Pith Number

pith:3UNFAIOS

pith:2011:3UNFAIOSL6E33DA7NQYZSJAJAB

not attested not anchored not stored refs pending

Partial match queries in random quadtrees

Henning Sulzbach, Nicolas Broutin, Ralph Neininger

arxiv:1107.2231 v1 · 2011-07-12 · math.PR · cs.DS · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3UNFAIOSL6E33DA7NQYZSJAJAB}

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	2026-05-18T04:18:25.008365Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd1a5021d25f89bd8c1f6c31992409007b7c216939bdafabe8f42e0fa08cb608

Aliases

arxiv: 1107.2231 · arxiv_version: 1107.2231v1 · doi: 10.48550/arxiv.1107.2231 · pith_short_12: 3UNFAIOSL6E3 · pith_short_16: 3UNFAIOSL6E33DA7 · pith_short_8: 3UNFAIOS

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/3UNFAIOSL6E33DA7NQYZSJAJAB \
  | 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: dd1a5021d25f89bd8c1f6c31992409007b7c216939bdafabe8f42e0fa08cb608

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f1b2b039bebf1c86eb5b437ea7bc9c73081f7f0f705656b21374289eca54cf2e",
    "cross_cats_sorted": [
      "cs.DS",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-07-12T10:08:58Z",
    "title_canon_sha256": "962052cfeca9245d68db4e1fe933a16a04fbc7283df5f2a7ea3b58adbd977251"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.2231",
    "kind": "arxiv",
    "version": 1
  }
}