Pith Number

pith:B6Y2NP6Y

pith:2012:B6Y2NP6YNA52K22EHFKODYP47N

not attested not anchored not stored refs pending

Expressibility in the Lambda Calculus with Letrec

Clemens Grabmayer, Jan Rochel

arxiv:1208.2383 v5 · 2012-08-11 · cs.PL · 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{B6Y2NP6YNA52K22EHFKODYP47N}

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	2026-05-18T01:25:24.942145Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0fb1a6bfd8683ba56b443954e1e1fcfb6ea837c399d4a41c05a02b19ab12a464

Aliases

arxiv: 1208.2383 · arxiv_version: 1208.2383v5 · doi: 10.48550/arxiv.1208.2383 · pith_short_12: B6Y2NP6YNA52 · pith_short_16: B6Y2NP6YNA52K22E · pith_short_8: B6Y2NP6Y

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/B6Y2NP6YNA52K22EHFKODYP47N \
  | 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: 0fb1a6bfd8683ba56b443954e1e1fcfb6ea837c399d4a41c05a02b19ab12a464

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dc99edac7ed3aa0324379434f8e82b687b52596806b377ae3a62a32a42c449f6",
    "cross_cats_sorted": [
      "cs.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.PL",
    "submitted_at": "2012-08-11T20:07:00Z",
    "title_canon_sha256": "9492c9a33b8756901cb29450a43c00aa950df8826dda74fbad38641d0ccca97e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.2383",
    "kind": "arxiv",
    "version": 5
  }
}