Pith Number

pith:NCNQTI66

pith:2011:NCNQTI66VPM4DF5Y4OUFZXL22G

not attested not anchored not stored refs pending

Smallest singular value of sparse random matrices

Alexander Litvak, Omar Rivasplata

arxiv:1106.0938 v3 · 2011-06-05 · math.PR · math.FA

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NCNQTI66VPM4DF5Y4OUFZXL22G}

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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

A Quantum Linear Systems Pathway for Solving Differential Equations

Receipt and verification

First computed	2026-05-18T03:38:05.178450Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

689b09a3deabd9c197b8e3a85cdd7ad19e46bbeff4e3d5c7a3adc6856c6ce20d

Aliases

arxiv: 1106.0938 · arxiv_version: 1106.0938v3 · doi: 10.48550/arxiv.1106.0938 · pith_short_12: NCNQTI66VPM4 · pith_short_16: NCNQTI66VPM4DF5Y · pith_short_8: NCNQTI66

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/NCNQTI66VPM4DF5Y4OUFZXL22G \
  | 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: 689b09a3deabd9c197b8e3a85cdd7ad19e46bbeff4e3d5c7a3adc6856c6ce20d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4bfd8449286fff54e27bbf232c9eefae4719d174936c0ae4b04b6e24e02f9191",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-06-05T23:53:16Z",
    "title_canon_sha256": "24889e2dbf540d691c422db9c5ed11f1cc0c2dcfb83e705991bde08b5ee8e930"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.0938",
    "kind": "arxiv",
    "version": 3
  }
}