Pith Number

pith:A3BNSBF3

pith:2025:A3BNSBF3HGUTVBVYPE223MDBUY

not attested not anchored not stored refs pending

Spectral gaps on thick part of moduli spaces

Haohao Zhang, Yunhui Wu

arxiv:2501.09266 v1 · 2025-01-16 · math.DG · math.CV · math.GT · math.NT · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{A3BNSBF3HGUTVBVYPE223MDBUY}

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	2026-07-05T10:01:44.371659Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

06c2d904bb39a93a86b87935adb061a63d37817641114f668112c694b1e0204c

Aliases

arxiv: 2501.09266 · arxiv_version: 2501.09266v1 · doi: 10.48550/arxiv.2501.09266 · pith_short_12: A3BNSBF3HGUT · pith_short_16: A3BNSBF3HGUTVBVY · pith_short_8: A3BNSBF3

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/A3BNSBF3HGUTVBVYPE223MDBUY \
  | 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: 06c2d904bb39a93a86b87935adb061a63d37817641114f668112c694b1e0204c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b0f3e4c842664f098525481df1ccea3c6f1fb970647019ac677de483f4c1835a",
    "cross_cats_sorted": [
      "math.CV",
      "math.GT",
      "math.NT",
      "math.SP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2025-01-16T03:31:37Z",
    "title_canon_sha256": "d28cba09176d357c0823d0f19a997bd0705091afdc863a49605f8fa5871a88b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.09266",
    "kind": "arxiv",
    "version": 1
  }
}