Pith Number

pith:J6B6NXTG

pith:2010:J6B6NXTGCWUEWDW5NOMMLK32F2

not attested not anchored not stored refs pending

Induced Subgraphs of Johnson Graphs

Jeffrey Shaw, Ramin Naimi

arxiv:1008.0595 v2 · 2010-08-03 · 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{J6B6NXTGCWUEWDW5NOMMLK32F2}

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	2026-05-18T03:55:12.444434Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f83e6de6615a84b0edd6b98c5ab7a2e9ea068d5808cfb29cbd63e00dbd966ea

Aliases

arxiv: 1008.0595 · arxiv_version: 1008.0595v2 · doi: 10.48550/arxiv.1008.0595 · pith_short_12: J6B6NXTGCWUE · pith_short_16: J6B6NXTGCWUEWDW5 · pith_short_8: J6B6NXTG

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/J6B6NXTGCWUEWDW5NOMMLK32F2 \
  | 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: 4f83e6de6615a84b0edd6b98c5ab7a2e9ea068d5808cfb29cbd63e00dbd966ea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2dafa8164bbaad03a56864399c07d09fee0b952db7bef628a6ece9b7c7b40b52",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-08-03T17:19:49Z",
    "title_canon_sha256": "4db8719b34160d27eb7fd66f3bce20f47f86c1cf60399be9a229e9974a7fc4bb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.0595",
    "kind": "arxiv",
    "version": 2
  }
}