pith. sign in
Pith Number

pith:F67HD2NH

pith:2014:F67HD2NHFSRIHFXBN5Q53N3ACB
not attested not anchored not stored refs pending

Critical Independent Sets of a Graph

Eugen Mandrescu, Vadim E. Levit

arxiv:1407.7368 v1 · 2014-07-28 · cs.DM · math.CO

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{F67HD2NHFSRIHFXBN5Q53N3ACB}

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 2026-05-18T02:46:23.289671Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

2fbe71e9a72ca28396e16f61ddb7601058461e9f93b92be1d1941663a1f9b435

Aliases

arxiv: 1407.7368 · arxiv_version: 1407.7368v1 · doi: 10.48550/arxiv.1407.7368 · pith_short_12: F67HD2NHFSRI · pith_short_16: F67HD2NHFSRIHFXB · pith_short_8: F67HD2NH
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/F67HD2NHFSRIHFXBN5Q53N3ACB \
  | 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: 2fbe71e9a72ca28396e16f61ddb7601058461e9f93b92be1d1941663a1f9b435
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "d9693ee7e7417aef8cd6cc968b34a729e5392d33ae82c47a9d245f7cce1ab613",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2014-07-28T09:36:29Z",
    "title_canon_sha256": "eebdc111dd130d5316cff18de0dd4c10d3af0a1bc64594cc0290f1d2007fd353"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.7368",
    "kind": "arxiv",
    "version": 1
  }
}