Pith Number

pith:OZFZCNM3

pith:2011:OZFZCNM3IASFFSIIZKSNZPKE3I

not attested not anchored not stored refs pending

Using a Non-Commutative Bernstein Bound to Approximate Some Matrix Algorithms in the Spectral Norm

Malik Magdon-Ismail

arxiv:1103.5453 v1 · 2011-03-28 · cs.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OZFZCNM3IASFFSIIZKSNZPKE3I}

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	2026-05-18T04:25:38.029043Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

764b91359b402452c908caa4dcbd44da15b45ee5852b16aafdb035dd190d3e71

Aliases

arxiv: 1103.5453 · arxiv_version: 1103.5453v1 · doi: 10.48550/arxiv.1103.5453 · pith_short_12: OZFZCNM3IASF · pith_short_16: OZFZCNM3IASFFSII · pith_short_8: OZFZCNM3

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/OZFZCNM3IASFFSIIZKSNZPKE3I \
  | 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: 764b91359b402452c908caa4dcbd44da15b45ee5852b16aafdb035dd190d3e71

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "070b45b362fd3292fb1e24a863d0c1c7594da6a23a2e266919882766ddf4d451",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2011-03-28T19:37:20Z",
    "title_canon_sha256": "fed6f55a3572b275c66227f8c93fc1d137fc8b5ae4a765a957c23a2f86c58457"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.5453",
    "kind": "arxiv",
    "version": 1
  }
}