Pith Number

pith:IOCQNNVF

pith:2016:IOCQNNVFV3FAR22H3LK34GUE5L

not attested not anchored not stored refs pending

Combinatorics of $\lambda$-terms: a natural approach

Katarzyna Grygiel, Maciej Bendkowski, Marek Zaionc, Pierre Lescanne

arxiv:1609.07593 v2 · 2016-09-24 · cs.LO · cs.DM · math.CO · 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{IOCQNNVFV3FAR22H3LK34GUE5L}

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	2026-05-18T01:02:20.433569Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

438506b6a5aeca08eb47dad5be1a84eae8be91a9b67a3442cf577a1bb1203843

Aliases

arxiv: 1609.07593 · arxiv_version: 1609.07593v2 · doi: 10.48550/arxiv.1609.07593 · pith_short_12: IOCQNNVFV3FA · pith_short_16: IOCQNNVFV3FAR22H · pith_short_8: IOCQNNVF

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/IOCQNNVFV3FAR22H3LK34GUE5L \
  | 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: 438506b6a5aeca08eb47dad5be1a84eae8be91a9b67a3442cf577a1bb1203843

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bbf8c976f9c464bb80941af748fb955fa57a4a7e0d676fe44e6e444cf8c12114",
    "cross_cats_sorted": [
      "cs.DM",
      "math.CO",
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2016-09-24T09:50:25Z",
    "title_canon_sha256": "39854c80cf2227f403ce8eaeb43af558427e539a8f1ac7a9431bbc8062aa5356"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.07593",
    "kind": "arxiv",
    "version": 2
  }
}