pith. sign in
Pith Number

pith:QJPP2QJ7

pith:2015:QJPP2QJ7RKKCWEGYX7O52M7S2Q
not attested not anchored not stored refs pending

A solution decomposition for a singularly perturbed fourth-order problem

Katharina H\"ohne, Marcus Waurick, Sebastian Franz

arxiv:1511.05378 v1 · 2015-11-17 · math.AP · math.FA

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{QJPP2QJ7RKKCWEGYX7O52M7S2Q}

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 2026-05-18T01:26:40.416555Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

825efd413f8a942b10d8bfdddd33f2d427242a577df52b3481ecd379fd5bd60b

Aliases

arxiv: 1511.05378 · arxiv_version: 1511.05378v1 · doi: 10.48550/arxiv.1511.05378 · pith_short_12: QJPP2QJ7RKKC · pith_short_16: QJPP2QJ7RKKCWEGY · pith_short_8: QJPP2QJ7
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/QJPP2QJ7RKKCWEGYX7O52M7S2Q \
  | 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: 825efd413f8a942b10d8bfdddd33f2d427242a577df52b3481ecd379fd5bd60b
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "6a230bd29ee84100954ec6548061550f16861bc7e95783f15e4f3d8e74d6c0d6",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-11-17T12:36:32Z",
    "title_canon_sha256": "2cc8a3b88801128c14716e134e2ce89953996d5db660b9ad2ce825e4f2242803"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.05378",
    "kind": "arxiv",
    "version": 1
  }
}