Pith Number

pith:VR5VJVRF

pith:2017:VR5VJVRFR65NWEUY5RPJRCKXQT

not attested not anchored not stored refs pending

Hypocoercivity based Sensitivity Analysis and Spectral Convergence of the Stochastic Galerkin Approximation to Collisional Kinetic Equations with Multiple Scales and Random Inputs

Liu Liu, Shi Jin

arxiv:1710.00226 v7 · 2017-09-30 · math.AP · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VR5VJVRFR65NWEUY5RPJRCKXQT}

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	2026-05-18T00:15:10.120586Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac7b54d6258fbadb1298ec5e98895784e87da55e2b054126288d98fb621ab551

Aliases

arxiv: 1710.00226 · arxiv_version: 1710.00226v7 · doi: 10.48550/arxiv.1710.00226 · pith_short_12: VR5VJVRFR65N · pith_short_16: VR5VJVRFR65NWEUY · pith_short_8: VR5VJVRF

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/VR5VJVRFR65NWEUY5RPJRCKXQT \
  | 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: ac7b54d6258fbadb1298ec5e98895784e87da55e2b054126288d98fb621ab551

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "79ca3c061641ca6503289843ff4d0ca7753c226af92b4266769b4e57db149560",
    "cross_cats_sorted": [
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-09-30T17:14:05Z",
    "title_canon_sha256": "cba6dc161f14a7d86029c2dae3b06556f92a91bae07b9ca472083eb303a19218"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.00226",
    "kind": "arxiv",
    "version": 7
  }
}