Pith Number

pith:5LUCDXX3

pith:2017:5LUCDXX3ECNWIY35RUPYK5E57K

not attested not anchored not stored refs pending

Formula of Entropy along Unstable Foliations for $C^1$ Diffeomorphisms with Dominated Splitting

Lin Wang, Xinsheng Wang, Yujun Zhu

arxiv:1711.02851 v1 · 2017-11-08 · 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{5LUCDXX3ECNWIY35RUPYK5E57K}

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	2026-05-18T00:31:01.530604Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eae821defb209b64637d8d1f85749dfa87d2974fe12b0c726c4fb874af07060b

Aliases

arxiv: 1711.02851 · arxiv_version: 1711.02851v1 · doi: 10.48550/arxiv.1711.02851 · pith_short_12: 5LUCDXX3ECNW · pith_short_16: 5LUCDXX3ECNWIY35 · pith_short_8: 5LUCDXX3

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/5LUCDXX3ECNWIY35RUPYK5E57K \
  | 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: eae821defb209b64637d8d1f85749dfa87d2974fe12b0c726c4fb874af07060b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "de0c9b2c72fd85b3ca637836a26227fc6427cfb55c41409d97cc1c50226b8233",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2017-11-08T07:16:42Z",
    "title_canon_sha256": "99f6c4ee39cb02272660a50a641a2e128fe5ae0325bf3d9f0e1170017bac799e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.02851",
    "kind": "arxiv",
    "version": 1
  }
}