Pith Number

pith:37GZRQKE

pith:2016:37GZRQKEA55XTOUKJ4PCO26RET

not attested not anchored not stored refs pending

Model theory of finite-by-Presburger Abelian groups and finite extensions of $p$-adic fields

Angus Macintyre, Jamshid Derakhshan

arxiv:1603.08601 v1 · 2016-03-29 · 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{37GZRQKEA55XTOUKJ4PCO26RET}

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	2026-05-18T01:18:05.893402Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dfcd98c144077b79ba8a4f1e276bd124cb2dec634da55e83dbdd296ad32e3042

Aliases

arxiv: 1603.08601 · arxiv_version: 1603.08601v1 · doi: 10.48550/arxiv.1603.08601 · pith_short_12: 37GZRQKEA55X · pith_short_16: 37GZRQKEA55XTOUK · pith_short_8: 37GZRQKE

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/37GZRQKEA55XTOUKJ4PCO26RET \
  | 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: dfcd98c144077b79ba8a4f1e276bd124cb2dec634da55e83dbdd296ad32e3042

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1afbbcec8468ff500acba63bd6047393c648b74c7c277171a87d5283c6a453ad",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2016-03-29T00:52:49Z",
    "title_canon_sha256": "d70d8959368f2ae4cff427a4a6438c6de26b53f298ff7fcb1a27f91495911b30"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.08601",
    "kind": "arxiv",
    "version": 1
  }
}