Pith Number

pith:MO24V7BT

pith:2012:MO24V7BT4ZFU3V3YPMNGURYDDY

not attested not anchored not stored refs pending

Model theory of fields with free operators in characteristic zero

Rahim Moosa, Thomas Scanlon

arxiv:1212.5838 v2 · 2012-12-23 · math.LO · math.AG · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MO24V7BT4ZFU3V3YPMNGURYDDY}

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	2026-05-18T03:14:50.106982Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

63b5cafc33e64b4dd7787b1a6a47031e068cc7431a4366c83323fcba418f906d

Aliases

arxiv: 1212.5838 · arxiv_version: 1212.5838v2 · doi: 10.48550/arxiv.1212.5838 · pith_short_12: MO24V7BT4ZFU · pith_short_16: MO24V7BT4ZFU3V3Y · pith_short_8: MO24V7BT

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/MO24V7BT4ZFU3V3YPMNGURYDDY \
  | 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: 63b5cafc33e64b4dd7787b1a6a47031e068cc7431a4366c83323fcba418f906d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d064c85ab41aa45fd1b14518735f45b3039344505a00f56978914ba9da88d7f6",
    "cross_cats_sorted": [
      "math.AG",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2012-12-23T22:16:25Z",
    "title_canon_sha256": "1f05ab6f3914213bc9499490bc7d3ce883792e2a5f47a95a367bc5794ce40ff2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.5838",
    "kind": "arxiv",
    "version": 2
  }
}