Pith Number

pith:MKWXMXPW

pith:2016:MKWXMXPWIFSOY5HFGIELE2KYH4

not attested not anchored not stored refs pending

Maximal $m$-distance sets containing the representation of the Hamming graph $H(n,m)$

Chika Yamamoto, Hiroshi Nozaki, Rina Hayashi, Saori Adachi

arxiv:1602.01215 v2 · 2016-02-03 · 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{MKWXMXPWIFSOY5HFGIELE2KYH4}

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	2026-05-18T01:04:09.251279Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

62ad765df64164ec74e53208b269583f0beb7b6c4bee447b548d6c69fc701724

Aliases

arxiv: 1602.01215 · arxiv_version: 1602.01215v2 · doi: 10.48550/arxiv.1602.01215 · pith_short_12: MKWXMXPWIFSO · pith_short_16: MKWXMXPWIFSOY5HF · pith_short_8: MKWXMXPW

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/MKWXMXPWIFSOY5HFGIELE2KYH4 \
  | 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: 62ad765df64164ec74e53208b269583f0beb7b6c4bee447b548d6c69fc701724

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aecbb9aa76d34057e5de086a671e0adff86b1c5462055631bfa0c1b297b27e60",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-02-03T07:39:56Z",
    "title_canon_sha256": "5527acefa037636c928b028da987e5e570c7fcf5a2f41d51a57dcf1d449c8d69"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.01215",
    "kind": "arxiv",
    "version": 2
  }
}