Pith Number

pith:7IJ7UFF6

pith:2012:7IJ7UFF6XVPUYGAWHDWBZYSLUW

not attested not anchored not stored refs pending

Ergodicity of stochastic real Ginzburg-Landau equation driven by $\alpha$-stable noises

Lihu Xu

arxiv:1205.5995 v2 · 2012-05-27 · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7IJ7UFF6XVPUYGAWHDWBZYSLUW}

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	2026-05-18T03:54:16.485668Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fa13fa14bebd5f4c181638ec1ce24ba593a5e4016fc62e818d2abcf7d2d7a0d0

Aliases

arxiv: 1205.5995 · arxiv_version: 1205.5995v2 · doi: 10.48550/arxiv.1205.5995 · pith_short_12: 7IJ7UFF6XVPU · pith_short_16: 7IJ7UFF6XVPUYGAW · pith_short_8: 7IJ7UFF6

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/7IJ7UFF6XVPUYGAWHDWBZYSLUW \
  | 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: fa13fa14bebd5f4c181638ec1ce24ba593a5e4016fc62e818d2abcf7d2d7a0d0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f45fa29b16dc579e55a83a62e109db879cc3f3cee7313b68ada8e2079c696b86",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-05-27T19:52:57Z",
    "title_canon_sha256": "6a644578316db419778af76af376e7822e12ec53739010175f79dc2118e688ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.5995",
    "kind": "arxiv",
    "version": 2
  }
}