Pith Number

pith:NNQLK6XG

pith:2016:NNQLK6XG25QB54YRCD2O6PURK2

not attested not anchored not stored refs pending

Upper bound for intermediate singular values of random matrices

Feng Wei

arxiv:1606.03931 v3 · 2016-06-13 · 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{NNQLK6XG25QB54YRCD2O6PURK2}

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	2026-05-18T01:10:02.448988Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6b60b57ae6d7601ef31110f4ef3e91568aed320ba4238afd51f1081b092f1bbb

Aliases

arxiv: 1606.03931 · arxiv_version: 1606.03931v3 · doi: 10.48550/arxiv.1606.03931 · pith_short_12: NNQLK6XG25QB · pith_short_16: NNQLK6XG25QB54YR · pith_short_8: NNQLK6XG

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/NNQLK6XG25QB54YRCD2O6PURK2 \
  | 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: 6b60b57ae6d7601ef31110f4ef3e91568aed320ba4238afd51f1081b092f1bbb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1a3b5df5422481c5fafe027c8459318b1bc3327cfade9fd6025b09e0483c263a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-06-13T13:02:31Z",
    "title_canon_sha256": "e8240ce7d1b7026171422afce5f6db241f95c23ae117c3cf90fafecfc43df8bd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.03931",
    "kind": "arxiv",
    "version": 3
  }
}