Pith Number

pith:IJJKH7B3

pith:2015:IJJKH7B3QFT4CXMAMYPGZ3OMLO

not attested not anchored not stored refs pending

Borel Complexity and Potential Canonical Scott Sentences

Douglas Ulrich, Michael C. Laskowski, Richard Rast

arxiv:1510.05679 v3 · 2015-10-19 · 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{IJJKH7B3QFT4CXMAMYPGZ3OMLO}

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	2026-05-18T00:58:55.462879Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4252a3fc3b8167c15d80661e6cedcc5b9768cd117d2261fad136092a8bc944f3

Aliases

arxiv: 1510.05679 · arxiv_version: 1510.05679v3 · doi: 10.48550/arxiv.1510.05679 · pith_short_12: IJJKH7B3QFT4 · pith_short_16: IJJKH7B3QFT4CXMA · pith_short_8: IJJKH7B3

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/IJJKH7B3QFT4CXMAMYPGZ3OMLO \
  | 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: 4252a3fc3b8167c15d80661e6cedcc5b9768cd117d2261fad136092a8bc944f3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eed59b971973a543576e4fafefd5b80f2307d9b256217cb6c5e5a7b721c7d7c8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2015-10-19T20:45:09Z",
    "title_canon_sha256": "3616bf3d8e37a4e7f40ec90ed447500146c7e410eb593237b82547504d48f1f6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.05679",
    "kind": "arxiv",
    "version": 3
  }
}