Pith Number

pith:Q6O5F5WW

pith:2011:Q6O5F5WWDHUD4VONACWXKYYHMF

not attested not anchored not stored refs pending

Towards Optimal Sorting of 16 Elements

Marcin Peczarski

arxiv:1108.0866 v1 · 2011-08-03 · 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{Q6O5F5WWDHUD4VONACWXKYYHMF}

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	2026-05-18T02:23:35.973418Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

879dd2f6d619e83e55cd00ad756307614b39e3a88a783aecf458b998720e365c

Aliases

arxiv: 1108.0866 · arxiv_version: 1108.0866v1 · doi: 10.48550/arxiv.1108.0866 · pith_short_12: Q6O5F5WWDHUD · pith_short_16: Q6O5F5WWDHUD4VON · pith_short_8: Q6O5F5WW

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/Q6O5F5WWDHUD4VONACWXKYYHMF \
  | 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: 879dd2f6d619e83e55cd00ad756307614b39e3a88a783aecf458b998720e365c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e3a21feb102507b61c362a13a7ef6ce55e877c695a5b898ffa9dd36c06d73ff3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2011-08-03T15:24:49Z",
    "title_canon_sha256": "9fe18089f3b631c786e67b543a5d119bfc203a25ad38f88bc8368977aecb87d3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.0866",
    "kind": "arxiv",
    "version": 1
  }
}