Pith Number

pith:6LPOXUA2

pith:2012:6LPOXUA267DT4GXYUG66XZWOGH

not attested not anchored not stored refs pending

The number of bit comparisons used by Quicksort: an average-case analysis

James Allen Fill, Svante Janson

arxiv:1202.2595 v1 · 2012-02-13 · math.PR · cs.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6LPOXUA267DT4GXYUG66XZWOGH}

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	2026-05-18T04:02:26.131386Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f2deebd01af7c73e1af8a1bdebe6ce31d1619646100d7d7f3a06dcf093e40465

Aliases

arxiv: 1202.2595 · arxiv_version: 1202.2595v1 · doi: 10.48550/arxiv.1202.2595 · pith_short_12: 6LPOXUA267DT · pith_short_16: 6LPOXUA267DT4GXY · pith_short_8: 6LPOXUA2

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/6LPOXUA267DT4GXYUG66XZWOGH \
  | 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: f2deebd01af7c73e1af8a1bdebe6ce31d1619646100d7d7f3a06dcf093e40465

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e5efbc9397779749e25598b13ed3049aa140813af68f3f084eabf3b7dcfc6e46",
    "cross_cats_sorted": [
      "cs.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-02-13T01:07:21Z",
    "title_canon_sha256": "d6d4752f24aac662eed57c3e7b535c0b8722a1500bb8d4f3b55a326240ed837e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.2595",
    "kind": "arxiv",
    "version": 1
  }
}