Pith Number

pith:Q67BCTG3

pith:2016:Q67BCTG3LED2DWUJEPNMMBQDUM

not attested not anchored not stored refs pending

Cyclic codes over $\mathbb{Z}_4[u]/\langle u^k\rangle$ of odd length

Cao Yuan, Li Qingguo

arxiv:1606.04601 v2 · 2016-06-15 · 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{Q67BCTG3LED2DWUJEPNMMBQDUM}

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	2026-05-18T01:12:22.334937Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

87be114cdb5907a1da8923dac60603a31a10c5cae27f47664bf98805b6b56d48

Aliases

arxiv: 1606.04601 · arxiv_version: 1606.04601v2 · doi: 10.48550/arxiv.1606.04601 · pith_short_12: Q67BCTG3LED2 · pith_short_16: Q67BCTG3LED2DWUJ · pith_short_8: Q67BCTG3

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/Q67BCTG3LED2DWUJEPNMMBQDUM \
  | 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: 87be114cdb5907a1da8923dac60603a31a10c5cae27f47664bf98805b6b56d48

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "acb7e7163f427016747aeba6bb4548009b898924d0e88a96472f7d0a8c237816",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2016-06-15T00:58:19Z",
    "title_canon_sha256": "277f955155ed0df847f9162f32e5a57c2ba00f327bf4ed26e336d6937ecdd10d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.04601",
    "kind": "arxiv",
    "version": 2
  }
}