Pith Number

pith:FQUEPNJH

pith:2018:FQUEPNJHG66COW2WHS44YEZZTX

not attested not anchored not stored refs pending

Operator norm upper bound for sub-Gaussian tailed random matrices

Eric Benhamou, Jamal Atif, Rida Laraki

arxiv:1812.09618 v2 · 2018-12-22 · 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{FQUEPNJHG66COW2WHS44YEZZTX}

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	2026-05-17T23:55:53.282381Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2c2847b52737bc275b563cb9cc13399dd39dcd05e797898a03ae484410bef0c3

Aliases

arxiv: 1812.09618 · arxiv_version: 1812.09618v2 · doi: 10.48550/arxiv.1812.09618 · pith_short_12: FQUEPNJHG66C · pith_short_16: FQUEPNJHG66COW2W · pith_short_8: FQUEPNJH

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/FQUEPNJHG66COW2WHS44YEZZTX \
  | 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: 2c2847b52737bc275b563cb9cc13399dd39dcd05e797898a03ae484410bef0c3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7c04ec518e9b23fa755513f44bc982ecf78813b035ef0d65444fbee15ee3408a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-12-22T22:59:12Z",
    "title_canon_sha256": "4c7627d3023a039b424870d1a96271c50e25d017d18171f86b84779a273a5d28"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.09618",
    "kind": "arxiv",
    "version": 2
  }
}