pith. sign in
Pith Number

pith:4VOISPJB

pith:2010:4VOISPJB32NIKZ7W5K7E6UCRDS
not attested not anchored not stored refs pending

Extreme(ly) mean(ingful): Sequential formation of a quality group

Abba M. Krieger, Ester Samuel-Cahn, Moshe Pollak

arxiv:1011.3320 v1 · 2010-11-15 · math.PR

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{4VOISPJB32NIKZ7W5K7E6UCRDS}

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 2026-05-18T04:35:56.131461Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

e55c893d21de9a8567f6eabe4f50511ca7b1211e4adeeabef101b3bf972c3a5b

Aliases

arxiv: 1011.3320 · arxiv_version: 1011.3320v1 · doi: 10.48550/arxiv.1011.3320 · pith_short_12: 4VOISPJB32NI · pith_short_16: 4VOISPJB32NIKZ7W · pith_short_8: 4VOISPJB
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/4VOISPJB32NIKZ7W5K7E6UCRDS \
  | 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: e55c893d21de9a8567f6eabe4f50511ca7b1211e4adeeabef101b3bf972c3a5b
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "efb02732650487c9878d2e239bb60f69aa7b8c32d4a7bc8d8555c17c493780c0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-11-15T09:18:43Z",
    "title_canon_sha256": "cfb7437347dc41eabfa6e593187e162779012f652558b3ab2c0e96b351199bfa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.3320",
    "kind": "arxiv",
    "version": 1
  }
}