Pith Number

pith:BKUS3MYT

pith:2025:BKUS3MYTHZMQAIXEMDWBD3JMA2

not attested not anchored not stored refs pending

Nearly optimal spectral gaps for random Belyi surfaces

Yang Shen, Yunhui Wu

arxiv:2511.02517 v3 · 2025-11-04 · math.SP · math.DG · math.GT · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BKUS3MYTHZMQAIXEMDWBD3JMA2}

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	2026-06-10T01:09:46.137456Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0aa92db3133e590022e460ec11ed2c0684d0bf344859c3a13389e4231c3f6863

Aliases

arxiv: 2511.02517 · arxiv_version: 2511.02517v3 · doi: 10.48550/arxiv.2511.02517 · pith_short_12: BKUS3MYTHZMQ · pith_short_16: BKUS3MYTHZMQAIXE · pith_short_8: BKUS3MYT

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/BKUS3MYTHZMQAIXEMDWBD3JMA2 \
  | 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: 0aa92db3133e590022e460ec11ed2c0684d0bf344859c3a13389e4231c3f6863

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "592f5c82a99b7c73175ee506cd1d6cd76c4ff17beb24adf326ab6007e19ecf31",
    "cross_cats_sorted": [
      "math.DG",
      "math.GT",
      "math.RT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2025-11-04T12:08:28Z",
    "title_canon_sha256": "6641ff6628c6a934d7e5ef3f32afbbd0e1badda7eb73823bee2fd46bf79c871b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2511.02517",
    "kind": "arxiv",
    "version": 3
  }
}