Pith Number

pith:Z2Q4ZK5J

pith:2008:Z2Q4ZK5JD4IJUTJO5J4OVIYLEH

not attested not anchored not stored refs pending

How robust is quicksort average complexity?

Soubhik Chakraborty, Suman Kumar Sourabh

arxiv:0811.4376 v1 · 2008-11-26 · cs.DS · cs.CC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z2Q4ZK5JD4IJUTJO5J4OVIYLEH}

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	2026-05-18T00:56:51.319910Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cea1ccaba91f109a4d2eea78eaa30b21fe5e3b73dd980415a637420948c386f2

Aliases

arxiv: 0811.4376 · arxiv_version: 0811.4376v1 · doi: 10.48550/arxiv.0811.4376 · pith_short_12: Z2Q4ZK5JD4IJ · pith_short_16: Z2Q4ZK5JD4IJUTJO · pith_short_8: Z2Q4ZK5J

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/Z2Q4ZK5JD4IJUTJO5J4OVIYLEH \
  | 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: cea1ccaba91f109a4d2eea78eaa30b21fe5e3b73dd980415a637420948c386f2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "20a6118b701d02078123ccd5168f43b52373151955e3f5ba8009eb099f6fe1aa",
    "cross_cats_sorted": [
      "cs.CC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2008-11-26T17:23:22Z",
    "title_canon_sha256": "ea244b032164b150533d39921c2d8a038fe4384f578f4c8ec421c53124b4a992"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0811.4376",
    "kind": "arxiv",
    "version": 1
  }
}