Pith Number

pith:GP777UQR

pith:2015:GP777UQRWQBM6LJQF4NB4YMK62

not attested not anchored not stored refs pending

Positive topological entropy and $\Delta$-weakly mixing sets

Jian Li, Wen Huang, Xiangdong Ye, Xiaoyao Zhou

arxiv:1504.07520 v1 · 2015-04-28 · 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{GP777UQRWQBM6LJQF4NB4YMK62}

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	2026-05-18T01:00:10.300514Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

33ffffd211b402cf2d302f1a1e618af688545e22c4a373e8875914e90531f5ab

Aliases

arxiv: 1504.07520 · arxiv_version: 1504.07520v1 · doi: 10.48550/arxiv.1504.07520 · pith_short_12: GP777UQRWQBM · pith_short_16: GP777UQRWQBM6LJQ · pith_short_8: GP777UQR

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/GP777UQRWQBM6LJQF4NB4YMK62 \
  | 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: 33ffffd211b402cf2d302f1a1e618af688545e22c4a373e8875914e90531f5ab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aea1d4cb3d54bce0924d511c12c241e37a61e2fb1536849818b8251474582481",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-04-28T15:09:57Z",
    "title_canon_sha256": "1de2f2d9d50a0656a00b323d2364b9f3dbd31d4a4238caf34d874efde0eb955d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.07520",
    "kind": "arxiv",
    "version": 1
  }
}