Pith Number

pith:TIB72AOK

pith:2017:TIB72AOK76LC2IUQ564NOQ4JYR

not attested not anchored not stored refs pending

Simpler proof for nonlinearity of majority function

Thomas W. Cusick

arxiv:1710.02034 v2 · 2017-10-05 · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TIB72AOK76LC2IUQ564NOQ4JYR}

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	2026-05-18T00:23:13.949209Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9a03fd01caff962d2290efb8d74389c4543632295cae656fe067e6f31ac0e0a5

Aliases

arxiv: 1710.02034 · arxiv_version: 1710.02034v2 · doi: 10.48550/arxiv.1710.02034 · pith_short_12: TIB72AOK76LC · pith_short_16: TIB72AOK76LC2IUQ · pith_short_8: TIB72AOK

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/TIB72AOK76LC2IUQ564NOQ4JYR \
  | 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: 9a03fd01caff962d2290efb8d74389c4543632295cae656fe067e6f31ac0e0a5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "14046fc31f7de7ead1aed89d452773fbbcc60daea3e31e2074cb76f2fe028cce",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2017-10-05T14:08:59Z",
    "title_canon_sha256": "594fc3790e9b6fb228767664c7c6f62670e57571551d8420a8f4d3b469fe5039"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.02034",
    "kind": "arxiv",
    "version": 2
  }
}