Pith Number

pith:PBGFVCZ5

pith:2017:PBGFVCZ5QPRO2JFYMZORFS4MPG

not attested not anchored not stored refs pending

Uniform Spectral Convergence of the Stochastic Galerkin Method for the Linear Semiconductor Boltzmann Equation with Random Inputs and Diffusive Scalings

Liu Liu

arxiv:1706.04757 v2 · 2017-06-15 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PBGFVCZ5QPRO2JFYMZORFS4MPG}

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	2026-05-18T00:23:14.162891Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

784c5a8b3d83e2ed24b8665d12cb8c7997683dca26e626a35be62fe437c99467

Aliases

arxiv: 1706.04757 · arxiv_version: 1706.04757v2 · doi: 10.48550/arxiv.1706.04757 · pith_short_12: PBGFVCZ5QPRO · pith_short_16: PBGFVCZ5QPRO2JFY · pith_short_8: PBGFVCZ5

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/PBGFVCZ5QPRO2JFYMZORFS4MPG \
  | 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: 784c5a8b3d83e2ed24b8665d12cb8c7997683dca26e626a35be62fe437c99467

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fc3ce2b8a7a7406ebe4eb49abca797edaa748e5b4739bada42af0495f663d610",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-06-15T07:16:56Z",
    "title_canon_sha256": "5dcadf1f6c1f4d6780854118d85650881c988a1a7716de938966e401100dc676"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.04757",
    "kind": "arxiv",
    "version": 2
  }
}