Pith Number

pith:PWNPU2AU

pith:2012:PWNPU2AUPATUXZUQBZCFGJKZVI

not attested not anchored not stored refs pending

Robust Optimality of Gaussian Noise Stability

Elchanan Mossel, Joe Neeman

arxiv:1210.4126 v3 · 2012-10-15 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PWNPU2AUPATUXZUQBZCFGJKZVI}

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	2026-05-18T03:32:47.366587Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7d9afa681478274be6900e44532559aa19d56cdea2a10a555365c3ef34f1ba7c

Aliases

arxiv: 1210.4126 · arxiv_version: 1210.4126v3 · doi: 10.48550/arxiv.1210.4126 · pith_short_12: PWNPU2AUPATU · pith_short_16: PWNPU2AUPATUXZUQ · pith_short_8: PWNPU2AU

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/PWNPU2AUPATUXZUQBZCFGJKZVI \
  | 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: 7d9afa681478274be6900e44532559aa19d56cdea2a10a555365c3ef34f1ba7c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "76e6eb7307a034ce2851de6ed83a989a338bd7271bd4cd4a389b79ba34d941ab",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-10-15T17:56:11Z",
    "title_canon_sha256": "392679d2c2bbd8abd0aed726dd4e9f0150c6f894d5b2cd0b223d04aabe7392d2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.4126",
    "kind": "arxiv",
    "version": 3
  }
}