5c8aac645c6aba0be"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.0771",
    "kind": "arxiv",
    "version": 3
  }
}