pith. sign in
Pith Number

pith:BXFZ3RZW

pith:2019:BXFZ3RZWQZM7BUGIQ4EBT7G54M
not attested not anchored not stored refs pending

The Riemannian barycentre as a proxy for global optimisation

Jonathan H. Manton, Salem Said

arxiv:1902.03885 v1 · 2019-02-11 · math.ST · stat.TH

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{BXFZ3RZWQZM7BUGIQ4EBT7G54M}

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 2026-05-17T23:54:17.640242Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

0dcb9dc7368659f0d0c8870819fcdde32da1a8be8cc4486c6ae0835fd2faa2f3

Aliases

arxiv: 1902.03885 · arxiv_version: 1902.03885v1 · doi: 10.48550/arxiv.1902.03885 · pith_short_12: BXFZ3RZWQZM7 · pith_short_16: BXFZ3RZWQZM7BUGI · pith_short_8: BXFZ3RZW
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/BXFZ3RZWQZM7BUGIQ4EBT7G54M \
  | 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: 0dcb9dc7368659f0d0c8870819fcdde32da1a8be8cc4486c6ae0835fd2faa2f3
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "3eec2763ece19a73c7b902538ac8bdae9f30f39e1915112e334a6b11823d66c9",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2019-02-11T14:07:36Z",
    "title_canon_sha256": "da5abae231b610c06657039b8ced04ff5fb16cf572ee0264b5890f63d22ecd9f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.03885",
    "kind": "arxiv",
    "version": 1
  }
}