pith. sign in
Pith Number

pith:5WJSOYHV

pith:2014:5WJSOYHV2RYBDSG3XEZ72PIBZB
not attested not anchored not stored refs pending

$(1,j)$-set problem in graphs

Arijit Bishnu, Arijit Ghosh, Kunal Dutta, Subhabrata Paul

arxiv:1410.3091 v1 · 2014-10-12 · cs.DM · math.CO

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{5WJSOYHV2RYBDSG3XEZ72PIBZB}

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 2026-05-18T02:40:17.071343Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

ed932760f5d47011c8dbb933fd3d01c86abaea62beeb2136a02b8aae77f565bb

Aliases

arxiv: 1410.3091 · arxiv_version: 1410.3091v1 · doi: 10.48550/arxiv.1410.3091 · pith_short_12: 5WJSOYHV2RYB · pith_short_16: 5WJSOYHV2RYBDSG3 · pith_short_8: 5WJSOYHV
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/5WJSOYHV2RYBDSG3XEZ72PIBZB \
  | 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: ed932760f5d47011c8dbb933fd3d01c86abaea62beeb2136a02b8aae77f565bb
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "8b8719a85544430a134018a4efbd70dd4b24ab6300bebb405815b4a59ee6c403",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2014-10-12T14:07:08Z",
    "title_canon_sha256": "d892c817ee43dfc220ceaf388cad89e8b1e3e2636383fbd61987fc5fff27bf8b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.3091",
    "kind": "arxiv",
    "version": 1
  }
}