Pith Number

pith:YME5WWZI

pith:2015:YME5WWZIHDKVL67LHUPD7KJRJ6

not attested not anchored not stored refs pending

Stratification and enumeration of Boolean functions by canalizing depth

Matthew Macauley, Qijun He

arxiv:1504.07591 v1 · 2015-04-28 · cs.DM · math.CO · physics.bio-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YME5WWZIHDKVL67LHUPD7KJRJ6}

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	2026-05-18T02:17:34.302516Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c309db5b2838d555fbeb3d1e3fa9314fb9c5204491d3cf738466de29c96e5454

Aliases

arxiv: 1504.07591 · arxiv_version: 1504.07591v1 · doi: 10.48550/arxiv.1504.07591 · pith_short_12: YME5WWZIHDKV · pith_short_16: YME5WWZIHDKVL67L · pith_short_8: YME5WWZI

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/YME5WWZIHDKVL67LHUPD7KJRJ6 \
  | 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: c309db5b2838d555fbeb3d1e3fa9314fb9c5204491d3cf738466de29c96e5454

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "04273693e56050e474be82cf025af465cc2b6ee2ffc04a83c16317e8839d7301",
    "cross_cats_sorted": [
      "math.CO",
      "physics.bio-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2015-04-28T18:24:26Z",
    "title_canon_sha256": "b1f46b22c7227f0bd8eba06f78632ff89150104c23144fb5de2276d1c9e7b4f0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.07591",
    "kind": "arxiv",
    "version": 1
  }
}