Pith Number

pith:Q24P5U6S

pith:2013:Q24P5U6STNFQBQ3IVO2MANMTNI

not attested not anchored not stored refs pending

On optimal constacyclic codes

Giuliano G. La Guardia

arxiv:1311.2505 v2 · 2013-11-11 · cs.IT · math-ph · math.IT · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Q24P5U6STNFQBQ3IVO2MANMTNI}

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	2026-05-18T01:20:59.537708Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

86b8fed3d29b4b00c368abb4c035936a0a0fe733954bdac93f931dc7e419b489

Aliases

arxiv: 1311.2505 · arxiv_version: 1311.2505v2 · doi: 10.48550/arxiv.1311.2505 · pith_short_12: Q24P5U6STNFQ · pith_short_16: Q24P5U6STNFQBQ3I · pith_short_8: Q24P5U6S

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/Q24P5U6STNFQBQ3IVO2MANMTNI \
  | 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: 86b8fed3d29b4b00c368abb4c035936a0a0fe733954bdac93f931dc7e419b489

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "91d75b6f60a9d539b5b3856e776fbc2031ea4e3a04f42386ac7805997987bddf",
    "cross_cats_sorted": [
      "math-ph",
      "math.IT",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2013-11-11T17:14:54Z",
    "title_canon_sha256": "c6771ef89d5be9daed66a1dd3475233546c31cb77dca4482bd60eaaf2614d07c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.2505",
    "kind": "arxiv",
    "version": 2
  }
}