Pith Number

pith:MO2N22AI

pith:2014:MO2N22AIOFZX3RI55VDVSXGGL2

not attested not anchored not stored refs pending

The relation between tree size complexity and probability for Boolean functions generated by uniform random trees

Antoine Genitrini, Bernhard Gittenberger, C\'ecile Mailler, Veronika Kraus

arxiv:1407.0501 v2 · 2014-07-02 · math.CO · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MO2N22AIOFZX3RI55VDVSXGGL2}

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	2026-05-18T01:32:08.435476Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

63b4dd680871737dc51ded47595cc65ea43f05de2e7ffe39c64362f82d8e6365

Aliases

arxiv: 1407.0501 · arxiv_version: 1407.0501v2 · doi: 10.48550/arxiv.1407.0501 · pith_short_12: MO2N22AIOFZX · pith_short_16: MO2N22AIOFZX3RI5 · pith_short_8: MO2N22AI

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/MO2N22AIOFZX3RI55VDVSXGGL2 \
  | 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: 63b4dd680871737dc51ded47595cc65ea43f05de2e7ffe39c64362f82d8e6365

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1b63337847009792ccbce94cf50ba6515b8bdddeb909e8fea5fdc01c09de059d",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-07-02T09:54:00Z",
    "title_canon_sha256": "61f1fc3b6f0c1dd526a2676fb7d9cc42ea43c1b10dde68bcbce11fb87b3a9b50"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.0501",
    "kind": "arxiv",
    "version": 2
  }
}