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Pith Number

pith:JIEXUIR5

pith:2012:JIEXUIR5D3BQV4DDPPEIH57G23
not attested not anchored not stored refs pending

Maximum Decay Rate for Finite-Energy Solutions of Nonlinear Schr\"odinger Equations

LJLL), Pascal B\'egout (IMT

arxiv:1207.2031 v2 · 2012-07-09 · math.AP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{JIEXUIR5D3BQV4DDPPEIH57G23}

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 2026-05-18T03:51:15.399284Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

4a097a223d1ec30af0637bc883f7e6d6dc43e1cad245826c84fe46b33a7de237

Aliases

arxiv: 1207.2031 · arxiv_version: 1207.2031v2 · doi: 10.48550/arxiv.1207.2031 · pith_short_12: JIEXUIR5D3BQ · pith_short_16: JIEXUIR5D3BQV4DD · pith_short_8: JIEXUIR5
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/JIEXUIR5D3BQV4DDPPEIH57G23 \
  | 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: 4a097a223d1ec30af0637bc883f7e6d6dc43e1cad245826c84fe46b33a7de237
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "9011fbb2a2c3c51d8220455582c56963c2ddac6640352a6db35a64b5e7478ebc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-07-09T13:10:46Z",
    "title_canon_sha256": "0c316d8a8c014a676592ac6adcb1231152475fe9fb627f0c8d89d16bd5b784b4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.2031",
    "kind": "arxiv",
    "version": 2
  }
}