Pith Number

pith:OD4CQL2G

pith:2015:OD4CQL2GXKZBK6QAYW4BKGKSFJ

not attested not anchored not stored refs pending

On the tails of the limiting Quicksort distribution

Svante Janson

arxiv:1508.07230 v2 · 2015-08-28 · 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{OD4CQL2GXKZBK6QAYW4BKGKSFJ}

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	2026-05-18T01:32:00.131437Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

70f8282f46bab2157a00c5b81519522a43c88f7b39026ba9d58de99d4f0e3d77

Aliases

arxiv: 1508.07230 · arxiv_version: 1508.07230v2 · doi: 10.48550/arxiv.1508.07230 · pith_short_12: OD4CQL2GXKZB · pith_short_16: OD4CQL2GXKZBK6QA · pith_short_8: OD4CQL2G

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/OD4CQL2GXKZBK6QAYW4BKGKSFJ \
  | 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: 70f8282f46bab2157a00c5b81519522a43c88f7b39026ba9d58de99d4f0e3d77

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d8690cd48b25a5036f0413064d61f3d10d40d454ab2f5c04b35aeaa94ac90e47",
    "cross_cats_sorted": [
      "cs.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-08-28T14:31:09Z",
    "title_canon_sha256": "701a7255c521e92439dc248db38e3c29a6fb80b26a799f1388cecf86b0abd5f7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.07230",
    "kind": "arxiv",
    "version": 2
  }
}