Pith Number

pith:3D2ETQY5

pith:2010:3D2ETQY5M5BXDOGZY5YQEAVIZ4

not attested not anchored not stored refs pending

A tight bound on the worst-case number of comparisons for Floyd's heap construction algorithm

Ioannis Paparrizos

arxiv:1012.0956 v3 · 2010-12-05 · cs.DS · cs.CC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3D2ETQY5M5BXDOGZY5YQEAVIZ4}

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	2026-05-18T02:23:15.795693Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d8f449c31d674371b8d9c7710202a8cf23f513b20a26c556bb56d864b458cfed

Aliases

arxiv: 1012.0956 · arxiv_version: 1012.0956v3 · doi: 10.48550/arxiv.1012.0956 · pith_short_12: 3D2ETQY5M5BX · pith_short_16: 3D2ETQY5M5BXDOGZ · pith_short_8: 3D2ETQY5

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/3D2ETQY5M5BXDOGZY5YQEAVIZ4 \
  | 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: d8f449c31d674371b8d9c7710202a8cf23f513b20a26c556bb56d864b458cfed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6d6554b4e6d96db51612b1869f4596584824bfb974bbf056714c7a4758246f73",
    "cross_cats_sorted": [
      "cs.CC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2010-12-05T00:01:09Z",
    "title_canon_sha256": "9d5f7b01e8ef5b430d31e0c7cf0a6a7fc0a2d2366fe11dccc683efcdadd8d2af"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.0956",
    "kind": "arxiv",
    "version": 3
  }
}