Pith Number

pith:5ATMJELV

pith:2016:5ATMJELVHONOE5CQO7GGMFV65T

not attested not anchored not stored refs pending

Decidability and classification of the theory of integers with primes

Itay Kaplan, Saharon Shelah

arxiv:1601.07099 v2 · 2016-01-26 · 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{5ATMJELVHONOE5CQO7GGMFV65T}

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	2026-05-18T01:20:50.027836Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e826c491753b9ae2745077cc6616beecfa3240c9f11d4b1f82b8e36af250bb41

Aliases

arxiv: 1601.07099 · arxiv_version: 1601.07099v2 · doi: 10.48550/arxiv.1601.07099 · pith_short_12: 5ATMJELVHONO · pith_short_16: 5ATMJELVHONOE5CQ · pith_short_8: 5ATMJELV

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/5ATMJELVHONOE5CQO7GGMFV65T \
  | 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: e826c491753b9ae2745077cc6616beecfa3240c9f11d4b1f82b8e36af250bb41

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8fc20ddb9526f5a284c43ff8f4916bdf5c6180425751d0a0219b00ce84c1ee5d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2016-01-26T17:12:54Z",
    "title_canon_sha256": "c6c5c9fd445cc7fec485403f04f966198ae269919f735de45fce346a7e890fc5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.07099",
    "kind": "arxiv",
    "version": 2
  }
}