Pith Number

pith:HNBMNE4T

pith:2018:HNBMNE4TZ3AM3X73QIIMITRWFD

not attested not anchored not stored refs pending

Ergodicity of partially hyperbolic diffeomorphisms in hyperbolic 3-manifolds

Rafael Potrie, Sergio Fenley

arxiv:1809.02284 v3 · 2018-09-07 · math.DS · math.GT

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HNBMNE4TZ3AM3X73QIIMITRWFD}

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.

Cited by

1 paper in Pith

Ergodicity and partial hyperbolicity on Seifert manifolds

Receipt and verification

First computed	2026-07-05T04:01:53.833890Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3b42c69393cec0cddffb8210c44e3628dfd8d24a197cc1e4e769b54a2bd34a5a

Aliases

arxiv: 1809.02284 · arxiv_version: 1809.02284v3 · doi: 10.48550/arxiv.1809.02284 · pith_short_12: HNBMNE4TZ3AM · pith_short_16: HNBMNE4TZ3AM3X73 · pith_short_8: HNBMNE4T

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/HNBMNE4TZ3AM3X73QIIMITRWFD \
  | 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: 3b42c69393cec0cddffb8210c44e3628dfd8d24a197cc1e4e769b54a2bd34a5a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "01f030331f9d83b6192177993ce1f088d99fcfa1ce06995226b7f0ca96dffd1e",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2018-09-07T02:52:45Z",
    "title_canon_sha256": "e4e5d3d1a3a9ff2cee2b5d104bec285291fc4d388dfcfa56f0556b34fd1264a9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.02284",
    "kind": "arxiv",
    "version": 3
  }
}