Pith Number

pith:JWI7RA7C

pith:2010:JWI7RA7CTCBZ66XSQ7YQWMEGOU

not attested not anchored not stored refs pending

A lower bound for topological entropy of generic non Anosov symplectic diffeomorphisms

Ali Tahzibi, Thiago Catalan

arxiv:1011.2441 v1 · 2010-11-10 · 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{JWI7RA7CTCBZ66XSQ7YQWMEGOU}

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	2026-05-17T23:53:36.822649Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4d91f883e298839f7af287f10b308675390709fddce4296b955bcb60a9da267c

Aliases

arxiv: 1011.2441 · arxiv_version: 1011.2441v1 · doi: 10.48550/arxiv.1011.2441 · pith_short_12: JWI7RA7CTCBZ · pith_short_16: JWI7RA7CTCBZ66XS · pith_short_8: JWI7RA7C

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/JWI7RA7CTCBZ66XSQ7YQWMEGOU \
  | 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: 4d91f883e298839f7af287f10b308675390709fddce4296b955bcb60a9da267c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "11c7e7c7ad741bc00a95bdc8380b54c539dfefaf0dee397570297c1334cd8e32",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2010-11-10T17:31:57Z",
    "title_canon_sha256": "c9cec5e2c28201e7a20dbe55a776507f4047c7bea1c4d004a8a36a7758e1380f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.2441",
    "kind": "arxiv",
    "version": 1
  }
}