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Pith Number

pith:5W2GNUXW

pith:2014:5W2GNUXWXMLD56XSL7S2NJ4F3N
not attested not anchored not stored refs pending

Variational superposed Gaussian approximation for time-dependent solutions of Langevin equations

Yoshihiko Hasegawa

arxiv:1411.3076 v3 · 2014-11-12 · cond-mat.stat-mech

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{5W2GNUXWXMLD56XSL7S2NJ4F3N}

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 2026-05-18T02:04:08.339194Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

edb466d2f6bb163efaf25fe5a6a785db7518e7e4a1a8e73573c70565f3859708

Aliases

arxiv: 1411.3076 · arxiv_version: 1411.3076v3 · doi: 10.48550/arxiv.1411.3076 · pith_short_12: 5W2GNUXWXMLD · pith_short_16: 5W2GNUXWXMLD56XS · pith_short_8: 5W2GNUXW
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/5W2GNUXWXMLD56XSL7S2NJ4F3N \
  | 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: edb466d2f6bb163efaf25fe5a6a785db7518e7e4a1a8e73573c70565f3859708
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "667c76c755662f5b07586af500d61a22847fcfc5d1b68697ee054bf97cae2105",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2014-11-12T05:38:07Z",
    "title_canon_sha256": "7614a515cc611971b18ba9d9a52f705e7372b5bb41cf1997cb20c8af8aef2342"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.3076",
    "kind": "arxiv",
    "version": 3
  }
}