Pith Number

pith:PMGBLZZ5

pith:2018:PMGBLZZ5EDTIAXCPBWC5U6IDFE

not attested not anchored not stored refs pending

Towards the average-case analysis of substitution resolution in $\lambda$-calculus

Maciej Bendkowski

arxiv:1812.04452 v1 · 2018-12-11 · cs.LO · 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{PMGBLZZ5EDTIAXCPBWC5U6IDFE}

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	2026-05-17T23:58:32.073549Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b0c15e73d20e6805c4f0d85da7903291bd690b8a8d36eb480a74511bb8c85e9

Aliases

arxiv: 1812.04452 · arxiv_version: 1812.04452v1 · doi: 10.48550/arxiv.1812.04452 · pith_short_12: PMGBLZZ5EDTI · pith_short_16: PMGBLZZ5EDTIAXCP · pith_short_8: PMGBLZZ5

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/PMGBLZZ5EDTIAXCPBWC5U6IDFE \
  | 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: 7b0c15e73d20e6805c4f0d85da7903291bd690b8a8d36eb480a74511bb8c85e9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9e5084e01db62ea72a1e1a56fe921ee7f22e1ea27987c234488f75fb767e1663",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2018-12-11T15:09:02Z",
    "title_canon_sha256": "a1001731f97be148e7d5431fa9599e86faee018e79b2fcf3dc2d977edce6e03f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.04452",
    "kind": "arxiv",
    "version": 1
  }
}