Pith Number

pith:IY7ESATE

pith:2016:IY7ESATEPC27SW6LEBGVM7DHZ4

not attested not anchored not stored refs pending

On the exponential decay of the characteristic function of the quicksort distribution

Vytas Zacharovas

arxiv:1605.04018 v1 · 2016-05-13 · 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{IY7ESATEPC27SW6LEBGVM7DHZ4}

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	2026-05-18T01:14:54.530349Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

463e49026478b5f95bcb204d567c67cf329d2d4daf0d382ca63afde5a062afbe

Aliases

arxiv: 1605.04018 · arxiv_version: 1605.04018v1 · doi: 10.48550/arxiv.1605.04018 · pith_short_12: IY7ESATEPC27 · pith_short_16: IY7ESATEPC27SW6L · pith_short_8: IY7ESATE

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/IY7ESATEPC27SW6LEBGVM7DHZ4 \
  | 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: 463e49026478b5f95bcb204d567c67cf329d2d4daf0d382ca63afde5a062afbe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "91ff017fb98c9898da95ef6bafb2d8221db0a5572c62d3a1d7c3175c8cbd2737",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-05-13T00:46:41Z",
    "title_canon_sha256": "c8864c68a069496fb7b9bb7ea5c393fa2e6a37ab583eb2c7db1933436ebf8027"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.04018",
    "kind": "arxiv",
    "version": 1
  }
}