Pith Number

pith:JINX3MUQ

pith:2015:JINX3MUQJXGRSNRDAMXSIXH4Z4

not attested not anchored not stored refs pending

On the number of lambda terms with prescribed size of their De Bruijn representation

Bernhard Gittenberger, Zbigniew Go{\l}\k{e}biewski

arxiv:1509.06139 v1 · 2015-09-21 · math.CO · cs.DM · cs.LO · 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{JINX3MUQJXGRSNRDAMXSIXH4Z4}

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	2026-05-18T01:32:20.542794Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4a1b7db2904dcd193623032f245cfccf146c97efbc00b13ebc850377c9a6a0ac

Aliases

arxiv: 1509.06139 · arxiv_version: 1509.06139v1 · doi: 10.48550/arxiv.1509.06139 · pith_short_12: JINX3MUQJXGR · pith_short_16: JINX3MUQJXGRSNRD · pith_short_8: JINX3MUQ

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/JINX3MUQJXGRSNRDAMXSIXH4Z4 \
  | 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: 4a1b7db2904dcd193623032f245cfccf146c97efbc00b13ebc850377c9a6a0ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5638b4888441929a05a5cb9cbf3e5d8483256759df1d480f2f741e6b603137b4",
    "cross_cats_sorted": [
      "cs.DM",
      "cs.LO",
      "math.LO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-09-21T08:23:01Z",
    "title_canon_sha256": "1e28251623a8e6398046d2be0ad48e50201c0347bde7963c6c539cfd2af401f4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.06139",
    "kind": "arxiv",
    "version": 1
  }
}