Pith Number

pith:7NFCD5VN

pith:2012:7NFCD5VN7ZMUNN5ZFQL445CH6Q

not attested not anchored not stored refs pending

New Inequalities for q-ary Constant-Weight Codes

Hyun Kwang Kim, Phan Thanh Toan

arxiv:1212.6453 v1 · 2012-12-28 · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7NFCD5VN7ZMUNN5ZFQL445CH6Q}

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	2026-05-18T03:37:39.695127Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fb4a21f6adfe5946b7b92c17ce7447f43ad07a0dcb9b647f4409f3e9dd69d18f

Aliases

arxiv: 1212.6453 · arxiv_version: 1212.6453v1 · doi: 10.48550/arxiv.1212.6453 · pith_short_12: 7NFCD5VN7ZMU · pith_short_16: 7NFCD5VN7ZMUNN5Z · pith_short_8: 7NFCD5VN

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/7NFCD5VN7ZMUNN5ZFQL445CH6Q \
  | 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: fb4a21f6adfe5946b7b92c17ce7447f43ad07a0dcb9b647f4409f3e9dd69d18f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7e3c2e0be199a8df59a5d9a7e17fb2b3388385768dc59f3e73b217e4ee9c597e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-12-28T02:05:57Z",
    "title_canon_sha256": "70be618d4aa47338ec79934a18e774816bb66411f8bce2b85b26a6b714292c54"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.6453",
    "kind": "arxiv",
    "version": 1
  }
}