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Pith Number

pith:HPKDRVSE

pith:2013:HPKDRVSE6W5KHTDDL2NZJMUNQM
not attested not anchored not stored refs pending

Weakly coupled two slow- two fast systems, folded node and mixed mode oscillationsM

B. Ambrosio, M.A. Aziz-Alaoui, M. Krupa

arxiv:1302.1800 v2 · 2013-02-07 · math.DS

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{HPKDRVSE6W5KHTDDL2NZJMUNQM}

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 2026-05-18T01:51:43.825874Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

3bd438d644f5baa3cc635e9b94b28d832fbd7eae0abf22e8671a765ce9c2f8a0

Aliases

arxiv: 1302.1800 · arxiv_version: 1302.1800v2 · doi: 10.48550/arxiv.1302.1800 · pith_short_12: HPKDRVSE6W5K · pith_short_16: HPKDRVSE6W5KHTDD · pith_short_8: HPKDRVSE
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/HPKDRVSE6W5KHTDDL2NZJMUNQM \
  | 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: 3bd438d644f5baa3cc635e9b94b28d832fbd7eae0abf22e8671a765ce9c2f8a0
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "dd37d7c5d7f870ceaff700640f59232495b130f52f24be39619ce6bebfe4c740",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2013-02-07T16:49:54Z",
    "title_canon_sha256": "d7fa142806fafa34b904a2ad853d7b80916ad948a7c9f9d9d285fc5ea0a95704"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.1800",
    "kind": "arxiv",
    "version": 2
  }
}