Pith Number

pith:JGGTAQCT

pith:2018:JGGTAQCTZYZ53ONI54HNKK673F

not attested not anchored not stored refs pending

Unique ergodicity of the horocycle flow on Riemannnian foliations

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

arxiv:1810.04541 v1 · 2018-10-10 · 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{JGGTAQCTZYZ53ONI54HNKK673F}

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	2026-05-18T00:03:39.782935Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

498d304053ce33ddb9a8ef0ed52bdfd9629f8f9e0c95cfd687deab8b5fbcdcfb

Aliases

arxiv: 1810.04541 · arxiv_version: 1810.04541v1 · doi: 10.48550/arxiv.1810.04541 · pith_short_12: JGGTAQCTZYZ5 · pith_short_16: JGGTAQCTZYZ53ONI · pith_short_8: JGGTAQCT

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/JGGTAQCTZYZ53ONI54HNKK673F \
  | 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: 498d304053ce33ddb9a8ef0ed52bdfd9629f8f9e0c95cfd687deab8b5fbcdcfb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ffe6b03ac28a4c2d877b7d93f8f49d4c73814274348ca93206dbbbcc6e797df8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2018-10-10T14:09:35Z",
    "title_canon_sha256": "fd0bdbdf0730de0d742ffadff7876df8164cdab8ef86494b6420d5c0b784870c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.04541",
    "kind": "arxiv",
    "version": 1
  }
}