Pith Number

pith:4IK74XXM

pith:2018:4IK74XXMXNSJKV3P3SCBBOT5KL

not attested not anchored not stored refs pending

Spectral Convergence of the Stochastic Galerkin Approximation to the Boltzmann Equation with Multiple Scales and Large Random Perturbation in the Collision Kernel

Esther S. Daus, Liu Liu, Shi Jin

arxiv:1810.12992 v2 · 2018-10-30 · 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{4IK74XXMXNSJKV3P3SCBBOT5KL}

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	2026-05-17T23:55:19.297641Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e215fe5eecbb6495576fdc8410ba7d52fc3f6c53665a23a023e6613bebf090a7

Aliases

arxiv: 1810.12992 · arxiv_version: 1810.12992v2 · doi: 10.48550/arxiv.1810.12992 · pith_short_12: 4IK74XXMXNSJ · pith_short_16: 4IK74XXMXNSJKV3P · pith_short_8: 4IK74XXM

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/4IK74XXMXNSJKV3P3SCBBOT5KL \
  | 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: e215fe5eecbb6495576fdc8410ba7d52fc3f6c53665a23a023e6613bebf090a7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d7e64a767ed0a4dffc4080a24d5cf22e042f1bd143597ed92c90f7e244df8c39",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-10-30T20:29:40Z",
    "title_canon_sha256": "70fec7ee28498b5bf178198333afd993cd0fd97a216793bdab87d9079cd73c7a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.12992",
    "kind": "arxiv",
    "version": 2
  }
}