Pith Number

pith:ZZBDM7SL

pith:2026:ZZBDM7SL4WHBDEUWLGQM4UVQ6L

not attested not anchored not stored refs pending

Four constructions of self-dual binary cyclic codes with a lower bound on the minimum distances better than the square-root bound

Cunsheng Ding, Dabin Zheng, Hao Chen, Xiaoqiang Wang, Xun Song

arxiv:2606.02262 v1 · 2026-06-01 · 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{ZZBDM7SL4WHBDEUWLGQM4UVQ6L}

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	2026-06-02T03:04:54.449235Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce42367e4be58e11929659a0ce52b0f2dab0ffc97fedbf14fe248b5127055c1e

Aliases

arxiv: 2606.02262 · arxiv_version: 2606.02262v1 · doi: 10.48550/arxiv.2606.02262 · pith_short_12: ZZBDM7SL4WHB · pith_short_16: ZZBDM7SL4WHBDEUW · pith_short_8: ZZBDM7SL

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/ZZBDM7SL4WHBDEUWLGQM4UVQ6L \
  | 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: ce42367e4be58e11929659a0ce52b0f2dab0ffc97fedbf14fe248b5127055c1e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c6f70a326edc6c9e246541db9e5b5cb7cb306a6e204fbd769d9dfd8419eda03e",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2026-06-01T13:49:43Z",
    "title_canon_sha256": "b2b099d626f1c0ccf34228f08a3e5b849f0d1c79d33c7b582bf0a542a38b93dc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.02262",
    "kind": "arxiv",
    "version": 1
  }
}