Pith Number

pith:FQWWATBJ

pith:2011:FQWWATBJJDXARXJUGKYCAKXMMQ

not attested not anchored not stored refs pending

Efficient and fast estimation of the geometric median in Hilbert spaces with an averaged stochastic gradient algorithm

Herv\'e Cardot (IMB), Peggy C\'enac (IMB), Pierre-Andr\'e Zitt (IMB)

arxiv:1101.4316 v2 · 2011-01-22 · math.ST · math.PR · 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{FQWWATBJJDXARXJUGKYCAKXMMQ}

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	2026-05-18T04:21:22.366657Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2c2d604c2948ee08dd3432b0202aec641abdb6fdb30de2e2f238bc6f139eba97

Aliases

arxiv: 1101.4316 · arxiv_version: 1101.4316v2 · doi: 10.48550/arxiv.1101.4316 · pith_short_12: FQWWATBJJDXA · pith_short_16: FQWWATBJJDXARXJU · pith_short_8: FQWWATBJ

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/FQWWATBJJDXARXJUGKYCAKXMMQ \
  | 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: 2c2d604c2948ee08dd3432b0202aec641abdb6fdb30de2e2f238bc6f139eba97

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "297d93b9cfba38f6264de6754b2fa7071bca445bd5d48caeefb3e2eeb95f9aee",
    "cross_cats_sorted": [
      "math.PR",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2011-01-22T20:01:58Z",
    "title_canon_sha256": "8d78440942e6121600acc779ee0711d2ba093bd8466cc6698659d5cac7c0f24a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.4316",
    "kind": "arxiv",
    "version": 2
  }
}