Pith Number

pith:GABILSKQ

pith:2026:GABILSKQTJNHKCHFISJXA2BICQ

not attested not anchored not stored refs pending

Quantitative exponential mixing for the randomized Chirikov standard map

Yankai Shi, Ziyu Liu

arxiv:2605.20702 v1 · 2026-05-20 · math.PR · 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{GABILSKQTJNHKCHFISJXA2BICQ}

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	2026-05-21T01:04:49.934781Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

300285c9509a5a7508e54493706828141af87b19093bed7bd59386e0c8cd55f3

Aliases

arxiv: 2605.20702 · arxiv_version: 2605.20702v1 · doi: 10.48550/arxiv.2605.20702 · pith_short_12: GABILSKQTJNH · pith_short_16: GABILSKQTJNHKCHF · pith_short_8: GABILSKQ

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/GABILSKQTJNHKCHFISJXA2BICQ \
  | 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: 300285c9509a5a7508e54493706828141af87b19093bed7bd59386e0c8cd55f3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "523954132d9cb16d81a7a1682323b61187c67d96c6607dd276ffd8c3b0df33f2",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2026-05-20T04:58:21Z",
    "title_canon_sha256": "509b99a5bf211b37d7ff5dd278933f4eeb0a78734a8168b65f6858f231e4b5ec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.20702",
    "kind": "arxiv",
    "version": 1
  }
}