Pith Number

pith:7GDEP3XM

pith:2011:7GDEP3XMXGBZJJHGEBPJ7CCULY

not attested not anchored not stored refs pending

Entropy for hyperbolic Riemann surface laminations I

Nessim Sibony, Tien-Cuong Dinh, Viet-Anh Nguyen

arxiv:1105.2307 v2 · 2011-05-11 · math.DS · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7GDEP3XMXGBZJJHGEBPJ7CCULY}

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	2026-05-18T04:16:20.512700Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f98647eeecb98394a4e6205e9f88545e1fdfd7d9e103a0eb479b72d2425124be

Aliases

arxiv: 1105.2307 · arxiv_version: 1105.2307v2 · doi: 10.48550/arxiv.1105.2307 · pith_short_12: 7GDEP3XMXGBZ · pith_short_16: 7GDEP3XMXGBZJJHG · pith_short_8: 7GDEP3XM

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/7GDEP3XMXGBZJJHGEBPJ7CCULY \
  | 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: f98647eeecb98394a4e6205e9f88545e1fdfd7d9e103a0eb479b72d2425124be

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "50d83b4bb07b01ce2646b5ace60bdca95deced4a3b71eb4f24aae23550a81180",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2011-05-11T20:21:40Z",
    "title_canon_sha256": "faa6c2649a4be93cdf983cb3bd957fde712a2e598ab1a6232b82fce58f12dcda"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.2307",
    "kind": "arxiv",
    "version": 2
  }
}