Pith Number

pith:7GKX5WJU

pith:2009:7GKX5WJUNJFA4JSZGJSBZQ4SYM

not attested not anchored not stored refs pending

New Branching Rules: Improvements on Independent Set and Vertex Cover in Sparse Graphs

Mingyu Xiao

arxiv:0904.2712 v1 · 2009-04-17 · cs.DS · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7GKX5WJUNJFA4JSZGJSBZQ4SYM}

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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.

Cited by

1 paper in Pith

Automated Discovery of Branching Rules with Optimal Complexity for the Maximum Independent Set Problem

Receipt and verification

First computed	2026-07-04T15:41:23.960918Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f9957ed9346a4a0e265932641cc392c33c1ed3fedd1091a55b0d15ec53df5f81

Aliases

arxiv: 0904.2712 · arxiv_version: 0904.2712v1 · doi: 10.48550/arxiv.0904.2712 · pith_short_12: 7GKX5WJUNJFA · pith_short_16: 7GKX5WJUNJFA4JSZ · pith_short_8: 7GKX5WJU

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/7GKX5WJUNJFA4JSZGJSBZQ4SYM \
  | 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: f9957ed9346a4a0e265932641cc392c33c1ed3fedd1091a55b0d15ec53df5f81

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e1d1b3b2937c6250be307a5a319a13846a25cbf2e6430dc18ac1c33400e7b1c9",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2009-04-17T14:19:12Z",
    "title_canon_sha256": "f30cb1c83c86c4b92cdc5b95f3a1a30af501cfd801c08270969898cfa85a96c0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0904.2712",
    "kind": "arxiv",
    "version": 1
  }
}