Pith Number

pith:FFP36FAU

pith:2018:FFP36FAUDF3OXB3QTSQCF5LNTT

not attested not anchored not stored refs pending

Random band matrices in the delocalized phase, I: Quantum unique ergodicity and universality

Horng-Tzer Yau, Jun Yin, Paul Bourgade

arxiv:1807.01559 v1 · 2018-07-04 · 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{FFP36FAUDF3OXB3QTSQCF5LNTT}

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	2026-05-18T00:11:29.474965Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

295fbf14141976eb87709ca022f56d9cc7efcc2fdcc8fc8ff6570377335ef33c

Aliases

arxiv: 1807.01559 · arxiv_version: 1807.01559v1 · doi: 10.48550/arxiv.1807.01559 · pith_short_12: FFP36FAUDF3O · pith_short_16: FFP36FAUDF3OXB3Q · pith_short_8: FFP36FAU

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/FFP36FAUDF3OXB3QTSQCF5LNTT \
  | 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: 295fbf14141976eb87709ca022f56d9cc7efcc2fdcc8fc8ff6570377335ef33c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5395d65a39b4a6ae584d7636493fbef05fc771753cbdc16d8c50da10eef60b40",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-07-04T13:11:55Z",
    "title_canon_sha256": "99a3d0bd5772b3ae8cdade66d934658ac8d068983b6fb5982847e60c12e72c08"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.01559",
    "kind": "arxiv",
    "version": 1
  }
}