pith. sign in
Pith Number

pith:QGLLRLQL

pith:2013:QGLLRLQLGACEHPVOGKB6WYQHRE
not attested not anchored not stored refs pending

Fair Sets of Some Class of Graphs

Kannan Balakrishnan, Prasanth G. Narasimha-Shenoi, R. Ram Kumar

arxiv:1304.5378 v2 · 2013-04-19 · cs.DM · math.CO

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{QGLLRLQLGACEHPVOGKB6WYQHRE}

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 2026-05-18T03:27:13.226524Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

8196b8ae0b300443beae3283eb620789078998bfdb7d3b562a522837e1a041bc

Aliases

arxiv: 1304.5378 · arxiv_version: 1304.5378v2 · doi: 10.48550/arxiv.1304.5378 · pith_short_12: QGLLRLQLGACE · pith_short_16: QGLLRLQLGACEHPVO · pith_short_8: QGLLRLQL
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/QGLLRLQLGACEHPVOGKB6WYQHRE \
  | 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: 8196b8ae0b300443beae3283eb620789078998bfdb7d3b562a522837e1a041bc
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "80679728fcc82ed914b102ec6958d7b1a97c1b58c19185a65592892441c55591",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2013-04-19T11:32:42Z",
    "title_canon_sha256": "4c5c63537237a43423175d623f097d23427afc3d1d9623347975150c1e9b229a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.5378",
    "kind": "arxiv",
    "version": 2
  }
}