Pith Number

pith:JZBZHZBZ

pith:2009:JZBZHZBZAYCQ3Y4BQ6AJC4K2TX

not attested not anchored not stored refs pending

Density and Equidistribution of One-Sided Horocycles of a Geometrically Finite Hyperbolic Surface

Barbara Schapira (LAMFA)

arxiv:0909.3929 v1 · 2009-09-22 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JZBZHZBZAYCQ3Y4BQ6AJC4K2TX}

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	2026-05-18T02:58:02.738973Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4e4393e43906050de381878091715a9dd6a4e1ea229787c87ece6d8203d46dd9

Aliases

arxiv: 0909.3929 · arxiv_version: 0909.3929v1 · doi: 10.48550/arxiv.0909.3929 · pith_short_12: JZBZHZBZAYCQ · pith_short_16: JZBZHZBZAYCQ3Y4B · pith_short_8: JZBZHZBZ

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/JZBZHZBZAYCQ3Y4BQ6AJC4K2TX \
  | 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: 4e4393e43906050de381878091715a9dd6a4e1ea229787c87ece6d8203d46dd9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a80ee54a035dd7d887e745f769a0d330de4765d5d643e260f7b01b44a82e1c03",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2009-09-22T08:31:05Z",
    "title_canon_sha256": "7142ce8b6b59c12e66a80dd14f83c2c2a94387c88971e5aee2e0584090a84d1c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0909.3929",
    "kind": "arxiv",
    "version": 1
  }
}