Pith Number

pith:6SPVEIWY

pith:2011:6SPVEIWYYJWQEGN7CURATU2VCX

not attested not anchored not stored refs pending

Hamming Weights in Irreducible Cyclic Codes

Cunsheng Ding, Jing Yang

arxiv:1108.3887 v1 · 2011-08-19 · 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{6SPVEIWYYJWQEGN7CURATU2VCX}

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	2026-05-18T04:15:06.139601Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f49f5222d8c26d0219bf152209d35515cc548fa2a43af3b4d9ccb8e252bc5042

Aliases

arxiv: 1108.3887 · arxiv_version: 1108.3887v1 · doi: 10.48550/arxiv.1108.3887 · pith_short_12: 6SPVEIWYYJWQ · pith_short_16: 6SPVEIWYYJWQEGN7 · pith_short_8: 6SPVEIWY

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/6SPVEIWYYJWQEGN7CURATU2VCX \
  | 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: f49f5222d8c26d0219bf152209d35515cc548fa2a43af3b4d9ccb8e252bc5042

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "802ea7e6f594b4715de731c286c34d23aa7442445dac6a4ed1d38a74f3cd3482",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2011-08-19T03:55:37Z",
    "title_canon_sha256": "a9eda76347a78b05e6d3c4ec3229ab6af2761e272d748d7310f459be93b8e9d3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.3887",
    "kind": "arxiv",
    "version": 1
  }
}