Pith Number

pith:23XI7CFC

pith:2007:23XI7CFCMLBUYGQK5FY5ZRFESN

not attested not anchored not stored refs pending

Counting non-isomorphic maximal independent sets of the n-cycle graph

Jean-Luc Marichal, Raymond Bisdorff

arxiv:math/0701647 v2 · 2007-01-23 · math.CO · cs.DM · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{23XI7CFCMLBUYGQK5FY5ZRFESN}

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	2026-05-18T04:35:46.439396Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d6ee8f88a262c34c1a0ae971dcc4a49363053eaeb80ca3c4b912bf1ae4215427

Aliases

arxiv: math/0701647 · arxiv_version: math/0701647v2 · doi: 10.48550/arxiv.math/0701647 · pith_short_12: 23XI7CFCMLBU · pith_short_16: 23XI7CFCMLBUYGQK · pith_short_8: 23XI7CFC

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/23XI7CFCMLBUYGQK5FY5ZRFESN \
  | 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: d6ee8f88a262c34c1a0ae971dcc4a49363053eaeb80ca3c4b912bf1ae4215427

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eb84ce95b834c365216bedc0944b5c318ef14652dc40df0eda800d52abf42da1",
    "cross_cats_sorted": [
      "cs.DM",
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2007-01-23T15:37:47Z",
    "title_canon_sha256": "c76eaf46130b5af8b086092496918318b1114ccc7b34eb70f6f9c968f00266f7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0701647",
    "kind": "arxiv",
    "version": 2
  }
}