Pith Number

pith:XPQRMLEB

pith:2012:XPQRMLEBCGINZ7GUZQZWJAG2K5

not attested not anchored not stored refs pending

Recurrence relations and splitting formulas for the domination polynomial

Frank Simon, James Preen, Martin Trinks, Peter Tittmann, Tomer Kotek

arxiv:1206.5926 v2 · 2012-06-26 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XPQRMLEBCGINZ7GUZQZWJAG2K5}

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	2026-05-18T03:27:11.442616Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bbe1162c811190dcfcd4cc336480da5774a0f3eb61f0201ae4a8e2e0b99b8150

Aliases

arxiv: 1206.5926 · arxiv_version: 1206.5926v2 · doi: 10.48550/arxiv.1206.5926 · pith_short_12: XPQRMLEBCGIN · pith_short_16: XPQRMLEBCGINZ7GU · pith_short_8: XPQRMLEB

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/XPQRMLEBCGINZ7GUZQZWJAG2K5 \
  | 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: bbe1162c811190dcfcd4cc336480da5774a0f3eb61f0201ae4a8e2e0b99b8150

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "84f71f3a687988071fd1c8fe513558be6f44a84e0ac080b68352c04c86705171",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-06-26T08:58:50Z",
    "title_canon_sha256": "e7dda51325b02b529fe2d517d7d20b511fa2f95ba08b7275753990941f84bf54"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.5926",
    "kind": "arxiv",
    "version": 2
  }
}