Pith Number

pith:KYWFVCD3

pith:2012:KYWFVCD3YRTJMEO74NLJJPNNLD

not attested not anchored not stored refs pending

Where First-Order and Monadic Second-Order Logic Coincide

Martin Grohe, Michael Elberfeld, Till Tantau

arxiv:1204.6291 v1 · 2012-04-27 · cs.LO · cs.CC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KYWFVCD3YRTJMEO74NLJJPNNLD}

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	2026-05-18T02:21:15.895594Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

562c5a887bc4669611dfe35694bdad58dccddd75dffe797e84aa91b24a6495ea

Aliases

arxiv: 1204.6291 · arxiv_version: 1204.6291v1 · doi: 10.48550/arxiv.1204.6291 · pith_short_12: KYWFVCD3YRTJ · pith_short_16: KYWFVCD3YRTJMEO7 · pith_short_8: KYWFVCD3

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/KYWFVCD3YRTJMEO74NLJJPNNLD \
  | 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: 562c5a887bc4669611dfe35694bdad58dccddd75dffe797e84aa91b24a6495ea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3615c3a71d8b248abab4bfce7f000f59c62065cb07bbc2b383f21328823731df",
    "cross_cats_sorted": [
      "cs.CC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2012-04-27T18:52:15Z",
    "title_canon_sha256": "d341c416115def662a46ac3bc40c4f27023b9e5789ca2f12d1e30874aaebf9b9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.6291",
    "kind": "arxiv",
    "version": 1
  }
}