Pith Number

pith:UEKPF6YU

pith:2025:UEKPF6YULIM2PB3MKILVW57A3M

not attested not anchored not stored refs pending

Spectral gap with polynomial rate for random covering surfaces

Davide Macera, Joe Thomas, Will Hide

arxiv:2505.08479 v1 · 2025-05-13 · math.SP · math.DG · math.OA · 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{UEKPF6YULIM2PB3MKILVW57A3M}

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.

Cited by

2 papers in Pith

Flexibility of eigenvalues for graph Laplacians arising from genus 3 surfaces

Quantum Mixing for Schr\"odinger eigenfunctions in Benjamini-Schramm limit

Receipt and verification

First computed	2026-07-05T11:02:30.882795Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a114f2fb145a19a7876c52175b77e0db3aa595ed5d33f9cb583c35604f9c05d9

Aliases

arxiv: 2505.08479 · arxiv_version: 2505.08479v1 · doi: 10.48550/arxiv.2505.08479 · pith_short_12: UEKPF6YULIM2 · pith_short_16: UEKPF6YULIM2PB3M · pith_short_8: UEKPF6YU

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/UEKPF6YULIM2PB3MKILVW57A3M \
  | 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: a114f2fb145a19a7876c52175b77e0db3aa595ed5d33f9cb583c35604f9c05d9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8c66a8dcbc381c4ec4c34f8748ea1ce6023733162faec95eb49497fde3161231",
    "cross_cats_sorted": [
      "math.DG",
      "math.OA",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2025-05-13T12:05:04Z",
    "title_canon_sha256": "e75117285006432e394ede4678dceeef0b27d62ff4db5e671647ebddda8eec20"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.08479",
    "kind": "arxiv",
    "version": 1
  }
}