Pith Number

pith:NUR7DPX4

pith:2022:NUR7DPX4VKEFD5COEFABUBOHTR

not attested not anchored not stored refs pending

Model-theoretic dividing lines via posets

Dar\'io Garc\'ia, Rosario Mennuni

arxiv:2209.00571 v1 · 2022-09-01 · 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{NUR7DPX4VKEFD5COEFABUBOHTR}

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.

Cited by

1 paper in Pith

On the notion of a patterning property in model theory

Receipt and verification

First computed	2026-07-05T04:53:51.552334Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6d23f1befcaa8851f44e21401a05c79c65a84e832fddde073970348397b99280

Aliases

arxiv: 2209.00571 · arxiv_version: 2209.00571v1 · doi: 10.48550/arxiv.2209.00571 · pith_short_12: NUR7DPX4VKEF · pith_short_16: NUR7DPX4VKEFD5CO · pith_short_8: NUR7DPX4

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/NUR7DPX4VKEFD5COEFABUBOHTR \
  | 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: 6d23f1befcaa8851f44e21401a05c79c65a84e832fddde073970348397b99280

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6fbe5374f2c32ad02a48b9d713926e977f6b02816f02b7adf7ba21ce1e788b15",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2022-09-01T16:32:19Z",
    "title_canon_sha256": "6655f8653d8e3df595e6fdb78437b2247ab3adb923bedcd8b4fea8c64f1f34f2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2209.00571",
    "kind": "arxiv",
    "version": 1
  }
}