pith. sign in
Pith Number

pith:ONQNH3UW

pith:2010:ONQNH3UWQC2H7WBNGLM7TWXBXB
not attested not anchored not stored refs pending

Landscapes of Non-gradient Dynamics Without Detailed Balance: Stable Limit Cycles and Multiple Attractors

Hao Ge, Hong Qian

arxiv:1011.4049 v2 · 2010-11-17 · math-ph · math.MP · math.PR · nlin.CD

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{ONQNH3UWQC2H7WBNGLM7TWXBXB}

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 2026-05-18T03:53:29.579962Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

7360d3ee9680b47fd82d32d9f9dae1b863ff107be7f14df6b607dc35a9252969

Aliases

arxiv: 1011.4049 · arxiv_version: 1011.4049v2 · doi: 10.48550/arxiv.1011.4049 · pith_short_12: ONQNH3UWQC2H · pith_short_16: ONQNH3UWQC2H7WBN · pith_short_8: ONQNH3UW
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/ONQNH3UWQC2H7WBNGLM7TWXBXB \
  | 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: 7360d3ee9680b47fd82d32d9f9dae1b863ff107be7f14df6b607dc35a9252969
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "d40c35835b323eb1743936b66d442e98c02815cd6ea655ade4a2f4e7cf9bbf5d",
    "cross_cats_sorted": [
      "math.MP",
      "math.PR",
      "nlin.CD"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-11-17T20:39:09Z",
    "title_canon_sha256": "7bad09468c5ddce3bde11111b8575fb17a60dfda4cdfe8a3bcc04f24a88439a3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.4049",
    "kind": "arxiv",
    "version": 2
  }
}