Pith Number

pith:BLII3N5T

pith:2010:BLII3N5TCVSVBM4JQ55ZX3OKGQ

not attested not anchored not stored refs pending

The norm of polynomials in large random and deterministic matrices

C. Male

arxiv:1004.4155 v5 · 2010-04-23 · math.PR · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BLII3N5TCVSVBM4JQ55ZX3OKGQ}

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	2026-05-18T04:21:53.098128Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0ad08db7b3156550b389877b9bedca341a33c91a2116260dda5a185046170ade

Aliases

arxiv: 1004.4155 · arxiv_version: 1004.4155v5 · doi: 10.48550/arxiv.1004.4155 · pith_short_12: BLII3N5TCVSV · pith_short_16: BLII3N5TCVSVBM4J · pith_short_8: BLII3N5T

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/BLII3N5TCVSVBM4JQ55ZX3OKGQ \
  | 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: 0ad08db7b3156550b389877b9bedca341a33c91a2116260dda5a185046170ade

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d3c0927c7835b590517083f4ca2b4ddea23815da45c06fcdd4ad30506a478d7c",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-04-23T15:09:41Z",
    "title_canon_sha256": "f6ba495560f378a2ef61d812290ef54564fe6f09c1a1afe4da15b5a8e084cc40"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.4155",
    "kind": "arxiv",
    "version": 5
  }
}