Pith Number

pith:CHXT6GYY

pith:2016:CHXT6GYYUENY6MYVN5YZTXHPR4

not attested not anchored not stored refs pending

Lyapunov exponents of partially hyperbolic volume-preserving maps with 2-dimensional center bundle

Chao Liang, Jiagang Yang, Karina Marin

arxiv:1604.05987 v3 · 2016-04-20 · 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{CHXT6GYYUENY6MYVN5YZTXHPR4}

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	2026-05-18T00:24:35.614255Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

11ef3f1b18a11b8f33156f7199dcef8f0f915973a40cd168caedf91a212f7b1b

Aliases

arxiv: 1604.05987 · arxiv_version: 1604.05987v3 · doi: 10.48550/arxiv.1604.05987 · pith_short_12: CHXT6GYYUENY · pith_short_16: CHXT6GYYUENY6MYV · pith_short_8: CHXT6GYY

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/CHXT6GYYUENY6MYVN5YZTXHPR4 \
  | 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: 11ef3f1b18a11b8f33156f7199dcef8f0f915973a40cd168caedf91a212f7b1b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6f1f16f96686dd677bc166676e52e5a5be91955d0435ec2fb1da488c8c66df98",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-04-20T14:52:59Z",
    "title_canon_sha256": "ea6f46f146c01a87299d4e674434c06cd98358170422aa61ceedac46194e8bc0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.05987",
    "kind": "arxiv",
    "version": 3
  }
}