Pith Number

pith:IQXZ3ECZ

pith:2015:IQXZ3ECZ7Q633PCFII7GK6IKMN

not attested not anchored not stored refs pending

Maximum of the characteristic polynomial of random unitary matrices

David Belius, Louis-Pierre Arguin, Paul Bourgade

arxiv:1511.07399 v3 · 2015-11-23 · 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{IQXZ3ECZ7Q633PCFII7GK6IKMN}

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	2026-05-18T01:04:14.238647Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

442f9d9059fc3dbdbc45423e65790a636361f51689b6b55ec620d788926c7d83

Aliases

arxiv: 1511.07399 · arxiv_version: 1511.07399v3 · doi: 10.48550/arxiv.1511.07399 · pith_short_12: IQXZ3ECZ7Q63 · pith_short_16: IQXZ3ECZ7Q633PCF · pith_short_8: IQXZ3ECZ

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/IQXZ3ECZ7Q633PCFII7GK6IKMN \
  | 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: 442f9d9059fc3dbdbc45423e65790a636361f51689b6b55ec620d788926c7d83

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c21d7640dd637ff2209540f31ec3af0ac415b4c3ce4d823f0787a20cd3a6b794",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-11-23T20:22:52Z",
    "title_canon_sha256": "c69de42812d2b4b3ad1d46550ab591edc7288d739df209806db5270430eda667"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.07399",
    "kind": "arxiv",
    "version": 3
  }
}