Pith Number

pith:5C7QL7XB

pith:2013:5C7QL7XBD3HU3AYLLPIEF5C5A7

not attested not anchored not stored refs pending

Some supplements to Feferman-Vaught related to the model theory of adeles

Angus Macintyre, Jamshid Derakhshan

arxiv:1306.1794 v1 · 2013-06-07 · 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{5C7QL7XBD3HU3AYLLPIEF5C5A7}

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	2026-05-18T03:21:32.350511Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e8bf05fee11ecf4d830b5bd042f45d07c8089cc14a0c1f8025b4139c26817090

Aliases

arxiv: 1306.1794 · arxiv_version: 1306.1794v1 · doi: 10.48550/arxiv.1306.1794 · pith_short_12: 5C7QL7XBD3HU · pith_short_16: 5C7QL7XBD3HU3AYL · pith_short_8: 5C7QL7XB

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/5C7QL7XBD3HU3AYLLPIEF5C5A7 \
  | 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: e8bf05fee11ecf4d830b5bd042f45d07c8089cc14a0c1f8025b4139c26817090

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c1b9759986f54daa486891456e633f9a9dbfc6d7e0f00210ac3a136fcfd7f414",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2013-06-07T17:51:52Z",
    "title_canon_sha256": "600b58720eab9c6cbfa65f678eed52274d9fc2c77f46cf908d3e08bdc23fd440"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.1794",
    "kind": "arxiv",
    "version": 1
  }
}