Pith Number

pith:KVTCBSZP

pith:2022:KVTCBSZPS2TETUCE7H4O5TSAYI

not attested not anchored not stored refs pending

Quantitative invertibility of non-Hermitian random matrices

Konstantin Tikhomirov

arxiv:2206.00601 v1 · 2022-06-01 · math.PR

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KVTCBSZPS2TETUCE7H4O5TSAYI}

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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

An upper bound on the smallest singular value of dense random combinatorial matrices

Receipt and verification

First computed	2026-07-05T04:28:18.262766Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

556620cb2f96a649d044f9f8eece40c23935a680e7df0fb40f3120d9dcb9838d

Aliases

arxiv: 2206.00601 · arxiv_version: 2206.00601v1 · doi: 10.48550/arxiv.2206.00601 · pith_short_12: KVTCBSZPS2TE · pith_short_16: KVTCBSZPS2TETUCE · pith_short_8: KVTCBSZP

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/KVTCBSZPS2TETUCE7H4O5TSAYI \
  | 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: 556620cb2f96a649d044f9f8eece40c23935a680e7df0fb40f3120d9dcb9838d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dd8ff7729a5503ef3eff477287ae7f99d9d653d6a71368be84789cd5ed31250f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2022-06-01T16:15:08Z",
    "title_canon_sha256": "250492f0b9721ff1cdbad8d619d40ecf16be7b1122b4e54e7011ac4a9e18cc96"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2206.00601",
    "kind": "arxiv",
    "version": 1
  }
}