Pith Number

pith:MVM2MGSB

pith:2011:MVM2MGSBA6HBQZJIAOLEJKGSIX

not attested not anchored not stored refs pending

Nordhaus-Gaddum for Treewidth

David R. Wood, Gwena\"el Joret

arxiv:1109.1602 v1 · 2011-09-07 · math.CO · 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{MVM2MGSBA6HBQZJIAOLEJKGSIX}

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	2026-05-18T03:20:57.108556Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6559a61a41078e186528039644a8d245db7249cde6ad95f93489153e7759e6c3

Aliases

arxiv: 1109.1602 · arxiv_version: 1109.1602v1 · doi: 10.48550/arxiv.1109.1602 · pith_short_12: MVM2MGSBA6HB · pith_short_16: MVM2MGSBA6HBQZJI · pith_short_8: MVM2MGSB

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/MVM2MGSBA6HBQZJIAOLEJKGSIX \
  | 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: 6559a61a41078e186528039644a8d245db7249cde6ad95f93489153e7759e6c3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "376c23c85437702c75944f16ed14f335c6776db8ccb28b8972b00147e0954f22",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-09-07T23:22:26Z",
    "title_canon_sha256": "aee7781a90896fdc8e68b6fd4b48355bc9bc342906a7e52c0ef16ad841c64313"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.1602",
    "kind": "arxiv",
    "version": 1
  }
}