Pith Number

pith:JNZYTXZL

pith:2012:JNZYTXZLVFFPMQKFJCKZP7QO3L

not attested not anchored not stored refs pending

Stable sets and mean Li-Yorke chaos in positive entropy systems

Jian Li, Wen Huang, Xiangdong Ye

arxiv:1211.6836 v3 · 2012-11-29 · 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{JNZYTXZLVFFPMQKFJCKZP7QO3L}

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	2026-05-18T02:59:06.386795Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4b7389df2ba94af64145489597fe0edac42b809c60fa31db36b44635b43f0dba

Aliases

arxiv: 1211.6836 · arxiv_version: 1211.6836v3 · doi: 10.48550/arxiv.1211.6836 · pith_short_12: JNZYTXZLVFFP · pith_short_16: JNZYTXZLVFFPMQKF · pith_short_8: JNZYTXZL

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/JNZYTXZLVFFPMQKFJCKZP7QO3L \
  | 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: 4b7389df2ba94af64145489597fe0edac42b809c60fa31db36b44635b43f0dba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e21ddb0118d7f9bc7983a1ac41ecec58b5319b2e87283d835eae0fd708920ad6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-11-29T08:06:07Z",
    "title_canon_sha256": "621bf9c9d928c5378524b906a849ce029e5af98b9338648415a5c4d9f7eacba0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.6836",
    "kind": "arxiv",
    "version": 3
  }
}