Pith Number

pith:WIE5T73M

pith:2025:WIE5T73MLOTMCY5SIXREJ2Y6HU

not attested not anchored not stored refs pending

Friedman-Ramanujan functions in random hyperbolic geometry and application to spectral gaps II

Laura Monk, Nalini Anantharaman

arxiv:2502.12268 v2 · 2025-02-17 · math.MG · math.SP

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\usepackage{pith}
\pithnumber{WIE5T73MLOTMCY5SIXREJ2Y6HU}

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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

5 papers in Pith

Typical distances in high-genus triangulations

Integrals of general geometric random variables on the moduli space of hyperbolic surfaces

Flexibility of eigenvalues for graph Laplacians arising from genus 3 surfaces

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

Typical hyperbolic surfaces have a spectral gap greater than $2/9 - \epsilon$

Receipt and verification

First computed	2026-07-05T11:19:51.428642Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b209d9ff6c5ba6c163b245e244eb1e3d036793fd92b8044b04d9176d27628f36

Aliases

arxiv: 2502.12268 · arxiv_version: 2502.12268v2 · doi: 10.48550/arxiv.2502.12268 · pith_short_12: WIE5T73MLOTM · pith_short_16: WIE5T73MLOTMCY5S · pith_short_8: WIE5T73M

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/WIE5T73MLOTMCY5SIXREJ2Y6HU \
  | 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: b209d9ff6c5ba6c163b245e244eb1e3d036793fd92b8044b04d9176d27628f36

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0b984f4515e6df4ba7735d08ff4ebbfb3a207a2c549204927064a50078702469",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2025-02-17T19:08:30Z",
    "title_canon_sha256": "9b5529e064733957b07d361041c4e34f0fed5817532090258cf63862cc492465"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.12268",
    "kind": "arxiv",
    "version": 2
  }
}