pith. sign in
Pith Number

pith:77BCCJOR

pith:2012:77BCCJORBU6UU37CG4Y5EM5P3R
not attested not anchored not stored refs pending

Directed Acyclic Subgraph Problem Parameterized above the Poljak-Turzik Bound

Gregory Gutin, Mark Jones, Robert Crowston

arxiv:1207.3586 v2 · 2012-07-16 · cs.DS · cs.CC

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{77BCCJORBU6UU37CG4Y5EM5P3R}

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 2026-05-18T03:44:33.410701Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

ffc22125d10d3d4a6fe23731d233afdc41540cac51b2fce43bf1df896269c17a

Aliases

arxiv: 1207.3586 · arxiv_version: 1207.3586v2 · doi: 10.48550/arxiv.1207.3586 · pith_short_12: 77BCCJORBU6U · pith_short_16: 77BCCJORBU6UU37C · pith_short_8: 77BCCJOR
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/77BCCJORBU6UU37CG4Y5EM5P3R \
  | 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: ffc22125d10d3d4a6fe23731d233afdc41540cac51b2fce43bf1df896269c17a
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "83b67e2e29ab5967070b621b155dc194771c5beb38c8be073b16103fcfa96358",
    "cross_cats_sorted": [
      "cs.CC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2012-07-16T06:36:56Z",
    "title_canon_sha256": "3625b703f989f014434903118bcb31c0baeb377afac87b1e91f32917fc1f0d0b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.3586",
    "kind": "arxiv",
    "version": 2
  }
}