Pith Number

pith:FQDFZC5I

pith:2019:FQDFZC5IDKSWIYLMP3MUHIKNXD

not attested not anchored not stored refs pending

A tighter bound on the number of relevant variables in a bounded degree Boolean function

Jake Wellens

arxiv:1903.08214 v2 · 2019-03-19 · 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{FQDFZC5IDKSWIYLMP3MUHIKNXD}

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.

Cited by

1 paper in Pith

Classes Testable with $O(1/\epsilon)$ Queries for Small $\epsilon$ Independent of the Number of Variables

Receipt and verification

First computed	2026-05-17T23:50:44.334600Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2c065c8ba81aa564616c7ed943a14db8ccd1f3044ece685c1bea81ef92a2c6b3

Aliases

arxiv: 1903.08214 · arxiv_version: 1903.08214v2 · doi: 10.48550/arxiv.1903.08214 · pith_short_12: FQDFZC5IDKSW · pith_short_16: FQDFZC5IDKSWIYLM · pith_short_8: FQDFZC5I

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/FQDFZC5IDKSWIYLMP3MUHIKNXD \
  | 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: 2c065c8ba81aa564616c7ed943a14db8ccd1f3044ece685c1bea81ef92a2c6b3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a20f37c97cc4035f5d5174bc4c2873e31926be4a299cf9e7db6b716a0b159d35",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2019-03-19T19:00:44Z",
    "title_canon_sha256": "da95ff09b547d508366d90fe2e995468373bbb49aeef48bc27491538abc524f8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.08214",
    "kind": "arxiv",
    "version": 2
  }
}