Pith Number

pith:WTOQL6UZ

pith:2012:WTOQL6UZCLUJNZ2KLXJRPPAK2L

not attested not anchored not stored refs pending

Construction of quasi-cyclic self-dual codes

Heisook Lee, Jon-Lark Kim, Sunghyu Han, Yoonjin Lee

arxiv:1201.6012 v1 · 2012-01-29 · cs.IT · math.AC · math.CO · 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{WTOQL6UZCLUJNZ2KLXJRPPAK2L}

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	2026-05-18T04:03:34.002541Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b4dd05fa9912e896e74a5dd317bc0ad2e4aea97c47cef4d21fbd0e98f3aad112

Aliases

arxiv: 1201.6012 · arxiv_version: 1201.6012v1 · doi: 10.48550/arxiv.1201.6012 · pith_short_12: WTOQL6UZCLUJ · pith_short_16: WTOQL6UZCLUJNZ2K · pith_short_8: WTOQL6UZ

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/WTOQL6UZCLUJNZ2KLXJRPPAK2L \
  | 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: b4dd05fa9912e896e74a5dd317bc0ad2e4aea97c47cef4d21fbd0e98f3aad112

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1229f15625fe6682f25c43550f8758fd745ef5a8da29d462594d78f6ebad91ab",
    "cross_cats_sorted": [
      "math.AC",
      "math.CO",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2012-01-29T04:12:48Z",
    "title_canon_sha256": "dc12ba8acb9d168a18d865b958f9c255bef1f6887d60a4461550f99338a595a0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.6012",
    "kind": "arxiv",
    "version": 1
  }
}