Pith Number

pith:SWZIM7B3

pith:2016:SWZIM7B3SZCL5E6VZDNZIEYSED

not attested not anchored not stored refs pending

On the number of equivalence classes of invertible Boolean functions under action of permutation of variables on domain and range

Marko Cari\'c, Miodrag \v{Z}ivkovi\'c

arxiv:1603.04386 v2 · 2016-02-08 · math.CO · cs.CR · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SWZIM7B3SZCL5E6VZDNZIEYSED}

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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	2026-05-18T01:17:36.668924Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

95b2867c3b9644be93d5c8db94131220ed478f3c50ac1270a0d8ab7c5b8c637f

Aliases

arxiv: 1603.04386 · arxiv_version: 1603.04386v2 · doi: 10.48550/arxiv.1603.04386 · pith_short_12: SWZIM7B3SZCL · pith_short_16: SWZIM7B3SZCL5E6V · pith_short_8: SWZIM7B3

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/SWZIM7B3SZCL5E6VZDNZIEYSED \
  | 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: 95b2867c3b9644be93d5c8db94131220ed478f3c50ac1270a0d8ab7c5b8c637f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "49080c7f2efa58b49cc222cbfcf49bae6f7cb9ead73828b8ab53055dd3025f18",
    "cross_cats_sorted": [
      "cs.CR",
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-02-08T16:38:54Z",
    "title_canon_sha256": "1682c83efc421912a53785ada2dba88a8bc32eeddb1e8c033965c04588cf2e33"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.04386",
    "kind": "arxiv",
    "version": 2
  }
}