Pith Number

pith:3VXNDUQC

pith:2010:3VXNDUQCJN4KRVS5B2ALFUTO6N

not attested not anchored not stored refs pending

Some results on perturbations to Lyapunov exponents

Chao Liang, Jiagang Yang, Wenxiang Sun

arxiv:1011.5299 v1 · 2010-11-24 · 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{3VXNDUQCJN4KRVS5B2ALFUTO6N}

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	2026-05-18T04:34:47.606068Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd6ed1d2024b78a8d65d0e80b2d26ef3492b36fc65eff9cf6720407d040c2820

Aliases

arxiv: 1011.5299 · arxiv_version: 1011.5299v1 · doi: 10.48550/arxiv.1011.5299 · pith_short_12: 3VXNDUQCJN4K · pith_short_16: 3VXNDUQCJN4KRVS5 · pith_short_8: 3VXNDUQC

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/3VXNDUQCJN4KRVS5B2ALFUTO6N \
  | 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: dd6ed1d2024b78a8d65d0e80b2d26ef3492b36fc65eff9cf6720407d040c2820

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "20614679c46725f8dc51efc20657c5bf30e01f811ea4022130591736f0678524",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2010-11-24T05:17:44Z",
    "title_canon_sha256": "d48434f5bea80d828edc2561a3034dbc99e34f9b2886a20988dea119820186dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.5299",
    "kind": "arxiv",
    "version": 1
  }
}