pith. sign in
Pith Number

pith:LR3YMEI3

pith:2014:LR3YMEI3Z5Y65RB7CKTYRWWU4L
not attested not anchored not stored refs pending

The optimal decay estimates on the framework of Besov spaces for generally dissipative systems

Jiang Xu, Shuichi Kawashima

arxiv:1402.4685 v1 · 2014-02-19 · math.AP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{LR3YMEI3Z5Y65RB7CKTYRWWU4L}

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 2026-05-18T02:23:27.283278Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

5c7786111bcf71eec43f12a788dad4e2fc3489b5fc8cd4250d45f6e21afbda08

Aliases

arxiv: 1402.4685 · arxiv_version: 1402.4685v1 · doi: 10.48550/arxiv.1402.4685 · pith_short_12: LR3YMEI3Z5Y6 · pith_short_16: LR3YMEI3Z5Y65RB7 · pith_short_8: LR3YMEI3
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/LR3YMEI3Z5Y65RB7CKTYRWWU4L \
  | 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: 5c7786111bcf71eec43f12a788dad4e2fc3489b5fc8cd4250d45f6e21afbda08
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "e2d3c7100533749deeff68a47107e15911589c32ed8afb74d152521f9e426334",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-02-19T15:05:59Z",
    "title_canon_sha256": "3a506563a3e41dd9751e7aab1008c60c8b8766cff47658c54bdb72e0f08529c5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.4685",
    "kind": "arxiv",
    "version": 1
  }
}