Pith Number

pith:NZD4ZPYL

pith:2009:NZD4ZPYLA6F2JWQJMAPVZB2WLV

not attested not anchored not stored refs pending

Two Optimal One-Error-Correcting Codes of Length 13 That Are Not Doubly Shortened Perfect Codes

Olli Pottonen, Patric R. J. \"Osterg{\aa}rd

arxiv:0909.2526 v2 · 2009-09-14 · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NZD4ZPYLA6F2JWQJMAPVZB2WLV}

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	2026-05-18T04:27:47.846094Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6e47ccbf0b078ba4da09601f5c87565d485ee6e3e35bb7cc41a754f4d847a6fc

Aliases

arxiv: 0909.2526 · arxiv_version: 0909.2526v2 · doi: 10.48550/arxiv.0909.2526 · pith_short_12: NZD4ZPYLA6F2 · pith_short_16: NZD4ZPYLA6F2JWQJ · pith_short_8: NZD4ZPYL

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/NZD4ZPYLA6F2JWQJMAPVZB2WLV \
  | 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: 6e47ccbf0b078ba4da09601f5c87565d485ee6e3e35bb7cc41a754f4d847a6fc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aaf2aad3a334f925c659e73bce35b06cf791a2eb977fe80d1b16acf26fad89ba",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2009-09-14T12:04:50Z",
    "title_canon_sha256": "39e1c9463e23df3079b676db023aab9eb10b803d66efb9b52d9d5b1ca51c1146"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0909.2526",
    "kind": "arxiv",
    "version": 2
  }
}