Pith Number

pith:3ZFSK5S3

pith:2016:3ZFSK5S3AWVME256RMXUAFRER4

not attested not anchored not stored refs pending

Finite Commutative Rings with a MacWilliams Type Relation for the m-Spotty Hamming Weight Enumerators

Ashkan Nikseresht

arxiv:1605.02870 v3 · 2016-05-10 · math.AC · cs.IT · 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{3ZFSK5S3AWVME256RMXUAFRER4}

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	2026-05-18T00:53:50.951715Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de4b25765b05aac26bbe8b2f4016248f29ad56c7abcff148dbeb6f2a3e38c415

Aliases

arxiv: 1605.02870 · arxiv_version: 1605.02870v3 · doi: 10.48550/arxiv.1605.02870 · pith_short_12: 3ZFSK5S3AWVM · pith_short_16: 3ZFSK5S3AWVME256 · pith_short_8: 3ZFSK5S3

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/3ZFSK5S3AWVME256RMXUAFRER4 \
  | 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: de4b25765b05aac26bbe8b2f4016248f29ad56c7abcff148dbeb6f2a3e38c415

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c6e4df09eef74e9069e5087fb7f85852ea791cc98d5ca1b02957ce08a136a43f",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2016-05-10T07:02:24Z",
    "title_canon_sha256": "9dda9547f107c890bd5115813bc009c701cb5e14c4236d2964519a8383386db5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.02870",
    "kind": "arxiv",
    "version": 3
  }
}