Pith Number

pith:MXDRP5DP

pith:2015:MXDRP5DPXNIW4WP5ANNVNMRM36

not attested not anchored not stored refs pending

Linear lambda terms as invariants of rooted trivalent maps

Noam Zeilberger

arxiv:1512.06751 v3 · 2015-12-21 · cs.LO · math.CO · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MXDRP5DPXNIW4WP5ANNVNMRM36}

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	2026-05-18T00:45:02.743840Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

65c717f46fbb516e59fd035b56b22cdfbdb4b5a1ccb799a34feaa3907cea861c

Aliases

arxiv: 1512.06751 · arxiv_version: 1512.06751v3 · doi: 10.48550/arxiv.1512.06751 · pith_short_12: MXDRP5DPXNIW · pith_short_16: MXDRP5DPXNIW4WP5 · pith_short_8: MXDRP5DP

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/MXDRP5DPXNIW4WP5ANNVNMRM36 \
  | 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: 65c717f46fbb516e59fd035b56b22cdfbdb4b5a1ccb799a34feaa3907cea861c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "80bcf23e0a660e5e2ca66186f14a19be3f6c5e2d27f837338e2378400f7113b6",
    "cross_cats_sorted": [
      "math.CO",
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2015-12-21T18:38:31Z",
    "title_canon_sha256": "d41650be878572c2ea6aaef762b83694c042fdf19c3c7f0d89935d0251478550"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.06751",
    "kind": "arxiv",
    "version": 3
  }
}