Pith Number

pith:NI4VKW2H

pith:2025:NI4VKW2HZYS3DUQYRKQ2TJPEZ2

not attested not anchored not stored refs pending

Robust space-time multiscale upscaling via multicontinuum homogenization for evolving perforated media

Viet Ha Hoang, Wei Xie, Yin Yang, Yunqing Huang

arxiv:2506.21104 v1 · 2025-06-26 · 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{NI4VKW2HZYS3DUQYRKQ2TJPEZ2}

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	2026-06-10T01:09:19.143230Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6a39555b47ce25b1d2188aa1a9a5e4ceb850a0316e9f97ab0b7486808a921d83

Aliases

arxiv: 2506.21104 · arxiv_version: 2506.21104v1 · doi: 10.48550/arxiv.2506.21104 · pith_short_12: NI4VKW2HZYS3 · pith_short_16: NI4VKW2HZYS3DUQY · pith_short_8: NI4VKW2H

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/NI4VKW2HZYS3DUQYRKQ2TJPEZ2 \
  | 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: 6a39555b47ce25b1d2188aa1a9a5e4ceb850a0316e9f97ab0b7486808a921d83

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5269167a64b85bbcc913747c0b8314b677487624b5e61c693fc886e029ab2cc7",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2025-06-26T09:01:53Z",
    "title_canon_sha256": "11427146342ea1a4bbeb048a3b12f447963b2fd4b7f429d2b3c2b18ced93ff60"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.21104",
    "kind": "arxiv",
    "version": 1
  }
}