Pith Number

pith:XTIXTNOM

pith:2013:XTIXTNOMJPAG3YQISATDQ2WNIB

not attested not anchored not stored refs pending

The MacWilliams identity for $m$-spotty weight enumerator over $\mathbb{F}_2+u\mathbb{F}_2+\cdots+u^{m-1}\mathbb{F}_2$

Minjia Shi

arxiv:1307.2228 v1 · 2013-07-06 · cs.IT · math.IT

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Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

Receipt and verification

First computed	2026-05-18T03:18:53.027297Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bcd179b5cc4bc06de2089026386acd40412fd79d8429e0a9f3f9881d0b769d08

Aliases

arxiv: 1307.2228 · arxiv_version: 1307.2228v1 · doi: 10.48550/arxiv.1307.2228

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/XTIXTNOMJPAG3YQISATDQ2WNIB \
  | 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: bcd179b5cc4bc06de2089026386acd40412fd79d8429e0a9f3f9881d0b769d08

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8a7616a0d77fd69ad9770080142f8be004e9662c5522de46970bf2b3d97e81aa",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2013-07-06T14:35:46Z",
    "title_canon_sha256": "2d65a7444547c06cbcf38d2fd60d0e13be41e135ab1acb17c873b9e6a2ba8367"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.2228",
    "kind": "arxiv",
    "version": 1
  }
}