Pith Number

pith:XJB6YE5K

pith:2018:XJB6YE5K5BD4XYRIEA4C5K63RP

not attested not anchored not stored refs pending

KAM Theorem for a Hamiltonian system with Sublinear Growth Frequencies at Infinity

Xindong Xu

arxiv:1808.05358 v3 · 2018-08-16 · math.DS

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XJB6YE5K5BD4XYRIEA4C5K63RP}

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	2026-05-18T00:02:44.442905Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ba43ec13aae847cbe22820382eabdb8bf01d0b43cf90ca51740b9304402233f4

Aliases

arxiv: 1808.05358 · arxiv_version: 1808.05358v3 · doi: 10.48550/arxiv.1808.05358 · pith_short_12: XJB6YE5K5BD4 · pith_short_16: XJB6YE5K5BD4XYRI · pith_short_8: XJB6YE5K

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/XJB6YE5K5BD4XYRIEA4C5K63RP \
  | 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: ba43ec13aae847cbe22820382eabdb8bf01d0b43cf90ca51740b9304402233f4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "99afb06241eb318d571b3d0e1f1addd21e0f954a99bd53fcd324ca5ed07f0d5b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2018-08-16T06:47:21Z",
    "title_canon_sha256": "f3e07d4768d6b14fd6555fa4efc5a8aee2ba96ac8142b7ca55f26a1814c1ed69"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.05358",
    "kind": "arxiv",
    "version": 3
  }
}