Pith Number

pith:X5A2LTE2

pith:2024:X5A2LTE2T6EVXD4Y7GFSAHOJUY

not attested not anchored not stored refs pending

The limit points of the bass notes of arithmetic hyperbolic surfaces

Michael Magee

arxiv:2403.00928 v2 · 2024-03-01 · math.NT · math.AP · math.DG · math.PR · 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{X5A2LTE2T6EVXD4Y7GFSAHOJUY}

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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

2 papers in Pith

Bass notes of random hyperbolic surfaces of large genus

Quantum Mixing and Benjamini-Schramm Convergence of Hyperbolic Surfaces

Receipt and verification

First computed	2026-07-05T08:03:49.431435Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf41a5cc9a9f895b8f98f98b201dc9a626c76924edad00c4d5a2f3835be2a478

Aliases

arxiv: 2403.00928 · arxiv_version: 2403.00928v2 · doi: 10.48550/arxiv.2403.00928 · pith_short_12: X5A2LTE2T6EV · pith_short_16: X5A2LTE2T6EVXD4Y · pith_short_8: X5A2LTE2

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/X5A2LTE2T6EVXD4Y7GFSAHOJUY \
  | 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: bf41a5cc9a9f895b8f98f98b201dc9a626c76924edad00c4d5a2f3835be2a478

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0503bc13c4ac8ff0ea7d8fcb194c4e52510ad8c181cd1ef19cf0eb2f2c909e35",
    "cross_cats_sorted": [
      "math.AP",
      "math.DG",
      "math.PR",
      "math.SP"
    ],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2024-03-01T19:16:58Z",
    "title_canon_sha256": "14b0a554ccae43a5741d2bdb6d6abf1a2dd321b1561d33c6bd38d78ff772167d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2403.00928",
    "kind": "arxiv",
    "version": 2
  }
}