Pith Number

pith:5KZZ5L6K

pith:2015:5KZZ5L6KAAA3T44BGY5BSLSEB6

not attested not anchored not stored refs pending

Quadratic vector equations on complex upper half-plane

Laszlo Erdos, Oskari Ajanki, Torben Kr\"uger

arxiv:1506.05095 v6 · 2015-06-16 · math.PR · math-ph · math.FA · math.MP · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5KZZ5L6KAAA3T44BGY5BSLSEB6}

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.

Cited by

1 paper in Pith

Universality of the least singular value for the sum of random matrices

Receipt and verification

First computed	2026-07-05T01:08:56.427176Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eab39eafca0001b9f381363a192e440fa9812b93ad0e5b95111bf320a94a41aa

Aliases

arxiv: 1506.05095 · arxiv_version: 1506.05095v6 · doi: 10.48550/arxiv.1506.05095 · pith_short_12: 5KZZ5L6KAAA3 · pith_short_16: 5KZZ5L6KAAA3T44B · pith_short_8: 5KZZ5L6K

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/5KZZ5L6KAAA3T44BGY5BSLSEB6 \
  | 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: eab39eafca0001b9f381363a192e440fa9812b93ad0e5b95111bf320a94a41aa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "35caad9c04adf1891ea9fe7bd46fad1b22deed858d6a12126d230d2c872b888d",
    "cross_cats_sorted": [
      "math-ph",
      "math.FA",
      "math.MP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-06-16T19:47:41Z",
    "title_canon_sha256": "9c5712a4a1bb6152ffe13d732c0b611797f3e774ab3b6444aed50eac9f7187db"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.05095",
    "kind": "arxiv",
    "version": 6
  }
}