Pith Number

pith:D5VYKPSQ

pith:1998:D5VYKPSQNJFPBV7LCVYPGNQYGN

not attested not anchored not stored refs pending

Noise Sensitivity of Boolean Functions and Applications to Percolation

Gil Kalai, Itai Benjamini, Oded Schramm

arxiv:math/9811157 v2 · 1998-11-26 · math.PR · math-ph · math.CO · math.FA · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{D5VYKPSQNJFPBV7LCVYPGNQYGN}

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	2026-07-04T15:16:41.062742Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1f6b853e506a4af0d7eb1570f3361833594a99f856fef165ba9f4d2387970e37

Aliases

arxiv: math/9811157 · arxiv_version: math/9811157v2 · doi: 10.48550/arxiv.math/9811157 · pith_short_12: D5VYKPSQNJFP · pith_short_16: D5VYKPSQNJFPBV7L · pith_short_8: D5VYKPSQ

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/D5VYKPSQNJFPBV7LCVYPGNQYGN \
  | 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: 1f6b853e506a4af0d7eb1570f3361833594a99f856fef165ba9f4d2387970e37

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0709bab708986b9678e492922ff7331442fe76f560f193e4b1bd33ff52cd0bb2",
    "cross_cats_sorted": [
      "math-ph",
      "math.CO",
      "math.FA",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "1998-11-26T14:53:39Z",
    "title_canon_sha256": "67db00d42335dd6103fabcdf2b48604eede8dd3d473ae3e6d7b56087c9557a60"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9811157",
    "kind": "arxiv",
    "version": 2
  }
}