Pith Number

pith:3JFQ4D2O

pith:2025:3JFQ4D2OJIBUA3LPXZYD7JS2UD

not attested not anchored not stored refs pending

On fast Lyapunov spectra for Markov-R\'{e}nyi maps

Carlos Gustavo Moreira, Lulu Fang, Yiwei Zhang, Zhichao Wang

arxiv:2506.16291 v1 · 2025-06-19 · 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{3JFQ4D2OJIBUA3LPXZYD7JS2UD}

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	2026-07-05T11:24:34.008260Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

da4b0e0f4e4a03406d6fbe703fa65aa0f864a2345275b6711451be377f2e0b5c

Aliases

arxiv: 2506.16291 · arxiv_version: 2506.16291v1 · doi: 10.48550/arxiv.2506.16291 · pith_short_12: 3JFQ4D2OJIBU · pith_short_16: 3JFQ4D2OJIBUA3LP · pith_short_8: 3JFQ4D2O

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/3JFQ4D2OJIBUA3LPXZYD7JS2UD \
  | 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: da4b0e0f4e4a03406d6fbe703fa65aa0f864a2345275b6711451be377f2e0b5c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3438da9bd4556d72631a40b20f4e919910da96e7f19604fd4e0e1398cfffce4e",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2025-06-19T13:06:38Z",
    "title_canon_sha256": "d6bf639d622e8a6989a435aab621c05625353df48b89d6b7d02670f522939fb9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.16291",
    "kind": "arxiv",
    "version": 1
  }
}