Pith Number

pith:U67XDP2M

pith:2011:U67XDP2M5FIDF5KVLI6MKPY77T

not attested not anchored not stored refs pending

On protected nodes in Digital Search Trees

Helmut Prodinger, Rosena R. X. Du

arxiv:1111.1471 v1 · 2011-11-07 · math.CO · 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{U67XDP2M5FIDF5KVLI6MKPY77T}

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	2026-05-18T04:09:26.062908Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a7bf71bf4ce95032f5555a3cc53f1ffccff6651a4fd0b2ca972d3780c24ff4ff

Aliases

arxiv: 1111.1471 · arxiv_version: 1111.1471v1 · doi: 10.48550/arxiv.1111.1471 · pith_short_12: U67XDP2M5FID · pith_short_16: U67XDP2M5FIDF5KV · pith_short_8: U67XDP2M

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/U67XDP2M5FIDF5KVLI6MKPY77T \
  | 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: a7bf71bf4ce95032f5555a3cc53f1ffccff6651a4fd0b2ca972d3780c24ff4ff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2112350ec24057b9c3dfa0cf6895eb60dc6dc340c66df1ae74e4620031d4f6da",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-11-07T02:10:48Z",
    "title_canon_sha256": "dd13d7c7aa44be8bda5dc42cf9a8a4358b8dd62d629f51b7fc5453f83df2d3e4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.1471",
    "kind": "arxiv",
    "version": 1
  }
}