Pith Number

pith:5HUB5AGY

pith:2019:5HUB5AGYT53LAZYNN6HAC6MA2N

not attested not anchored not stored refs pending

The approximation of Lyapunov exponents by horseshoes for $C^1$-diffeomorphisms with dominated splitting

Juan Wang, Rui Zou, Yongluo Cao

arxiv:1901.03013 v1 · 2019-01-10 · 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{5HUB5AGYT53LAZYNN6HAC6MA2N}

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	2026-05-17T23:56:35.802779Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e9e81e80d89f76b0670d6f8e017980d36920ed4187fb96de37b8fe44ca560c40

Aliases

arxiv: 1901.03013 · arxiv_version: 1901.03013v1 · doi: 10.48550/arxiv.1901.03013 · pith_short_12: 5HUB5AGYT53L · pith_short_16: 5HUB5AGYT53LAZYN · pith_short_8: 5HUB5AGY

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/5HUB5AGYT53LAZYNN6HAC6MA2N \
  | 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: e9e81e80d89f76b0670d6f8e017980d36920ed4187fb96de37b8fe44ca560c40

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1db77204ea7b615b58546de77a96717d32c76c021425efe66a5e385bc71329a9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2019-01-10T04:26:53Z",
    "title_canon_sha256": "2c4666c0ce941e5f9d3f49b181ace95dd320a19c95a09ceedc331da41049133b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.03013",
    "kind": "arxiv",
    "version": 1
  }
}