Pith Number

pith:KROA7HOP

pith:2014:KROA7HOPXSIF5EIZYZQ2IORRKC

not attested not anchored not stored refs pending

Minimality of the horocycle flow on laminations by hyperbolic surfaces with non-trivial topology

Alberto Verjovsky, Fernando Alcalde, Fran\c{c}oise Dal'Bo, Matilde Mart\'inez

arxiv:1412.3259 v3 · 2014-12-10 · 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{KROA7HOPXSIF5EIZYZQ2IORRKC}

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	2026-05-18T01:08:29.191694Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

545c0f9dcfbc905e9119c661a43a3150bda458045526ed33aefd07889d758e05

Aliases

arxiv: 1412.3259 · arxiv_version: 1412.3259v3 · doi: 10.48550/arxiv.1412.3259 · pith_short_12: KROA7HOPXSIF · pith_short_16: KROA7HOPXSIF5EIZ · pith_short_8: KROA7HOP

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/KROA7HOPXSIF5EIZYZQ2IORRKC \
  | 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: 545c0f9dcfbc905e9119c661a43a3150bda458045526ed33aefd07889d758e05

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aa3d225154520c3b02dc4dffe3fcc11d9fd14fe92a4f4800c421fa760e4a06f6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2014-12-10T11:12:37Z",
    "title_canon_sha256": "31daec7984f8744b760a6e591d7a023408523c683adadc80fe014ea0933c7b0f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.3259",
    "kind": "arxiv",
    "version": 3
  }
}