Pith Number

pith:I737USD3

pith:2026:I737USD3Z3S6MJRHT7K4SYP4EB

not attested not anchored not stored refs pending

Domination in Johnson graphs J(n, 3) for odd n

Semin Oh, Seung-ah Lee

arxiv:2606.10326 v1 · 2026-06-09 · 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{I737USD3Z3S6MJRHT7K4SYP4EB}

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	2026-06-10T01:10:12.015408Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

47f7fa487bcee5e626279fd5c961fc2069957a6f135d735cfbcc84cf0a7fe8c4

Aliases

arxiv: 2606.10326 · arxiv_version: 2606.10326v1 · doi: 10.48550/arxiv.2606.10326 · pith_short_12: I737USD3Z3S6 · pith_short_16: I737USD3Z3S6MJRH · pith_short_8: I737USD3

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/I737USD3Z3S6MJRHT7K4SYP4EB \
  | 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: 47f7fa487bcee5e626279fd5c961fc2069957a6f135d735cfbcc84cf0a7fe8c4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b452ac076d677f6114d687d86542334d487039874c935fb273495b3ddc36867e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-06-09T02:23:25Z",
    "title_canon_sha256": "cb04f93095e11dd7854562e898ce28c4df4f0d697291e52927494d8d27150505"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.10326",
    "kind": "arxiv",
    "version": 1
  }
}