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Pith Number

pith:ILTP5SON

pith:2014:ILTP5SONCIRIW3UDB65S3VIYNT
not attested not anchored not stored refs pending

Exponential Relaxation to Equilibrium for a One-Dimensional Focusing Non-Linear Schr\"odinger Equation with Noise

Eric A. Carlen, Joel Lebowitz, Juerg Froehlich

arxiv:1409.2327 v1 · 2014-09-08 · math-ph · math.MP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{ILTP5SONCIRIW3UDB65S3VIYNT}

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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 2026-05-18T02:43:17.365962Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

42e6fec9cd12228b6e830fbb2dd5186cd0e7393b8ce4720df9b605e3e20e2f4f

Aliases

arxiv: 1409.2327 · arxiv_version: 1409.2327v1 · doi: 10.48550/arxiv.1409.2327 · pith_short_12: ILTP5SONCIRI · pith_short_16: ILTP5SONCIRIW3UD · pith_short_8: ILTP5SON
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/ILTP5SONCIRIW3UDB65S3VIYNT \
  | 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: 42e6fec9cd12228b6e830fbb2dd5186cd0e7393b8ce4720df9b605e3e20e2f4f
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "d220cebffa9dabf521f233819dd4642db3cf1fecceb40032f5605dba9b4cde28",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2014-09-08T12:57:31Z",
    "title_canon_sha256": "b05adf09b1e61c705b716761be041ab0a72baef1e5b2ac4312efc2a9cb3cc771"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.2327",
    "kind": "arxiv",
    "version": 1
  }
}