Pith Number

pith:D2PMKTLL

pith:2016:D2PMKTLLDE4KDKKF4TWW4VNKHH

not attested not anchored not stored refs pending

Revisiting calculation of moments of number of comparisons used by the randomized quick sort algorithm

Sumit Kumar Jha

arxiv:1609.01870 v6 · 2016-09-07 · 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{D2PMKTLLDE4KDKKF4TWW4VNKHH}

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	2026-05-18T00:46:31.756869Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1e9ec54d6b1938a1a945e4ed6e55aa39fae6bb335f123f84a36df3e5a6cbca58

Aliases

arxiv: 1609.01870 · arxiv_version: 1609.01870v6 · doi: 10.48550/arxiv.1609.01870 · pith_short_12: D2PMKTLLDE4K · pith_short_16: D2PMKTLLDE4KDKKF · pith_short_8: D2PMKTLL

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/D2PMKTLLDE4KDKKF4TWW4VNKHH \
  | 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: 1e9ec54d6b1938a1a945e4ed6e55aa39fae6bb335f123f84a36df3e5a6cbca58

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "08d6b9201d9030eb95db2485ac3f99a5be300fcd26f10ae51c053172ae40c737",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2016-09-07T08:16:36Z",
    "title_canon_sha256": "33270989bf75d895d457bf5b900c6a786b17b2efe27ab5c579eb0921a0b80d52"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.01870",
    "kind": "arxiv",
    "version": 6
  }
}