Pith Number

pith:VQH5DIIO

pith:2012:VQH5DIIOLYC4Z5H7J3PKMFI4Y6

not attested not anchored not stored refs pending

Group theory, group actions, evolutionary algorithms, and global optimization

Andrew Clark

arxiv:1301.0254 v3 · 2012-12-27 · cs.NE · math.DS · math.OC · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VQH5DIIOLYC4Z5H7J3PKMFI4Y6}

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	2026-05-18T03:26:33.654137Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac0fd1a10e5e05ccf4ff4edea6151cc79f64115d20fadcae2c1abc47904676c5

Aliases

arxiv: 1301.0254 · arxiv_version: 1301.0254v3 · doi: 10.48550/arxiv.1301.0254 · pith_short_12: VQH5DIIOLYC4 · pith_short_16: VQH5DIIOLYC4Z5H7 · pith_short_8: VQH5DIIO

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/VQH5DIIOLYC4Z5H7J3PKMFI4Y6 \
  | 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: ac0fd1a10e5e05ccf4ff4edea6151cc79f64115d20fadcae2c1abc47904676c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "695135b2d08cc17ed6df7c68bb1d307257182e61f3bbcc92678db1888497fce6",
    "cross_cats_sorted": [
      "math.DS",
      "math.OC",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.NE",
    "submitted_at": "2012-12-27T23:04:01Z",
    "title_canon_sha256": "68616270efc1f18d352fb106b807c6d88db8e845039afcfba775e84e9b7aa603"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.0254",
    "kind": "arxiv",
    "version": 3
  }
}