Pith Number

pith:XRK27UQL

pith:2012:XRK27UQLCBRO3XMHZLJHSTQTPG

not attested not anchored not stored refs pending

Support and density of the limit $m$-ary search trees distribution

Brigitte Chauvin, Nicolas Pouyanne, Quansheng Liu

arxiv:1201.4098 v1 · 2012-01-19 · 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{XRK27UQLCBRO3XMHZLJHSTQTPG}

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	2026-05-18T04:04:15.963680Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bc55afd20b1062eddd87cad2794e1379a5b7e7c20f2d68ac0ea86af8c574a5de

Aliases

arxiv: 1201.4098 · arxiv_version: 1201.4098v1 · doi: 10.48550/arxiv.1201.4098 · pith_short_12: XRK27UQLCBRO · pith_short_16: XRK27UQLCBRO3XMH · pith_short_8: XRK27UQL

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/XRK27UQLCBRO3XMHZLJHSTQTPG \
  | 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: bc55afd20b1062eddd87cad2794e1379a5b7e7c20f2d68ac0ea86af8c574a5de

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2c3ca00d10348dd842225185a9764ae4e3e6b25a01546e01cc3819ade705c05f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-01-19T16:31:22Z",
    "title_canon_sha256": "5e69ce9365c0b10e1d0432b828a7551ca3e2b4859f4cadc5ed7bc6d67b3b5351"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.4098",
    "kind": "arxiv",
    "version": 1
  }
}