Pith Number

pith:PUTO736D

pith:2010:PUTO736D6SKSDOKSLDRPEQRL25

not attested not anchored not stored refs pending

The competition numbers of ternary Hamming graphs

Boram Park, Yoshio Sano

arxiv:1006.2628 v2 · 2010-06-14 · 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{PUTO736D6SKSDOKSLDRPEQRL25}

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	2026-05-18T04:22:02.379878Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7d26efefc3f49521b95258e2f2422bd76916250257a95f57e30109c641fcfec0

Aliases

arxiv: 1006.2628 · arxiv_version: 1006.2628v2 · doi: 10.48550/arxiv.1006.2628 · pith_short_12: PUTO736D6SKS · pith_short_16: PUTO736D6SKSDOKS · pith_short_8: PUTO736D

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/PUTO736D6SKSDOKSLDRPEQRL25 \
  | 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: 7d26efefc3f49521b95258e2f2422bd76916250257a95f57e30109c641fcfec0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c2119ca924896d7eed3ba038ad61e175820f7e97d102e856694173f99897b7d9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-06-14T08:14:00Z",
    "title_canon_sha256": "deb252c214857e10831f045b27f9cd8ea1d7489ddff8b25226af98aad7d06557"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.2628",
    "kind": "arxiv",
    "version": 2
  }
}