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Pith Number

pith:ALFSXVO6

pith:2016:ALFSXVO6XXCT364HS3D5YDXZOS
not attested not anchored not stored refs pending

Chaos in Piecewise Smooth Vector Fields on Two Dimensional Torus and Sphere

Durval Jos\'e Tonon, Ricardo Miranda Martins

arxiv:1601.05670 v1 · 2016-01-21 · math.DS

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{ALFSXVO6XXCT364HS3D5YDXZOS}

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 2026-05-18T01:22:13.266858Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

02cb2bd5debdc53dfb8796c7dc0ef9748d62b96d1dd3e20900d574f401bda286

Aliases

arxiv: 1601.05670 · arxiv_version: 1601.05670v1 · doi: 10.48550/arxiv.1601.05670 · pith_short_12: ALFSXVO6XXCT · pith_short_16: ALFSXVO6XXCT364H · pith_short_8: ALFSXVO6
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/ALFSXVO6XXCT364HS3D5YDXZOS \
  | 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: 02cb2bd5debdc53dfb8796c7dc0ef9748d62b96d1dd3e20900d574f401bda286
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "b327f152fde8bb8b8113dd53bd950c6d5716f5f8d9272281e8e3bc1fc9987829",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-01-21T15:09:05Z",
    "title_canon_sha256": "b982ccb921898c07324659da11a5914c353d933a744fc59dc72667eb7c5500bb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.05670",
    "kind": "arxiv",
    "version": 1
  }
}