Pith Number

pith:WMP73HIJ

pith:2019:WMP73HIJS5N67OMS4BFB3AJFX7

not attested not anchored not stored refs pending

Lyapunov exponents of hyperbolic measures and hyperbolic periodic orbits

Wenxiang Sun, Zhenqi Jenny Wang

arxiv:1908.09181 v5 · 2019-08-24 · math.DS

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WMP73HIJS5N67OMS4BFB3AJFX7}

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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

Lyapunov exponents of hyperbolic measures and hyperbolic periodic orbits

Receipt and verification

First computed	2026-07-05T00:59:33.841064Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b31ffd9d09975befb992e04a1d8125bfe1e4c89ed5c555cd459676b032eeadc6

Aliases

arxiv: 1908.09181 · arxiv_version: 1908.09181v5 · doi: 10.48550/arxiv.1908.09181 · pith_short_12: WMP73HIJS5N6 · pith_short_16: WMP73HIJS5N67OMS · pith_short_8: WMP73HIJ

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/WMP73HIJS5N67OMS4BFB3AJFX7 \
  | 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: b31ffd9d09975befb992e04a1d8125bfe1e4c89ed5c555cd459676b032eeadc6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c3dababaf06fe2099211591a927fe6896a42243f8ad7d2fadaa01001689b6838",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2019-08-24T18:22:39Z",
    "title_canon_sha256": "613ca68a4cbb26e218ddc5c20b9ec07cb111885124452ef249315551cbdb8901"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.09181",
    "kind": "arxiv",
    "version": 5
  }
}