Pith Number

pith:XNGLZ7NE

pith:2009:XNGLZ7NEUFABW6LIAEDMEUIG3U

not attested not anchored not stored refs pending

The Omega Rule is $\mathbf{\Pi_{1}^{1}}$-Complete in the $\lambda\beta$-Calculus

Benedetto Intrigila, Richard Statman

arxiv:0903.1374 v2 · 2009-03-07 · cs.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{XNGLZ7NEUFABW6LIAEDMEUIG3U}

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	2026-05-17T23:51:24.199515Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bb4cbcfda4a1401b79680106c25106dd025949bf83712c1e3726b0f764969655

Aliases

arxiv: 0903.1374 · arxiv_version: 0903.1374v2 · doi: 10.48550/arxiv.0903.1374 · pith_short_12: XNGLZ7NEUFAB · pith_short_16: XNGLZ7NEUFABW6LI · pith_short_8: XNGLZ7NE

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/XNGLZ7NEUFABW6LIAEDMEUIG3U \
  | 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: bb4cbcfda4a1401b79680106c25106dd025949bf83712c1e3726b0f764969655

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6a1a74d1d874298c10a3affb326c8d68e8c54da00b61abd447bfd6c521cc9286",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2009-03-07T23:20:09Z",
    "title_canon_sha256": "9eaab2b1ddde43a5cadd0eab2d42b63a799b8bfc0be437fab5784980d7ec50ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0903.1374",
    "kind": "arxiv",
    "version": 2
  }
}