Pith Number

pith:5IQ55WM5

pith:2017:5IQ55WM5I274D33URTXCP4CJKR

not attested not anchored not stored refs pending

Nonlinear Geometric Optics Based Multiscale Stochastic Galerkin Methods for Highly Oscillatory Transport Equations with Random Inputs

Liu Liu, Mohammed Lemou, Nicolas Crouseilles, Shi Jin

arxiv:1704.01019 v1 · 2017-04-04 · 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{5IQ55WM5I274D33URTXCP4CJKR}

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	2026-05-18T00:47:16.446192Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea21ded99d46bfc1ef748cee27f04954793e12a1ce04a72fdefae5a73bd429f6

Aliases

arxiv: 1704.01019 · arxiv_version: 1704.01019v1 · doi: 10.48550/arxiv.1704.01019 · pith_short_12: 5IQ55WM5I274 · pith_short_16: 5IQ55WM5I274D33U · pith_short_8: 5IQ55WM5

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/5IQ55WM5I274D33URTXCP4CJKR \
  | 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: ea21ded99d46bfc1ef748cee27f04954793e12a1ce04a72fdefae5a73bd429f6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e5686d31579fc9aa5ceadac756668b3d247f4945833c5ec7a00df4e9f6c7591d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2017-04-04T13:57:34Z",
    "title_canon_sha256": "157b35b6e8572f2ac8e356cf28871c8f159d879616cae9307520df8d47e48c35"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.01019",
    "kind": "arxiv",
    "version": 1
  }
}