Pith Number

pith:OIROHXNC

pith:2014:OIROHXNCJQG4XMR3DFYMSVHXTX

not attested not anchored not stored refs pending

Twenty-Five Comparators is Optimal when Sorting Nine Inputs (and Twenty-Nine for Ten)

Lu\'is Cruz-Filipe, Michael Codish, Michael Frank, Peter Schneider-Kamp

arxiv:1405.5754 v3 · 2014-05-22 · cs.DM · 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{OIROHXNCJQG4XMR3DFYMSVHXTX}

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	2026-05-18T00:56:26.360814Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7222e3dda24c0dcbb23b1970c954f79dfe11f489f5589747b054dd081993a703

Aliases

arxiv: 1405.5754 · arxiv_version: 1405.5754v3 · doi: 10.48550/arxiv.1405.5754 · pith_short_12: OIROHXNCJQG4 · pith_short_16: OIROHXNCJQG4XMR3 · pith_short_8: OIROHXNC

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/OIROHXNCJQG4XMR3DFYMSVHXTX \
  | 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: 7222e3dda24c0dcbb23b1970c954f79dfe11f489f5589747b054dd081993a703

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5ee7b07971aa6b2d6f97dde65f6776f42b32efbeabf8e82577b9c5777e0d580a",
    "cross_cats_sorted": [
      "cs.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2014-05-22T13:42:19Z",
    "title_canon_sha256": "f22d542d083848a698b4d0eeab94d029a5a982ca8590412b09014cccc6980db7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.5754",
    "kind": "arxiv",
    "version": 3
  }
}