Pith Number

pith:O4CDA42S

pith:2012:O4CDA42SCCH2EJ2G4HPIZ6URLC

not attested not anchored not stored refs pending

Separating Models by Formulas and the Number of Countable Models

Mohammad Assem

arxiv:1211.5441 v2 · 2012-11-23 · 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{O4CDA42SCCH2EJ2G4HPIZ6URLC}

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	2026-05-18T03:39:52.569272Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7704307352108fa22746e1de8cfa9158996325c25b10314c4ca1354b395485b0

Aliases

arxiv: 1211.5441 · arxiv_version: 1211.5441v2 · doi: 10.48550/arxiv.1211.5441 · pith_short_12: O4CDA42SCCH2 · pith_short_16: O4CDA42SCCH2EJ2G · pith_short_8: O4CDA42S

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/O4CDA42SCCH2EJ2G4HPIZ6URLC \
  | 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: 7704307352108fa22746e1de8cfa9158996325c25b10314c4ca1354b395485b0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e816611b9a20a7eceee7df51c143ed8b588bcbd5dc50c68fb9b48231596950ae",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2012-11-23T09:02:11Z",
    "title_canon_sha256": "24dbdccf5110ce783a57bd057c5df3522177b95615ae1138944423cdc5dadb0e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.5441",
    "kind": "arxiv",
    "version": 2
  }
}