Pith Number

pith:PE5SN5UF

pith:2018:PE5SN5UFWH3DQ4Y3HC74TZQVX7

not attested not anchored not stored refs pending

KAM theorem with normal frequencies of finite limit-points for some shallow water equations

Xiaoping Yuan

arxiv:1809.05671 v1 · 2018-09-15 · math.DS

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\usepackage{pith}
\pithnumber{PE5SN5UFWH3DQ4Y3HC74TZQVX7}

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Record completeness

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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.

Cited by

1 paper in Pith

A KAM theorem for the Hamiltonian with finite zero normal frequencies and its applications

Receipt and verification

First computed	2026-05-18T00:05:40.301432Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

793b26f685b1f638731b38bfc9e615bffd3403b53efeef15a00d26e31a125802

Aliases

arxiv: 1809.05671 · arxiv_version: 1809.05671v1 · doi: 10.48550/arxiv.1809.05671 · pith_short_12: PE5SN5UFWH3D · pith_short_16: PE5SN5UFWH3DQ4Y3 · pith_short_8: PE5SN5UF

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/PE5SN5UFWH3DQ4Y3HC74TZQVX7 \
  | 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: 793b26f685b1f638731b38bfc9e615bffd3403b53efeef15a00d26e31a125802

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "be7700e26c6e1d841fc47e281386b8d073b830a7bacb527b676f9147bfbb8199",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2018-09-15T08:27:56Z",
    "title_canon_sha256": "b5a7981ad04e37efa7d7647d95ad3b0bed92b440fbcd3e280d533a1d325f9200"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.05671",
    "kind": "arxiv",
    "version": 1
  }
}