Pith Number

pith:4NVMLC7Y

pith:2013:4NVMLC7YKNGXCK5PMM3TAYRSIQ

not attested not anchored not stored refs pending

Permutation decoding of Z2Z4-linear codes

Cristina Fern\'andez-C\'ordoba, Joaquim Borges, Jos\'e Joaqu\'in Bernal, Merc\`e Villanueva

arxiv:1303.3737 v1 · 2013-03-15 · cs.IT · 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{4NVMLC7YKNGXCK5PMM3TAYRSIQ}

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	2026-05-18T03:30:52.589531Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e36ac58bf8534d712baf63373062324411334787e881be98a16e7a7e6bae9792

Aliases

arxiv: 1303.3737 · arxiv_version: 1303.3737v1 · doi: 10.48550/arxiv.1303.3737 · pith_short_12: 4NVMLC7YKNGX · pith_short_16: 4NVMLC7YKNGXCK5P · pith_short_8: 4NVMLC7Y

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/4NVMLC7YKNGXCK5PMM3TAYRSIQ \
  | 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: e36ac58bf8534d712baf63373062324411334787e881be98a16e7a7e6bae9792

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5a110faf31f8abc4c10f6fe651d9ad10fc6d0cd7e9b48e54fd40a62cc45e426b",
    "cross_cats_sorted": [
      "math.CO",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2013-03-15T11:23:26Z",
    "title_canon_sha256": "94141dd14995e9288e2fd5aa94d79de237cdca09a9e1f71e692a45c0b72529ac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.3737",
    "kind": "arxiv",
    "version": 1
  }
}