Pith Number

pith:BA7W6HGP

pith:2024:BA7W6HGPWQP76CD2CG6MAONEVI

not attested not anchored not stored refs pending

Spectral gap of random hyperbolic surfaces

Laura Monk, Nalini Anantharaman (CdF (institution))

arxiv:2403.12576 v1 · 2024-03-19 · math.GT · 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{BA7W6HGPWQP76CD2CG6MAONEVI}

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

3 papers in Pith

Cutoff for geodesic paths on hyperbolic manifolds

Quantum Mixing and Benjamini-Schramm Convergence of Hyperbolic Surfaces

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

Receipt and verification

First computed	2026-07-05T07:58:03.922659Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

083f6f1ccfb41fff087a11bcc039a4aa0aefcb051de6dabdc8cd39f621220b6f

Aliases

arxiv: 2403.12576 · arxiv_version: 2403.12576v1 · doi: 10.48550/arxiv.2403.12576 · pith_short_12: BA7W6HGPWQP7 · pith_short_16: BA7W6HGPWQP76CD2 · pith_short_8: BA7W6HGP

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/BA7W6HGPWQP76CD2CG6MAONEVI \
  | 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: 083f6f1ccfb41fff087a11bcc039a4aa0aefcb051de6dabdc8cd39f621220b6f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "97817ea52f4c6031894ba444a30ccd630f92760f0eed509c475cee79e07cc39f",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2024-03-19T09:34:33Z",
    "title_canon_sha256": "ea0519e06e64dfeae0fb3e88971babc4c6deb2cf1849463a510c0fe0175c7605"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2403.12576",
    "kind": "arxiv",
    "version": 1
  }
}