Pith Number

pith:U62227QO

pith:2024:U62227QOJ74JKQXOV4I4JK4A4J

not attested not anchored not stored refs pending

Simple Norm Bounds for Polynomial Random Matrices via Decoupling

June Wu, Madhur Tulsiani

arxiv:2412.07936 v1 · 2024-12-10 · math.PR · cs.CC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{U62227QOJ74JKQXOV4I4JK4A4J}

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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

Matrix Chaos Inequalities and Chaos of Combinatorial Type

Receipt and verification

First computed	2026-07-05T09:47:41.422129Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a7b5ad7e0e4ff89542eeaf11c4ab80e261f4f05f3ca609901e1f4d6622232ac6

Aliases

arxiv: 2412.07936 · arxiv_version: 2412.07936v1 · doi: 10.48550/arxiv.2412.07936 · pith_short_12: U62227QOJ74J · pith_short_16: U62227QOJ74JKQXO · pith_short_8: U62227QO

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/U62227QOJ74JKQXOV4I4JK4A4J \
  | 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: a7b5ad7e0e4ff89542eeaf11c4ab80e261f4f05f3ca609901e1f4d6622232ac6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d8165fd4dcdd7a5db7f626febce8f40c0ddfcc348a0cb7ff83f55c7d96c6f45e",
    "cross_cats_sorted": [
      "cs.CC"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2024-12-10T21:43:09Z",
    "title_canon_sha256": "ee92918cadafd9b15354a43d5ea9a3186a9bb8949f05a7a8b8e503553ada2ccf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.07936",
    "kind": "arxiv",
    "version": 1
  }
}