pith. sign in
Pith Number

pith:TJO6V6VV

pith:2011:TJO6V6VV5YL5XWGFH66HMT55RV
not attested not anchored not stored refs pending

Clustering and percolation of point processes

Bartlomiej Blaszczyszyn, D. Yogeshwaran

arxiv:1112.2227 v2 · 2011-12-09 · math.PR

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{TJO6V6VV5YL5XWGFH66HMT55RV}

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 2026-05-18T03:17:00.448414Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

9a5deafab5ee17dbd8c53fbc764fbd8d45be41885a37e6f02f23142522a26d45

Aliases

arxiv: 1112.2227 · arxiv_version: 1112.2227v2 · doi: 10.48550/arxiv.1112.2227 · pith_short_12: TJO6V6VV5YL5 · pith_short_16: TJO6V6VV5YL5XWGF · pith_short_8: TJO6V6VV
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/TJO6V6VV5YL5XWGFH66HMT55RV \
  | 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: 9a5deafab5ee17dbd8c53fbc764fbd8d45be41885a37e6f02f23142522a26d45
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "190d1404e19d27285c11be74920aa2a4d84a868291e44d16344a882b94f9acb2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-12-09T22:47:18Z",
    "title_canon_sha256": "6d8aea60b511589008fc890f55b3435258c38ce7b83ec350c279b69eaf75c03e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.2227",
    "kind": "arxiv",
    "version": 2
  }
}