Pith Number

pith:6J6CCYJS

pith:2019:6J6CCYJSUZJUJBH5OSJ3Z5YYFV

not attested not anchored not stored refs pending

Multiscale Modeling, Homogenization and Nonlocal Effects: Mathematical and Computational Issues

Bjorn Engquist, Qiang Du, Xiaochuan Tian

arxiv:1909.00708 v1 · 2019-09-02 · math.NA · cs.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{6J6CCYJSUZJUJBH5OSJ3Z5YYFV}

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.

Cited by

2 papers in Pith

ND-TNN: Tensor-Neural-Network Approximation for High-Dimensional Nonlocal Diffusion Models

Graphon Limits of Graph Reaction--Diffusion Equations

Receipt and verification

First computed	2026-07-05T00:01:12.317869Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f27c216132a6534484fd7493bcf7182d4a45fa9275c0fc43ab4d2247870187c0

Aliases

arxiv: 1909.00708 · arxiv_version: 1909.00708v1 · doi: 10.48550/arxiv.1909.00708 · pith_short_12: 6J6CCYJSUZJU · pith_short_16: 6J6CCYJSUZJUJBH5 · pith_short_8: 6J6CCYJS

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/6J6CCYJSUZJUJBH5OSJ3Z5YYFV \
  | 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: f27c216132a6534484fd7493bcf7182d4a45fa9275c0fc43ab4d2247870187c0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7ceeeec925f257e2ef3c215c1e310ab01d97c437dfc05f4157681f41f702e79f",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2019-09-02T13:26:16Z",
    "title_canon_sha256": "71694eb439d737861c980ece7214b6593da47d2962e298bdc97622ec1169458f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1909.00708",
    "kind": "arxiv",
    "version": 1
  }
}