Pith Number

pith:JDIPY3E6

pith:2011:JDIPY3E6NAXR4IEPV7CJRMOTCJ

not attested not anchored not stored refs pending

A note on $\aleph_{\alpha}$-saturated o-minimal expansions of real closed fields

Paola D'Aquino, Salma Kuhlmann

arxiv:1112.4078 v3 · 2011-12-17 · 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{JDIPY3E6NAXR4IEPV7CJRMOTCJ}

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	2026-05-18T01:18:53.087206Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

48d0fc6c9e682f1e208fafc498b1d312688fa1bc9278b04c144240e9a9fad6db

Aliases

arxiv: 1112.4078 · arxiv_version: 1112.4078v3 · doi: 10.48550/arxiv.1112.4078 · pith_short_12: JDIPY3E6NAXR · pith_short_16: JDIPY3E6NAXR4IEP · pith_short_8: JDIPY3E6

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/JDIPY3E6NAXR4IEPV7CJRMOTCJ \
  | 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: 48d0fc6c9e682f1e208fafc498b1d312688fa1bc9278b04c144240e9a9fad6db

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "989ecdbd754880036890a8514864488c744a9979606e45d936a3c39d4b7bf558",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2011-12-17T19:10:17Z",
    "title_canon_sha256": "6b5590c1e658b2dfa9587a35b94fba5526f88884852d3069c854c14b09a3eb25"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.4078",
    "kind": "arxiv",
    "version": 3
  }
}