Pith Number

pith:KYTVQ3YN

pith:2014:KYTVQ3YNISMNGB3P35VT2EZKYY

not attested not anchored not stored refs pending

Sharp nonasymptotic bounds on the norm of random matrices with independent entries

Afonso S. Bandeira, Ramon van Handel

arxiv:1408.6185 v4 · 2014-08-26 · math.PR · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KYTVQ3YNISMNGB3P35VT2EZKYY}

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	2026-05-18T01:09:32.359018Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5627586f0d4498d3076fdf6b3d132ac61a3bbc4cc38627881f6adb2776dfe1d2

Aliases

arxiv: 1408.6185 · arxiv_version: 1408.6185v4 · doi: 10.48550/arxiv.1408.6185 · pith_short_12: KYTVQ3YNISMN · pith_short_16: KYTVQ3YNISMNGB3P · pith_short_8: KYTVQ3YN

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/KYTVQ3YNISMNGB3P35VT2EZKYY \
  | 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: 5627586f0d4498d3076fdf6b3d132ac61a3bbc4cc38627881f6adb2776dfe1d2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5f0e66437ad9feea246e83017a62e11da0fba431c8a975c539467c63eb201f16",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-08-26T16:57:18Z",
    "title_canon_sha256": "f913ceb5c8e46fd4bc02fe2501f6075ea8c71db1848c6f25351a38192449089b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.6185",
    "kind": "arxiv",
    "version": 4
  }
}