Pith Number

pith:4G5AH24C

pith:2023:4G5AH24CFN7UVMLRWJLZNJQ6EZ

not attested not anchored not stored refs pending

Optimal rigidity and maximum of the characteristic polynomial of Wigner matrices

Ofer Zeitouni, Patrick Lopatto, Paul Bourgade

arxiv:2312.13335 v2 · 2023-12-20 · math.PR · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4G5AH24CFN7UVMLRWJLZNJQ6EZ}

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

Black Holes and Random Variables

Receipt and verification

First computed	2026-07-05T08:54:05.985301Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e1ba03eb822b7f4ab171b25796a61e26477b4d9875d27996685fb8a5ec59c77c

Aliases

arxiv: 2312.13335 · arxiv_version: 2312.13335v2 · doi: 10.48550/arxiv.2312.13335 · pith_short_12: 4G5AH24CFN7U · pith_short_16: 4G5AH24CFN7UVMLR · pith_short_8: 4G5AH24C

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/4G5AH24CFN7UVMLRWJLZNJQ6EZ \
  | 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: e1ba03eb822b7f4ab171b25796a61e26477b4d9875d27996685fb8a5ec59c77c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "45350822ff4f3637b01f5869a3b14261b390d6598644fcc3687c2887f6c0fa92",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2023-12-20T18:52:36Z",
    "title_canon_sha256": "f1451c41eccac511d26da0093bcc47200fa68f4d1127ea1bf50aa5c309904b07"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2312.13335",
    "kind": "arxiv",
    "version": 2
  }
}