Pith Number

pith:FM4QZV6W

pith:2011:FM4QZV6W76QNLZFQVBI62LC3CC

not attested not anchored not stored refs pending

Entropy for hyperbolic Riemann surface laminations II

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

arxiv:1109.4489 v1 · 2011-09-21 · 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{FM4QZV6W76QNLZFQVBI62LC3CC}

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	2026-05-18T04:12:34.617678Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b390cd7d6ffa0d5e4b0a851ed2c5b109361246d6779d84cabd610a4766e9b86

Aliases

arxiv: 1109.4489 · arxiv_version: 1109.4489v1 · doi: 10.48550/arxiv.1109.4489 · pith_short_12: FM4QZV6W76QN · pith_short_16: FM4QZV6W76QNLZFQ · pith_short_8: FM4QZV6W

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/FM4QZV6W76QNLZFQVBI62LC3CC \
  | 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: 2b390cd7d6ffa0d5e4b0a851ed2c5b109361246d6779d84cabd610a4766e9b86

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4e31deaa44cac7f0e5fd2d1a479fac555b2c10dbadf749da3262a70694751c2a",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2011-09-21T08:25:02Z",
    "title_canon_sha256": "eb420eb6fd218b74f0591a589f054c7d793e96d9ae9f6384da1df984c004edde"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.4489",
    "kind": "arxiv",
    "version": 1
  }
}