Pith Number

pith:JWG7I3OW

pith:2026:JWG7I3OWXHMYXF7M2DKHYCYQ4U

not attested not anchored not stored refs pending

Classification of independent sets in signed Johnson graphs and applications to kissing arrangements

Rustem Takhanov, Stanislav Yun

arxiv:2606.03299 v1 · 2026-06-02 · cs.IT · math.CO · math.IT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JWG7I3OWXHMYXF7M2DKHYCYQ4U}

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	2026-06-03T01:05:54.372272Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4d8df46dd6b9d98b97ecd0d47c0b10e537df4e24aa620b67cf153b91ac50988c

Aliases

arxiv: 2606.03299 · arxiv_version: 2606.03299v1 · doi: 10.48550/arxiv.2606.03299 · pith_short_12: JWG7I3OWXHMY · pith_short_16: JWG7I3OWXHMYXF7M · pith_short_8: JWG7I3OW

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/JWG7I3OWXHMYXF7M2DKHYCYQ4U \
  | 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: 4d8df46dd6b9d98b97ecd0d47c0b10e537df4e24aa620b67cf153b91ac50988c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3ba0f3151427ee8323dd410d83da03fa65bcb890b5065938de8054ba13378900",
    "cross_cats_sorted": [
      "math.CO",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2026-06-02T08:12:54Z",
    "title_canon_sha256": "fd9036de842d4609c270d40e26cb0b9953a1a167def3d3864e3d1a5374cc563f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.03299",
    "kind": "arxiv",
    "version": 1
  }
}