Pith Number

pith:Y2RPHMS7

pith:2011:Y2RPHMS7MHOEVXG4LQ4SQ77CX6

not attested not anchored not stored refs pending

Lower Bounds on the Complexity of MSO1 Model-Checking

Alexander Langer, Jan Obdr\v{z}\'alek, Peter Rossmanith, Petr Hlin\v{e}n\'y, Robert Ganian, Somnath Sikdar

arxiv:1109.5804 v2 · 2011-09-27 · cs.LO · cs.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Y2RPHMS7MHOEVXG4LQ4SQ77CX6}

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	2026-05-18T03:52:53.294985Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c6a2f3b25f61dc4adcdc5c39287fe2bfbe79d364b24e0182325457c6f70096a2

Aliases

arxiv: 1109.5804 · arxiv_version: 1109.5804v2 · doi: 10.48550/arxiv.1109.5804 · pith_short_12: Y2RPHMS7MHOE · pith_short_16: Y2RPHMS7MHOEVXG4 · pith_short_8: Y2RPHMS7

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/Y2RPHMS7MHOEVXG4LQ4SQ77CX6 \
  | 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: c6a2f3b25f61dc4adcdc5c39287fe2bfbe79d364b24e0182325457c6f70096a2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d2c79b836a27a743c1368df388d1aa49da63ddb69f74aac430d8ec49ee5793b0",
    "cross_cats_sorted": [
      "cs.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2011-09-27T08:45:10Z",
    "title_canon_sha256": "4ca807d22865626949014ad0cc591d70fec77db29de79a1b73370b3818647472"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.5804",
    "kind": "arxiv",
    "version": 2
  }
}