Pith Number

pith:4UHAP6XI

pith:2024:4UHAP6XIUYACEH7PNHULIJRIAX

not attested not anchored not stored refs pending

Spectral radii of sparse non-Hermitian random matrices

Hyungwon Han

arxiv:2412.01086 v1 · 2024-12-02 · math.PR · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4UHAP6XIUYACEH7PNHULIJRIAX}

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	2026-07-05T09:42:53.639989Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e50e07fae8a600221fef69e8b4262805e5d6cff120f1654750e83305a5b739fd

Aliases

arxiv: 2412.01086 · arxiv_version: 2412.01086v1 · doi: 10.48550/arxiv.2412.01086 · pith_short_12: 4UHAP6XIUYAC · pith_short_16: 4UHAP6XIUYACEH7P · pith_short_8: 4UHAP6XI

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/4UHAP6XIUYACEH7PNHULIJRIAX \
  | 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: e50e07fae8a600221fef69e8b4262805e5d6cff120f1654750e83305a5b739fd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ad2706182e8e4116ef6b6ccf2565f512961d052b3954bc3da8019fcaecbeb992",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2024-12-02T03:45:25Z",
    "title_canon_sha256": "1c30522c905446d28869115a137393116a9fbef8d3dd2a61df714d470cc7ccc2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.01086",
    "kind": "arxiv",
    "version": 1
  }
}