Pith Number

pith:7Y3CB77W

pith:2021:7Y3CB77W7S37WFLDVQRNNFQSFY

not attested not anchored not stored refs pending

Infinite families of linear codes supporting more $t$-designs

Junling Zhou, Qianqian Yan

arxiv:2106.10903 v2 · 2021-06-21 · cs.IT · math.CO · 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{7Y3CB77W7S37WFLDVQRNNFQSFY}

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	2026-07-05T02:54:18.703686Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe3620fff6fcb7fb1563ac22d696122e3625cbabd4eee56b5062671f9284d5ab

Aliases

arxiv: 2106.10903 · arxiv_version: 2106.10903v2 · doi: 10.48550/arxiv.2106.10903 · pith_short_12: 7Y3CB77W7S37 · pith_short_16: 7Y3CB77W7S37WFLD · pith_short_8: 7Y3CB77W

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/7Y3CB77W7S37WFLDVQRNNFQSFY \
  | 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: fe3620fff6fcb7fb1563ac22d696122e3625cbabd4eee56b5062671f9284d5ab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "df5cef8da0e58118eaac78e660bb2c0370d29f66be3d54e634a12e130caa31af",
    "cross_cats_sorted": [
      "math.CO",
      "math.IT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2021-06-21T08:04:15Z",
    "title_canon_sha256": "a5813c22bbd60a96b5787064209636405402d6519e1f5ff9820c227df8d6a9df"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2106.10903",
    "kind": "arxiv",
    "version": 2
  }
}