Pith Number

pith:SQ3ON2CS

pith:2013:SQ3ON2CSWFSEVVRNSMWNT6K5BJ

not attested not anchored not stored refs pending

MacWilliams type identities for some new $m$-spotty weight enumerators over finite commutative Frobenius rings

Minjia Shi

arxiv:1307.1786 v1 · 2013-07-06 · cs.IT · math.IT

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

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	2026-05-18T03:19:03.518039Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9436e6e852b1644ad62d932cd9f95d0a50a32e0a65ad5ff962f242a69e9b6a99

Aliases

arxiv: 1307.1786 · arxiv_version: 1307.1786v1 · doi: 10.48550/arxiv.1307.1786 · pith_short_12: SQ3ON2CSWFSE · pith_short_16: SQ3ON2CSWFSEVVRN · pith_short_8: SQ3ON2CS

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/SQ3ON2CSWFSEVVRNSMWNT6K5BJ \
  | 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: 9436e6e852b1644ad62d932cd9f95d0a50a32e0a65ad5ff962f242a69e9b6a99

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5699e616d01ae8341aae1e824c41e7f3c9eea60b46bfb761dfcc6a235e6829fd",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2013-07-06T14:06:11Z",
    "title_canon_sha256": "71e350d5c180b9c7b32c56651884b6ff1b27af467c6cae4efb34da9330f86cec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.1786",
    "kind": "arxiv",
    "version": 1
  }
}