Pith Number

pith:A7FCKF7B

pith:2015:A7FCKF7BLWG32U5HGPSLNMM4F2

not attested not anchored not stored refs pending

Beyond Abstract Elementary Classes: On The Model Theory of Geometric Lattices

Gianluca Paolini, Tapani Hyttinen

arxiv:1512.01457 v7 · 2015-12-04 · math.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{A7FCKF7BLWG32U5HGPSLNMM4F2}

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	2026-05-18T00:33:27.888540Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

07ca2517e15d8dbd53a733e4b6b19c2e86eb929e8e820c38f34fb5fa3217b214

Aliases

arxiv: 1512.01457 · arxiv_version: 1512.01457v7 · doi: 10.48550/arxiv.1512.01457 · pith_short_12: A7FCKF7BLWG3 · pith_short_16: A7FCKF7BLWG32U5H · pith_short_8: A7FCKF7B

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/A7FCKF7BLWG32U5HGPSLNMM4F2 \
  | 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: 07ca2517e15d8dbd53a733e4b6b19c2e86eb929e8e820c38f34fb5fa3217b214

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e1201e2531820efa1e3ca59d0b90dfe2856e7fd6d69d4449eaa871efa42c128d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2015-12-04T15:44:11Z",
    "title_canon_sha256": "7765e16f1a0fc54864d3fd6b935072ccf9ef726545e0004e539733d9831709d4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.01457",
    "kind": "arxiv",
    "version": 7
  }
}