Pith Number

pith:4KA54V2R

pith:2013:4KA54V2RYFSCAPMJFEDAMYH2LL

not attested not anchored not stored refs pending

Expressibility in the Lambda Calculus with mu

Clemens Grabmayer, Jan Rochel

arxiv:1304.6284 v3 · 2013-04-23 · cs.PL

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4KA54V2RYFSCAPMJFEDAMYH2LL}

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	2026-05-18T03:24:52.281760Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e281de5751c164203d8929060660fa5adbe88604f841b62d16e3994913e851a8

Aliases

arxiv: 1304.6284 · arxiv_version: 1304.6284v3 · doi: 10.48550/arxiv.1304.6284 · pith_short_12: 4KA54V2RYFSC · pith_short_16: 4KA54V2RYFSCAPMJ · pith_short_8: 4KA54V2R

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/4KA54V2RYFSCAPMJFEDAMYH2LL \
  | 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: e281de5751c164203d8929060660fa5adbe88604f841b62d16e3994913e851a8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a5ca905f4c87bd793be922088b1960819346e3e2bb3253aacae42cf59d43a6f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.PL",
    "submitted_at": "2013-04-23T13:26:02Z",
    "title_canon_sha256": "81b8a4c1020b84ab0944f549d5b6450d4bdb3ebd9157e29cf1c3ae57554f7ac4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.6284",
    "kind": "arxiv",
    "version": 3
  }
}