Pith Number

pith:3VCB5RHN

pith:2023:3VCB5RHNUKMAQ2WEFYMETAWU35

not attested not anchored not stored refs pending

Lucky Cars and the Quicksort Algorithm

Jan Kretschmann, J. Carlos Mart\'inez Mori, Pamela E. Harris

arxiv:2306.13065 v1 · 2023-06-22 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3VCB5RHNUKMAQ2WEFYMETAWU35}

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	2026-07-05T06:23:51.770985Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd441ec4eda298086ac42e184982d4df7f47dd15f1db09eb323d42e4180c7bb6

Aliases

arxiv: 2306.13065 · arxiv_version: 2306.13065v1 · doi: 10.48550/arxiv.2306.13065 · pith_short_12: 3VCB5RHNUKMA · pith_short_16: 3VCB5RHNUKMAQ2WE · pith_short_8: 3VCB5RHN

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/3VCB5RHNUKMAQ2WEFYMETAWU35 \
  | 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: dd441ec4eda298086ac42e184982d4df7f47dd15f1db09eb323d42e4180c7bb6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f88a4760ed506875bcc1482675d90ae9741146930510927b9639e2e7724cd10f",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2023-06-22T17:40:00Z",
    "title_canon_sha256": "be1a6a3c3cfb42ea621b0f4a0993765144cd96e4cf74cd176cb7f5e681188e0a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2306.13065",
    "kind": "arxiv",
    "version": 1
  }
}