Pith Number

pith:W3YTK4IF

pith:2015:W3YTK4IFJ7UCAWSWS25OYIZWQ2

not attested not anchored not stored refs pending

Well-foundedness proof for first-order reflection

Toshiyasu Arai

arxiv:1506.05280 v4 · 2015-06-17 · 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{W3YTK4IFJ7UCAWSWS25OYIZWQ2}

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	2026-05-17T23:49:44.568435Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b6f13571054fe8205a5696baec233686b2de424d0c1463eb9b3b0a6fac59a92f

Aliases

arxiv: 1506.05280 · arxiv_version: 1506.05280v4 · doi: 10.48550/arxiv.1506.05280 · pith_short_12: W3YTK4IFJ7UC · pith_short_16: W3YTK4IFJ7UCAWSW · pith_short_8: W3YTK4IF

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/W3YTK4IFJ7UCAWSWS25OYIZWQ2 \
  | 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: b6f13571054fe8205a5696baec233686b2de424d0c1463eb9b3b0a6fac59a92f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "22da04dc7ff91a493263ba2e5b31815c0fcd081c19de2e238c35ead7b7176ec9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2015-06-17T11:21:50Z",
    "title_canon_sha256": "7bac7352bd9429ca91acfddb0a1721e80f6c93aa0c1ced83fc02bde160c6260f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.05280",
    "kind": "arxiv",
    "version": 4
  }
}