Pith. sign in
Pith Number

pith:GQUTEOIQ

pith:2018:GQUTEOIQKKCNKECSE7YGF5AY24
not attested not anchored not stored refs pending

Augmented Variational Superposed Gaussian Approximation for Langevin Equations with Rational Polynomial Functions

Xingyan Chu, Yoshihiko Hasegawa

arxiv:1812.06620 v1 · 2018-12-17 · cond-mat.stat-mech · physics.bio-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{GQUTEOIQKKCNKECSE7YGF5AY24}

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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 2026-07-05T00:08:53.973780Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

34293239105284d5105227f062f418d72d07e44b5f3183b6fb8008b4f6c28248

Aliases

arxiv: 1812.06620 · arxiv_version: 1812.06620v1 · doi: 10.48550/arxiv.1812.06620 · pith_short_12: GQUTEOIQKKCN · pith_short_16: GQUTEOIQKKCNKECS · pith_short_8: GQUTEOIQ
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/GQUTEOIQKKCNKECSE7YGF5AY24 \
  | 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: 34293239105284d5105227f062f418d72d07e44b5f3183b6fb8008b4f6c28248
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "542f31533aff66f6507fb7b1aaf77d7faaf570cf2672a70da3d63bdfccc27459",
    "cross_cats_sorted": [
      "physics.bio-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2018-12-17T05:45:23Z",
    "title_canon_sha256": "3a63ae84bf73784a4362d60c8f0d2f40285e9c5a6b375471c3a439bfd3f5cee6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.06620",
    "kind": "arxiv",
    "version": 1
  }
}