Pith Number

pith:ZZPR3R5F

pith:2012:ZZPR3R5FSYF5LMRPSAV6A7KI3M

not attested not anchored not stored refs pending

The maximum number of minimal codewords in an $[n,k]-$code

A. Alahmadi, C. Thomassen, P. Sol\'e, R. dela Cruz, R. E. L. Aldred

arxiv:1203.0728 v1 · 2012-03-04 · 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{ZZPR3R5FSYF5LMRPSAV6A7KI3M}

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	2026-05-18T04:00:50.705354Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce5f1dc7a5960bd5b22f902be07d48db0f188e8baf1abe36bc8c524d1cafd6f4

Aliases

arxiv: 1203.0728 · arxiv_version: 1203.0728v1 · doi: 10.48550/arxiv.1203.0728 · pith_short_12: ZZPR3R5FSYF5 · pith_short_16: ZZPR3R5FSYF5LMRP · pith_short_8: ZZPR3R5F

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/ZZPR3R5FSYF5LMRPSAV6A7KI3M \
  | 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: ce5f1dc7a5960bd5b22f902be07d48db0f188e8baf1abe36bc8c524d1cafd6f4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f5a273817bb6bd73e90c2293bb2ac2984d18d67a5edf0d6efd3e9a010b64b3d3",
    "cross_cats_sorted": [
      "math.CO",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2012-03-04T11:06:54Z",
    "title_canon_sha256": "54536074d50cf9cb00bbe3239f2725155a05deaef85239bf9777a3b7fe9de9d9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.0728",
    "kind": "arxiv",
    "version": 1
  }
}