Pith Number

pith:76ZNGRJV

pith:2024:76ZNGRJVDU56RM3NIY22VXSYFE

not attested not anchored not stored refs pending

Quantitative Estimates on Invariant Manifolds for Surface Diffeomorphisms

Enrique Pujals, Jonguk Yang, Mikhail Lyubich, Sylvain Crovisier

arxiv:2411.13286 v1 · 2024-11-20 · 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{76ZNGRJVDU56RM3NIY22VXSYFE}

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	2026-07-05T09:38:07.971757Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ffb2d345351d3be8b36d4635aade58293cbbd462eadfc056b80ca2e68a2cf747

Aliases

arxiv: 2411.13286 · arxiv_version: 2411.13286v1 · doi: 10.48550/arxiv.2411.13286 · pith_short_12: 76ZNGRJVDU56 · pith_short_16: 76ZNGRJVDU56RM3N · pith_short_8: 76ZNGRJV

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/76ZNGRJVDU56RM3NIY22VXSYFE \
  | 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: ffb2d345351d3be8b36d4635aade58293cbbd462eadfc056b80ca2e68a2cf747

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0f572be36028b02f2a9ca07a9602efc12f24f9c5bf2ed197b1c7ef1eb4493ae4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2024-11-20T12:54:39Z",
    "title_canon_sha256": "1e224c9284daceb72c5df8297640b8a6ae9048922ceef578080af54c00d9e42e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.13286",
    "kind": "arxiv",
    "version": 1
  }
}