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Pith Number

pith:ZY3MRL6I

pith:2017:ZY3MRL6IEPXXOBN5C26DCMSJ5E
not attested not anchored not stored refs pending

Limit Cycles of Dynamic Systems under Random Perturbations with Rapid Switching and Slow Diffusion: A Multi-Scale Approach

Dang H. Nguyen, George Yin, Nguyen H. Du

arxiv:1707.06179 v1 · 2017-07-19 · math.DS · math.PR

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{ZY3MRL6IEPXXOBN5C26DCMSJ5E}

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 2026-05-18T00:39:57.351950Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

ce36c8afc823ef7705bd16bc313249e93cadfe2784a0cf9a863dd4668817c6e8

Aliases

arxiv: 1707.06179 · arxiv_version: 1707.06179v1 · doi: 10.48550/arxiv.1707.06179 · pith_short_12: ZY3MRL6IEPXX · pith_short_16: ZY3MRL6IEPXXOBN5 · pith_short_8: ZY3MRL6I
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/ZY3MRL6IEPXXOBN5C26DCMSJ5E \
  | 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: ce36c8afc823ef7705bd16bc313249e93cadfe2784a0cf9a863dd4668817c6e8
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "895b833cc3a8b6acf8c069c711f14254b92d2adb0afb0dce82eafd0a4dc6cc3b",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2017-07-19T16:08:19Z",
    "title_canon_sha256": "1e840eb51b2720955b59c7b1f94de1b2f07033b0fe4617dbd69ba884600dac34"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.06179",
    "kind": "arxiv",
    "version": 1
  }
}