Pith Number

pith:WPOVITEE

pith:2018:WPOVITEEMHPKZCKN3YXUFBPNBY

not attested not anchored not stored refs pending

An Asymptotically Tight Bound on the Number of Relevant Variables in a Bounded Degree Boolean Function

John Chiarelli, Michael Saks, Pooya Hatami

arxiv:1801.08564 v3 · 2018-01-25 · math.CO · 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{WPOVITEEMHPKZCKN3YXUFBPNBY}

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	2026-05-18T00:00:30.701629Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b3dd544c8461deac894dde2f4285ed0e09f0a6ef83f9c5ae90baf1e50d8d029b

Aliases

arxiv: 1801.08564 · arxiv_version: 1801.08564v3 · doi: 10.48550/arxiv.1801.08564 · pith_short_12: WPOVITEEMHPK · pith_short_16: WPOVITEEMHPKZCKN · pith_short_8: WPOVITEE

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/WPOVITEEMHPKZCKN3YXUFBPNBY \
  | 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: b3dd544c8461deac894dde2f4285ed0e09f0a6ef83f9c5ae90baf1e50d8d029b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "82c723c60798fcbac184c5a942fb205d0a1d630c8a68dea6d496b4a551fdc87f",
    "cross_cats_sorted": [
      "cs.CC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-01-25T19:14:02Z",
    "title_canon_sha256": "ca099910f1fc2099d47f6abd319ad70cc68c8268bd0a10127021c57c97820a16"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.08564",
    "kind": "arxiv",
    "version": 3
  }
}