Pith Number

pith:BCNOADRK

pith:2017:BCNOADRK4TXTL42STYXL2ZMP2L

not attested not anchored not stored refs pending

Iterated Ultrapowers for the Masses

Ali Enayat, Matt Kaufmann, Zachiri McKenzie

arxiv:1702.03487 v2 · 2017-02-12 · 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{BCNOADRK4TXTL42STYXL2ZMP2L}

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	2026-05-18T00:39:12.687282Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

089ae00e2ae4ef35f3529e2ebd658fd2eac3ed80107d008a70014a5d4b40e322

Aliases

arxiv: 1702.03487 · arxiv_version: 1702.03487v2 · doi: 10.48550/arxiv.1702.03487 · pith_short_12: BCNOADRK4TXT · pith_short_16: BCNOADRK4TXTL42S · pith_short_8: BCNOADRK

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/BCNOADRK4TXTL42STYXL2ZMP2L \
  | 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: 089ae00e2ae4ef35f3529e2ebd658fd2eac3ed80107d008a70014a5d4b40e322

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d48e674ff9b9f5ddc76909984761dfbfa25a104361e9a2d4a248b029df61cbea",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2017-02-12T04:27:36Z",
    "title_canon_sha256": "c63e0a6e041952d6286945a1262e69782c3f6cf94c987705e09feb39f84c9df0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.03487",
    "kind": "arxiv",
    "version": 2
  }
}