Pith Number

pith:N3CCWO5Y

pith:2019:N3CCWO5Y3C7TDDFMYQRU44JZXW

not attested not anchored not stored refs pending

Rigidity of center Lyapunov exponents and $su$-integrability

Shaobo Gan, Yi Shi

arxiv:1905.07896 v1 · 2019-05-20 · 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{N3CCWO5Y3C7TDDFMYQRU44JZXW}

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	2026-05-17T23:45:48.203795Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6ec42b3bb8d8bf318cacc4234e7139bda2ef8df523454f482d39db6397f6dee9

Aliases

arxiv: 1905.07896 · arxiv_version: 1905.07896v1 · doi: 10.48550/arxiv.1905.07896 · pith_short_12: N3CCWO5Y3C7T · pith_short_16: N3CCWO5Y3C7TDDFM · pith_short_8: N3CCWO5Y

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/N3CCWO5Y3C7TDDFMYQRU44JZXW \
  | 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: 6ec42b3bb8d8bf318cacc4234e7139bda2ef8df523454f482d39db6397f6dee9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e7fefe835a415d90edda61053724387d3825c6c88d3fe7b223813c8efceab628",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2019-05-20T06:20:08Z",
    "title_canon_sha256": "5de71ac15174d75fd22b1727d1ffb469e94f137d7ea5a9485e242d8ff7827981"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.07896",
    "kind": "arxiv",
    "version": 1
  }
}