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Pith Number

pith:TWFQ7YG4

pith:2012:TWFQ7YG4IMFJESTXTRZZJPL2TZ
not attested not anchored not stored refs pending

Quaternary Constant-Composition Codes with Weight Four and Distances Five or Six

Gennian Ge, Mingzhi Zhu

arxiv:1202.6447 v4 · 2012-02-29 · cs.IT · math.CO · math.IT

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{TWFQ7YG4IMFJESTXTRZZJPL2TZ}

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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
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 2026-05-18T02:25:11.117718Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

9d8b0fe0dc430a924a779c7394bd7a9e4f5e566931e67ce0a14e7f0514d913ca

Aliases

arxiv: 1202.6447 · arxiv_version: 1202.6447v4 · doi: 10.48550/arxiv.1202.6447 · pith_short_12: TWFQ7YG4IMFJ · pith_short_16: TWFQ7YG4IMFJESTX · pith_short_8: TWFQ7YG4
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/TWFQ7YG4IMFJESTXTRZZJPL2TZ \
  | 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: 9d8b0fe0dc430a924a779c7394bd7a9e4f5e566931e67ce0a14e7f0514d913ca
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "6134d7626bc5bf973254685a241277ab92ec5503d2b6a4ab786c7821c1e216d9",
    "cross_cats_sorted": [
      "math.CO",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2012-02-29T05:32:09Z",
    "title_canon_sha256": "1328b08675526a1f448b18e3223d687ddf1a91f08229396c59124ca16d7c90de"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.6447",
    "kind": "arxiv",
    "version": 4
  }
}