Pith Number

pith:JUNFQZG7

pith:2019:JUNFQZG7UK2AR27NFZASIADV2B

not attested not anchored not stored refs pending

Distribution of variables in lambda-terms with restrictions on De Bruijn indices and De Bruijn levels

Bernhard Gittenberger, Isabella Larcher

arxiv:1903.05243 v1 · 2019-03-12 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JUNFQZG7UK2AR27NFZASIADV2B}

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	2026-05-17T23:51:24.964112Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4d1a5864dfa2b408ebed2e41240075d06f95cf47c82bbee67954f90eac6da09d

Aliases

arxiv: 1903.05243 · arxiv_version: 1903.05243v1 · doi: 10.48550/arxiv.1903.05243 · pith_short_12: JUNFQZG7UK2A · pith_short_16: JUNFQZG7UK2AR27N · pith_short_8: JUNFQZG7

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/JUNFQZG7UK2AR27NFZASIADV2B \
  | 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: 4d1a5864dfa2b408ebed2e41240075d06f95cf47c82bbee67954f90eac6da09d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3feb5196e3559ce04c5baa6c2c39141e5aca2a22fbb5624f9b70a6b706843b45",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-03-12T22:33:40Z",
    "title_canon_sha256": "91f5cb86bfb9252b8ebf94a8d1a90091888ac786f45efa586db60fa5fcb40c85"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.05243",
    "kind": "arxiv",
    "version": 1
  }
}