Pith Number

pith:34MHGEJ2

pith:2015:34MHGEJ246TSGPHP4DDKV7YY3H

not attested not anchored not stored refs pending

Deciding definability in FO2(<h,<v) on trees

Luc Segoufin (INRIA & ENS Cachan), Thomas Place (University de Bordeaux)

arxiv:1505.04934 v2 · 2015-05-19 · 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{34MHGEJ246TSGPHP4DDKV7YY3H}

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	2026-05-18T00:53:10.719517Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

df1873113ae7a7233cefe0c6aaff18d9cbd12ccdfd8d65c21d155ace1d106455

Aliases

arxiv: 1505.04934 · arxiv_version: 1505.04934v2 · doi: 10.48550/arxiv.1505.04934 · pith_short_12: 34MHGEJ246TS · pith_short_16: 34MHGEJ246TSGPHP · pith_short_8: 34MHGEJ2

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/34MHGEJ246TSGPHP4DDKV7YY3H \
  | 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: df1873113ae7a7233cefe0c6aaff18d9cbd12ccdfd8d65c21d155ace1d106455

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "830437215d394c16759047d4d90ff21d40810b458ff69f09299c3f2521abafd4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2015-05-19T09:56:51Z",
    "title_canon_sha256": "140b33ce79662d097e2120327c4fe2f46dfaa828c35debfe0d110752daf0f932"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.04934",
    "kind": "arxiv",
    "version": 2
  }
}