Pith Number

pith:SHYN73VZ

pith:2000:SHYN73VZKMVO5CBQTDBZEYNAHZ

not attested not anchored not stored refs pending

Smoothness and decay properties of the limiting Quicksort density function

James Allen Fill (Johns Hopkins Univ.), Svante Janson (Uppsala Univ.)

arxiv:math/0005235 v1 · 2000-05-23 · 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{SHYN73VZKMVO5CBQTDBZEYNAHZ}

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.

Cited by

1 paper in Pith

Using Large Language Models to Study Mathematical Practice

Receipt and verification

First computed	2026-07-04T14:34:31.496887Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

91f0dfeeb9532aee883098c39261a03e55b9352793ca348afbeb92b9720f88b8

Aliases

arxiv: math/0005235 · arxiv_version: math/0005235v1 · doi: 10.48550/arxiv.math/0005235 · pith_short_12: SHYN73VZKMVO · pith_short_16: SHYN73VZKMVO5CBQ · pith_short_8: SHYN73VZ

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/SHYN73VZKMVO5CBQTDBZEYNAHZ \
  | 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: 91f0dfeeb9532aee883098c39261a03e55b9352793ca348afbeb92b9720f88b8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1fc49a1b7ecae673e5add990f29f3ac67c79d7f4ac40f423f19c038b777d3efe",
    "cross_cats_sorted": [
      "cs.DS"
    ],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "2000-05-23T19:24:59Z",
    "title_canon_sha256": "fa4ee2df4edd5fb720ea25f9124564defff2e29d3e1d7b2fb4b8061b4db6d87e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0005235",
    "kind": "arxiv",
    "version": 1
  }
}