Pith Number

pith:RAINPFJN

pith:2013:RAINPFJNA4PCONDJEI2SIXRVTZ

not attested not anchored not stored refs pending

Average Case Analysis of Java 7's Dual Pivot Quicksort

Markus E. Nebel, Sebastian Wild

arxiv:1310.7409 v1 · 2013-10-28 · cs.DS · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RAINPFJNA4PCONDJEI2SIXRVTZ}

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	2026-05-18T03:08:45.408143Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8810d7952d071e2734692235245e359e4d66fd82889458394479cf5f60925bf6

Aliases

arxiv: 1310.7409 · arxiv_version: 1310.7409v1 · doi: 10.48550/arxiv.1310.7409 · pith_short_12: RAINPFJNA4PC · pith_short_16: RAINPFJNA4PCONDJ · pith_short_8: RAINPFJN

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/RAINPFJNA4PCONDJEI2SIXRVTZ \
  | 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: 8810d7952d071e2734692235245e359e4d66fd82889458394479cf5f60925bf6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7757bc8713fce20a0218bc4b2cbf95256f9af13067efda63ec1aeb43a6ba8e1b",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2013-10-28T13:28:09Z",
    "title_canon_sha256": "a7fcbbe8949920c7246357a59ecd23cead0f61170ac32f0e54de7d5b5155011a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.7409",
    "kind": "arxiv",
    "version": 1
  }
}