Pith Number

pith:YZ3DRP3Z

pith:2012:YZ3DRP3ZKSR6QOV6BJBVA3DXZM

not attested not anchored not stored refs pending

Z_2-Algebras in the Boolean Function Irreducible Decomposition

Federico Zertuche, Martha Takane

arxiv:1208.0332 v1 · 2012-08-01 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YZ3DRP3ZKSR6QOV6BJBVA3DXZM}

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	2026-05-18T03:49:34.467872Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c67638bf7954a3e83abe0a43506c77cb2eff23fcf5fb39937d9b2e74adf49aed

Aliases

arxiv: 1208.0332 · arxiv_version: 1208.0332v1 · doi: 10.48550/arxiv.1208.0332 · pith_short_12: YZ3DRP3ZKSR6 · pith_short_16: YZ3DRP3ZKSR6QOV6 · pith_short_8: YZ3DRP3Z

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/YZ3DRP3ZKSR6QOV6BJBVA3DXZM \
  | 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: c67638bf7954a3e83abe0a43506c77cb2eff23fcf5fb39937d9b2e74adf49aed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "530bc8a045d7bbffc81421081b8da721c84681e02f71cc6c9a9ad5c6abe7fda8",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-08-01T16:50:51Z",
    "title_canon_sha256": "9b0288a15e19e96ac79fa508e2b9a19ad18fc9f9daa73437ffeda251a15bbaa7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.0332",
    "kind": "arxiv",
    "version": 1
  }
}