Pith Number

pith:YCF5GWWA

pith:2013:YCF5GWWAGDPYLXPWTW3N4CA4RS

not attested not anchored not stored refs pending

Sharpness for $C^1$ linearization of planar hyperbolic diffeomorphisms

Weinian Zhang, Wenmeng Zhang

arxiv:1305.4122 v1 · 2013-05-17 · 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{YCF5GWWAGDPYLXPWTW3N4CA4RS}

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	2026-05-18T03:25:26.200408Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c08bd35ac030df85ddf69db6de081c8cbad5728a0fd76b68458d3d6a3c8ff0c9

Aliases

arxiv: 1305.4122 · arxiv_version: 1305.4122v1 · doi: 10.48550/arxiv.1305.4122 · pith_short_12: YCF5GWWAGDPY · pith_short_16: YCF5GWWAGDPYLXPW · pith_short_8: YCF5GWWA

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/YCF5GWWAGDPYLXPWTW3N4CA4RS \
  | 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: c08bd35ac030df85ddf69db6de081c8cbad5728a0fd76b68458d3d6a3c8ff0c9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "30998b222e8aba720f1a636c14c58d8fa985a1116a6c3a96a47092f645a04902",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2013-05-17T16:06:32Z",
    "title_canon_sha256": "f7dd9effd13869a7508f2c295afcdd864d2724f8cc2c48c542151e097188e83b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.4122",
    "kind": "arxiv",
    "version": 1
  }
}