Pith Number

pith:UZ5MTBY6

pith:2012:UZ5MTBY64UJIINRAO6A5RDQBR2

not attested not anchored not stored refs pending

Maximal $m$-distance sets containing the representation of the Johnson graph $J(n, m)$

Eiichi Bannai, Junichi Shigezumi, Takahiro Sato

arxiv:1202.1352 v2 · 2012-02-07 · 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{UZ5MTBY64UJIINRAO6A5RDQBR2}

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	2026-05-18T03:46:31.318779Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a67ac9871ee5128436207781d88e018e9c2d42cce4fc7320b2f13c1ab4e297e0

Aliases

arxiv: 1202.1352 · arxiv_version: 1202.1352v2 · doi: 10.48550/arxiv.1202.1352 · pith_short_12: UZ5MTBY64UJI · pith_short_16: UZ5MTBY64UJIINRA · pith_short_8: UZ5MTBY6

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/UZ5MTBY64UJIINRAO6A5RDQBR2 \
  | 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: a67ac9871ee5128436207781d88e018e9c2d42cce4fc7320b2f13c1ab4e297e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f953106ed6da578f3488bec28d6ef83a9950019896a3445bea1020ec31744dcb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-02-07T05:31:19Z",
    "title_canon_sha256": "c64c9042dd0061f126a6b793cafeb5db82814fbfa316853ab36ad88c5b210d83"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.1352",
    "kind": "arxiv",
    "version": 2
  }
}