Pith Number

pith:MZOZUNF3

pith:2026:MZOZUNF3S55IOULSQFBX7HERAF

not attested not anchored not stored refs pending

Nonembeddings of Combinatory Algebras

Patrick Lutz, Paul Shafer, Sebastiaan A. Terwijn

arxiv:2605.14701 v1 · 2026-05-14 · 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{MZOZUNF3S55IOULSQFBX7HERAF}

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	2026-05-17T23:38:59.328014Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

665d9a34bb977a87517281437f9c910170d390a2f217dafe8786c39f985d2e46

Aliases

arxiv: 2605.14701 · arxiv_version: 2605.14701v1 · doi: 10.48550/arxiv.2605.14701 · pith_short_12: MZOZUNF3S55I · pith_short_16: MZOZUNF3S55IOULS · pith_short_8: MZOZUNF3

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/MZOZUNF3S55IOULSQFBX7HERAF \
  | 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: 665d9a34bb977a87517281437f9c910170d390a2f217dafe8786c39f985d2e46

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "72c97384873f56f1fe6db2db86eced9c798bb0b8814b89b2ef027e7e1d5636fb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2026-05-14T11:16:02Z",
    "title_canon_sha256": "ed00e0b59ea5ecc8454aa202c05a7bdc46f65f5a78c484897c2eda142232b5c5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.14701",
    "kind": "arxiv",
    "version": 1
  }
}