Pith Number

pith:XDP6YMLU

pith:2010:XDP6YMLU6IU6SBXO5F2IMH2BF3

not attested not anchored not stored refs pending

Lower Bounds for the Complexity of Monadic Second-Order Logic

Siamak Tazari, Stephan Kreutzer

arxiv:1001.5019 v2 · 2010-01-27 · cs.LO · cs.CC · cs.DM · 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{XDP6YMLU6IU6SBXO5F2IMH2BF3}

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	2026-05-18T02:24:39.397881Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b8dfec3174f229e906eee974861f412ede41f2961f2170d8f0d3d35a4789a3ac

Aliases

arxiv: 1001.5019 · arxiv_version: 1001.5019v2 · doi: 10.48550/arxiv.1001.5019 · pith_short_12: XDP6YMLU6IU6 · pith_short_16: XDP6YMLU6IU6SBXO · pith_short_8: XDP6YMLU

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/XDP6YMLU6IU6SBXO5F2IMH2BF3 \
  | 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: b8dfec3174f229e906eee974861f412ede41f2961f2170d8f0d3d35a4789a3ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "974e4b2e4cae1d8ff01ea6f3391463b0f75ad6c1d892db9d1facf55b86b3cab4",
    "cross_cats_sorted": [
      "cs.CC",
      "cs.DM",
      "cs.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2010-01-27T20:51:47Z",
    "title_canon_sha256": "8c34cdb70e54d71ab76abcdc870d99c46c30592e4787c2fe343d5ae1ef6b0487"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.5019",
    "kind": "arxiv",
    "version": 2
  }
}