Pith Number

pith:E5357CZS

pith:2018:E5357CZSM5TZY3OZYLSYRWF74B

not attested not anchored not stored refs pending

$C^1$-openness of non-uniform hyperbolic diffeomorphisms with bounded $C^2$ norm

Chao Liang, Jiagang Yang, Karina Marin

arxiv:1808.04003 v2 · 2018-08-12 · 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{E5357CZSM5TZY3OZYLSYRWF74B}

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	2026-07-05T00:16:02.348426Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2777df8b3267679c6dd9c2e588d8bfe0517b22f17fd7fc32a15ef27bee9f8c1c

Aliases

arxiv: 1808.04003 · arxiv_version: 1808.04003v2 · doi: 10.48550/arxiv.1808.04003 · pith_short_12: E5357CZSM5TZ · pith_short_16: E5357CZSM5TZY3OZ · pith_short_8: E5357CZS

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/E5357CZSM5TZY3OZYLSYRWF74B \
  | 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: 2777df8b3267679c6dd9c2e588d8bfe0517b22f17fd7fc32a15ef27bee9f8c1c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1e2d6a9e9aced57a4c2eda9547cc622414ee83d27c36492a94e918a7ce1cba3d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2018-08-12T20:48:36Z",
    "title_canon_sha256": "0628dcb729c959d75654f7edca1e8d3787e4461c2e91f24c510030d0e69a2199"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.04003",
    "kind": "arxiv",
    "version": 2
  }
}