Pith Number

pith:QH7QGKYQ

pith:2016:QH7QGKYQHAWBEHHRL6VYXVS7VV

not attested not anchored not stored refs pending

Devaney chaos plus shadowing implies distributional chaos

Jian Li, Jie Li, Siming Tu

arxiv:1609.03168 v1 · 2016-09-11 · 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{QH7QGKYQHAWBEHHRL6VYXVS7VV}

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	2026-05-18T01:00:52.498081Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

81ff032b10382c121cf15fab8bd65fad6cdcde52fc036207c2d6bd9585d75d76

Aliases

arxiv: 1609.03168 · arxiv_version: 1609.03168v1 · doi: 10.48550/arxiv.1609.03168 · pith_short_12: QH7QGKYQHAWB · pith_short_16: QH7QGKYQHAWBEHHR · pith_short_8: QH7QGKYQ

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/QH7QGKYQHAWBEHHRL6VYXVS7VV \
  | 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: 81ff032b10382c121cf15fab8bd65fad6cdcde52fc036207c2d6bd9585d75d76

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a447e925056356d72574a2fccb8cf9fde417960ea2469c3a3a350e34289c2455",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-09-11T15:13:57Z",
    "title_canon_sha256": "eb0486f885ccb86d3c0b20f716c7426e81716de71b78e2b5d0e1f0ee9716f946"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.03168",
    "kind": "arxiv",
    "version": 1
  }
}