Pith Number

pith:F52U4HB2

pith:2012:F52U4HB2DVRE4WGHBPWJC7N7IF

not attested not anchored not stored refs pending

Complete Axiomatizations of Fragments of Monadic Second-Order Logic on Finite Trees

Am\'elie Gheerbrant (School of Informatics, Balder ten Cate (Santa Cruz Department of Computer Science, University of California), University of Edinburgh)

arxiv:1210.2620 v3 · 2012-10-09 · cs.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{F52U4HB2DVRE4WGHBPWJC7N7IF}

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	2026-05-18T01:37:38.429215Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f754e1c3a1d624e58c70bec917dbf414f8d0c60b3cd779d7f7f1e52ad702045

Aliases

arxiv: 1210.2620 · arxiv_version: 1210.2620v3 · doi: 10.48550/arxiv.1210.2620 · pith_short_12: F52U4HB2DVRE · pith_short_16: F52U4HB2DVRE4WGH · pith_short_8: F52U4HB2

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/F52U4HB2DVRE4WGHBPWJC7N7IF \
  | 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: 2f754e1c3a1d624e58c70bec917dbf414f8d0c60b3cd779d7f7f1e52ad702045

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d184b065522711f5a6df61d8afbee557fd3a37d897b9984a7b6e98d10e308b25",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2012-10-09T14:51:25Z",
    "title_canon_sha256": "979e1c8fbed24f1402173a7b6de3660c359eb86ae3679c3c62528d7e1ad12708"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.2620",
    "kind": "arxiv",
    "version": 3
  }
}