Pith Number

pith:PPDUNOJF

pith:2014:PPDUNOJFZSUTGHJDQKUS6WNON5

not attested not anchored not stored refs pending

Applying Set Optimization to Weak Efficiency

Carola Schrage, Giovanni P. Crespi

arxiv:1403.2860 v5 · 2014-03-12 · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PPDUNOJFZSUTGHJDQKUS6WNON5}

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	2026-05-18T00:56:06.714091Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7bc746b925cca9331d2382a92f59ae6f45c9628f7baec4b2e4407a3ed5446035

Aliases

arxiv: 1403.2860 · arxiv_version: 1403.2860v5 · doi: 10.48550/arxiv.1403.2860 · pith_short_12: PPDUNOJFZSUT · pith_short_16: PPDUNOJFZSUTGHJD · pith_short_8: PPDUNOJF

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/PPDUNOJFZSUTGHJDQKUS6WNON5 \
  | 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: 7bc746b925cca9331d2382a92f59ae6f45c9628f7baec4b2e4407a3ed5446035

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d041e153f1a78b92f687ec601cabb0701c5c4b88264422e9a437b205d3753b51",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2014-03-12T09:24:33Z",
    "title_canon_sha256": "a41bf4f1378dc5ad989047267284b3f616bfd0c5dd7b1d4a43d65f22b2ba9d61"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.2860",
    "kind": "arxiv",
    "version": 5
  }
}