Pith Number

pith:2EZSLQFT

pith:2013:2EZSLQFTPURADKJ6YDSQB5W345

not attested not anchored not stored refs pending

A stochastic algorithm finding $p$-means on the circle

Laurent Miclo, Marc Arnaudon

arxiv:1301.7156 v2 · 2013-01-30 · 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{2EZSLQFTPURADKJ6YDSQB5W345}

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	2026-05-18T01:12:00.611174Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d13325c0b37d2201a93ec0e500f6dbe76d222188eb09c8b65f21427ea9c3f776

Aliases

arxiv: 1301.7156 · arxiv_version: 1301.7156v2 · doi: 10.48550/arxiv.1301.7156 · pith_short_12: 2EZSLQFTPURA · pith_short_16: 2EZSLQFTPURADKJ6 · pith_short_8: 2EZSLQFT

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/2EZSLQFTPURADKJ6YDSQB5W345 \
  | 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: d13325c0b37d2201a93ec0e500f6dbe76d222188eb09c8b65f21427ea9c3f776

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8c9ad9ee70184c0dc7cb50ab2733a869ab8d965abe484b35fdb42ca61a50ceb2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-01-30T07:59:57Z",
    "title_canon_sha256": "a36ff8a0fda04de5301a4b16ee51bedae3da811b3b0d3cd5a780ddd849f1da9c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.7156",
    "kind": "arxiv",
    "version": 2
  }
}