Pith Number

pith:SLA4GFOG

pith:2019:SLA4GFOGJVTD4JPKUZLAUP67A6

not attested not anchored not stored refs pending

Square-integrability of the Mirzakhani function and statistics of simple closed geodesics on hyperbolic surfaces

Francisco Arana-Herrera, Jayadev S. Athreya

arxiv:1907.06287 v1 · 2019-07-14 · math.DS · math.GT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SLA4GFOGJVTD4JPKUZLAUP67A6}

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	2026-05-17T23:40:38.034481Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

92c1c315c64d663e25eaa6560a3fdf0798f6b2431da215c583edb21c7fd707fe

Aliases

arxiv: 1907.06287 · arxiv_version: 1907.06287v1 · doi: 10.48550/arxiv.1907.06287 · pith_short_12: SLA4GFOGJVTD · pith_short_16: SLA4GFOGJVTD4JPK · pith_short_8: SLA4GFOG

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/SLA4GFOGJVTD4JPKUZLAUP67A6 \
  | 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: 92c1c315c64d663e25eaa6560a3fdf0798f6b2431da215c583edb21c7fd707fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "40f9450e43abdaf174e4a7664ecbb435bccfb9ff314ef988fa8d7d19f4098279",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2019-07-14T22:05:22Z",
    "title_canon_sha256": "6ccb2cec46e0f33968cacb96369a047edb016eda3b87edb17d8f36f08df4c61e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.06287",
    "kind": "arxiv",
    "version": 1
  }
}