Pith Number

pith:Z4WAMKNU

pith:2013:Z4WAMKNUDTPAUY3N64PDNGD4VN

not attested not anchored not stored refs pending

New extremal binary self-dual codes of length 68 from quadratic residue codes over f_2+uf_2+u^2f_2

Abidin Kaya, Bahattin Yildiz, Irfan Siap

arxiv:1308.0580 v2 · 2013-08-02 · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z4WAMKNUDTPAUY3N64PDNGD4VN}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T01:20:03.952753Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf2c0629b41cde0a636df71e36987cab4748b2f9b6dedec77b4ad154fa043f6e

Aliases

arxiv: 1308.0580 · arxiv_version: 1308.0580v2 · doi: 10.48550/arxiv.1308.0580 · pith_short_12: Z4WAMKNUDTPA · pith_short_16: Z4WAMKNUDTPAUY3N · pith_short_8: Z4WAMKNU

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/Z4WAMKNUDTPAUY3N64PDNGD4VN \
  | 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: cf2c0629b41cde0a636df71e36987cab4748b2f9b6dedec77b4ad154fa043f6e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4ec5a478212da2ebebfac2e7fadac88bb9b995663af9298a93c829e10c89b7ee",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2013-08-02T18:56:23Z",
    "title_canon_sha256": "86b64b6b2cb57de1048596715631813f2d9aa677e40c3454c9dae84cd20990f6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.0580",
    "kind": "arxiv",
    "version": 2
  }
}