Pith Number

pith:WBKYOZUP

pith:2023:WBKYOZUPUV3DYDMUZB6G2EPD7J

not attested not anchored not stored refs pending

The Extended Codes of Some Linear Codes

Cunsheng Ding, Tingfang Chen, Zhonghua Sun

arxiv:2307.08053 v2 · 2023-07-16 · 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{WBKYOZUPUV3DYDMUZB6G2EPD7J}

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	2026-07-05T07:19:20.835614Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b05587668fa5763c0d94c87c6d11e3fa6130b265d7277762270b8c74befc8200

Aliases

arxiv: 2307.08053 · arxiv_version: 2307.08053v2 · doi: 10.48550/arxiv.2307.08053 · pith_short_12: WBKYOZUPUV3D · pith_short_16: WBKYOZUPUV3DYDMU · pith_short_8: WBKYOZUP

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/WBKYOZUPUV3DYDMUZB6G2EPD7J \
  | 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: b05587668fa5763c0d94c87c6d11e3fa6130b265d7277762270b8c74befc8200

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "86fe6d8753b4214e108dc04a45ae0f75dd8ea86f4a8faebf8fb3c90e2309b7fa",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2023-07-16T14:20:12Z",
    "title_canon_sha256": "0c115487ea0e13ddb845c24dcedbb4a847a85d83e83423d99c3abe16fb531271"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2307.08053",
    "kind": "arxiv",
    "version": 2
  }
}