Pith Number

pith:IZRD3DRT

pith:2013:IZRD3DRTFHUBEGCCYKHFJ36YMP

not attested not anchored not stored refs pending

Generalization of Boole-Shannon expansion, consistency of Boolean equations and elimination by orthonormal expansion

Virendra Sule

arxiv:1306.2484 v3 · 2013-06-11 · cs.CC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IZRD3DRTFHUBEGCCYKHFJ36YMP}

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	2026-05-18T03:05:28.076807Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

46623d8e3329e8121842c28e54efd863d91d1ae90c346fddad4d67cb87cbb74f

Aliases

arxiv: 1306.2484 · arxiv_version: 1306.2484v3 · doi: 10.48550/arxiv.1306.2484 · pith_short_12: IZRD3DRTFHUB · pith_short_16: IZRD3DRTFHUBEGCC · pith_short_8: IZRD3DRT

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/IZRD3DRTFHUBEGCCYKHFJ36YMP \
  | 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: 46623d8e3329e8121842c28e54efd863d91d1ae90c346fddad4d67cb87cbb74f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a16bdd84621c70c3d27767b6dabd5feb80e24b31798438854bca72f659eb0958",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2013-06-11T10:50:57Z",
    "title_canon_sha256": "cc594691d70810b48aeb23400df26541b9289bdce046105d3f73740744d984c4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.2484",
    "kind": "arxiv",
    "version": 3
  }
}