Pith Number

pith:BQNUPT4A

pith:2015:BQNUPT4A4CM56XI73LUSCNW3FK

not attested not anchored not stored refs pending

Relative t-designs in binary Hamming association scheme H(n,2)

Eiichi Bannai, Etsuko Bannai, Yan Zhu

arxiv:1512.01726 v1 · 2015-12-06 · 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{BQNUPT4A4CM56XI73LUSCNW3FK}

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	2026-05-18T01:25:10.520024Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0c1b47cf80e099df5d1fdae92136db2aa054b26ad5c70ffcb4d539eddefe8e90

Aliases

arxiv: 1512.01726 · arxiv_version: 1512.01726v1 · doi: 10.48550/arxiv.1512.01726 · pith_short_12: BQNUPT4A4CM5 · pith_short_16: BQNUPT4A4CM56XI7 · pith_short_8: BQNUPT4A

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/BQNUPT4A4CM56XI73LUSCNW3FK \
  | 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: 0c1b47cf80e099df5d1fdae92136db2aa054b26ad5c70ffcb4d539eddefe8e90

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1b425b320e6c290c10cba8a6f4cc2e280aacd533f5641f5439527027f62111ad",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-12-06T02:39:29Z",
    "title_canon_sha256": "6b4f8e82d95b1339fa47a73f0dd5c720e333263793a7479d04decba0efed8ef1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.01726",
    "kind": "arxiv",
    "version": 1
  }
}