pith. sign in
Pith Number

pith:MUE6VZIL

pith:2017:MUE6VZIL3OFJQORVKXZHDO74DJ
not attested not anchored not stored refs pending

${L^p}$-theory for Schr\"odinger systems

Abdallah Maichine, Abdelaziz Rhandi, Luca Lorenzi, Markus Kunze

arxiv:1705.03333 v1 · 2017-05-09 · math.AP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{MUE6VZIL3OFJQORVKXZHDO74DJ}

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 2026-05-18T00:44:48.226604Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

6509eae50bdb8a983a3555f271bbfc1a787de793f5ed5f9aee326e87669cb935

Aliases

arxiv: 1705.03333 · arxiv_version: 1705.03333v1 · doi: 10.48550/arxiv.1705.03333 · pith_short_12: MUE6VZIL3OFJ · pith_short_16: MUE6VZIL3OFJQORV · pith_short_8: MUE6VZIL
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/MUE6VZIL3OFJQORVKXZHDO74DJ \
  | 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: 6509eae50bdb8a983a3555f271bbfc1a787de793f5ed5f9aee326e87669cb935
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "52bc527d6243e590c0547e80722f1be61c436d8880501de9f11fda780838991f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-05-09T13:50:58Z",
    "title_canon_sha256": "5f47c77d31e7756dcf4fb78a91cf8bb1d46bd8eccd6a6090024283219cdbc0af"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.03333",
    "kind": "arxiv",
    "version": 1
  }
}