Pith Number

pith:J5NJOPLL

pith:2026:J5NJOPLLHLDLH2AJFUERJ5HUAN

not attested not anchored not stored refs pending

Exact $L^p$ growth rates of Laplace eigenfunctions on the unit disk

Haoyu Cheng

arxiv:2606.02428 v1 · 2026-06-01 · 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{J5NJOPLLHLDLH2AJFUERJ5HUAN}

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	2026-06-02T03:04:59.048971Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f5a973d6b3ac6b3e8092d0914f4f4034faac1632b851328f9c03e55c1d37cc8

Aliases

arxiv: 2606.02428 · arxiv_version: 2606.02428v1 · doi: 10.48550/arxiv.2606.02428 · pith_short_12: J5NJOPLLHLDL · pith_short_16: J5NJOPLLHLDLH2AJ · pith_short_8: J5NJOPLL

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/J5NJOPLLHLDLH2AJFUERJ5HUAN \
  | 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: 4f5a973d6b3ac6b3e8092d0914f4f4034faac1632b851328f9c03e55c1d37cc8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bf1ec4d2e43d2a2ec407daeca850ec41d084b885be97e41101b3b93e56750e17",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2026-06-01T16:04:35Z",
    "title_canon_sha256": "3587a5b91e084f589ba1bd365766c7adade193cccc4c2a6081ffa871b5b5b434"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.02428",
    "kind": "arxiv",
    "version": 1
  }
}