Pith Number

pith:LNXA4HMM

pith:2018:LNXA4HMMDDPWZSGDZ6T5JXM7YU

not attested not anchored not stored refs pending

An upper bound on the smallest singular value of a square random matrix

Kateryna Tatarko

arxiv:1805.05018 v2 · 2018-05-14 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LNXA4HMMDDPWZSGDZ6T5JXM7YU}

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	2026-05-18T00:00:19.532307Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5b6e0e1d8c18df6cc8c3cfa7d4dd9fc5259c86bd63599e0db75d64c8f2a4daa8

Aliases

arxiv: 1805.05018 · arxiv_version: 1805.05018v2 · doi: 10.48550/arxiv.1805.05018 · pith_short_12: LNXA4HMMDDPW · pith_short_16: LNXA4HMMDDPWZSGD · pith_short_8: LNXA4HMM

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/LNXA4HMMDDPWZSGDZ6T5JXM7YU \
  | 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: 5b6e0e1d8c18df6cc8c3cfa7d4dd9fc5259c86bd63599e0db75d64c8f2a4daa8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "319f375b879e361dd3ee92d706ac82396b7ca738027e92aacc8e34688ee0ca78",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-05-14T06:08:55Z",
    "title_canon_sha256": "e04de85a134dc462a2c9bee73bbd4bb59aad32c9c3749d89e0a1578504778a37"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.05018",
    "kind": "arxiv",
    "version": 2
  }
}