pith. sign in
Pith Number

pith:WXIPYKVL

pith:2016:WXIPYKVLXOO4RY4QWDBSJRPI44
not attested not anchored not stored refs pending

KAM for the nonlinear beam equation

Beno\^it Gr\'ebert, L. Hakan Eliasson, Sergei B. Kuksin

arxiv:1604.01657 v1 · 2016-04-06 · math.AP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{WXIPYKVLXOO4RY4QWDBSJRPI44}

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 2026-05-18T01:17:35.879670Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

b5d0fc2aabbb9dc8e390b0c324c5e8e71c73c5a5cf9c9cc453a11c0a932e339a

Aliases

arxiv: 1604.01657 · arxiv_version: 1604.01657v1 · doi: 10.48550/arxiv.1604.01657 · pith_short_12: WXIPYKVLXOO4 · pith_short_16: WXIPYKVLXOO4RY4Q · pith_short_8: WXIPYKVL
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/WXIPYKVLXOO4RY4QWDBSJRPI44 \
  | 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: b5d0fc2aabbb9dc8e390b0c324c5e8e71c73c5a5cf9c9cc453a11c0a932e339a
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "adf54269db5e5f1f1679f0664a359e745637e5143c8e85b06fdb1eaa9cdd9bff",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-04-06T15:16:04Z",
    "title_canon_sha256": "79a265b516d4c2789bbf977fc4e5a6a3722ddf1c3532c8925a9e392fe5ccf3e5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.01657",
    "kind": "arxiv",
    "version": 1
  }
}