pith. sign in
Pith Number

pith:IQV2MYHL

pith:2017:IQV2MYHLZICSMQET5GOAP37JBF
not attested not anchored not stored refs pending

The Existence of Periodic Solutions for Nonlinear Beam Equations on $\mathbb T^d$ by a Para-differential Method

Bochao Chen, Yixian Gao, Yong Li

arxiv:1711.08069 v1 · 2017-11-21 · math.DS

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{IQV2MYHLZICSMQET5GOAP37JBF}

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 2026-05-18T00:16:30.244480Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

442ba660ebca05264093e99c07efe9097394f91362a8d645a7c8a995ff386009

Aliases

arxiv: 1711.08069 · arxiv_version: 1711.08069v1 · doi: 10.48550/arxiv.1711.08069 · pith_short_12: IQV2MYHLZICS · pith_short_16: IQV2MYHLZICSMQET · pith_short_8: IQV2MYHL
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/IQV2MYHLZICSMQET5GOAP37JBF \
  | 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: 442ba660ebca05264093e99c07efe9097394f91362a8d645a7c8a995ff386009
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "6a93a20cc39223f877a368f6ff8c86c9381522c6e085cf74cc6089cd4b64ba64",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2017-11-21T22:10:17Z",
    "title_canon_sha256": "51d5db3541189c1d0106e20e2fed51525db0a53cc595ddd8a514267f299cbbba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.08069",
    "kind": "arxiv",
    "version": 1
  }
}