Pith Number

pith:F64EMG5N

pith:2015:F64EMG5N5BLJCCTVJSEEEFEZ4U

not attested not anchored not stored refs pending

Formalizing Size-Optimal Sorting Networks: Extracting a Certified Proof Checker

Lu\'is Cruz-Filipe, Peter Schneider-Kamp

arxiv:1502.05209 v2 · 2015-02-18 · cs.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{F64EMG5N5BLJCCTVJSEEEFEZ4U}

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	2026-05-18T00:56:26.213551Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2fb8461bade856910a754c88421499e5083b8fb9bb93ddda420e7854bd80c43a

Aliases

arxiv: 1502.05209 · arxiv_version: 1502.05209v2 · doi: 10.48550/arxiv.1502.05209 · pith_short_12: F64EMG5N5BLJ · pith_short_16: F64EMG5N5BLJCCTV · pith_short_8: F64EMG5N

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/F64EMG5N5BLJCCTVJSEEEFEZ4U \
  | 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: 2fb8461bade856910a754c88421499e5083b8fb9bb93ddda420e7854bd80c43a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aee8f987f740542760149b8f61bc37c25922c338fe1bd2cd4ba0de760ece1c7b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2015-02-18T13:02:02Z",
    "title_canon_sha256": "0cc0d60820530a68501be67f26a1dc7af881edb005a435049987a4435e7518f6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.05209",
    "kind": "arxiv",
    "version": 2
  }
}