Pith Number

pith:WPD32JBC

pith:2012:WPD32JBCYVXM7ZA3LTKQ6Z3CZX

not attested not anchored not stored refs pending

On K-wise Independent Distributions and Boolean Functions

Itai Benjamini, Ori Gurel-Gurevich, Ron Peled

arxiv:1201.3261 v1 · 2012-01-16 · math.PR · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WPD32JBCYVXM7ZA3LTKQ6Z3CZX}

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

Low-Degree Fourier Threshold for Random Boolean Functions

Receipt and verification

First computed	2026-05-18T04:04:31.769257Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b3c7bd2422c56ecfe41b5cd50f6762cde4642b25d3c75c9aec215484d40c68e9

Aliases

arxiv: 1201.3261 · arxiv_version: 1201.3261v1 · doi: 10.48550/arxiv.1201.3261 · pith_short_12: WPD32JBCYVXM · pith_short_16: WPD32JBCYVXM7ZA3 · pith_short_8: WPD32JBC

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/WPD32JBCYVXM7ZA3LTKQ6Z3CZX \
  | 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: b3c7bd2422c56ecfe41b5cd50f6762cde4642b25d3c75c9aec215484d40c68e9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d82fa6df4da6a1838623a5a4ed26c352cce4b2f2cb952b8ee781096ed432db3c",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-01-16T14:04:28Z",
    "title_canon_sha256": "becb72d6cbe53b8454d463a79811a38d7aee73a3da5b4adb39ee3195465b2fc7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.3261",
    "kind": "arxiv",
    "version": 1
  }
}