Pith Number

pith:UFE3343E

pith:2026:UFE3343EA2C3JOTXJ4OBY5IXZH

not attested not anchored not stored refs pending

WarpagePINN: Thermal Warpage Prediction in Advanced Packaging via a Two-Stage Physics-Informed Neural Networks

Jianhua Zhang, Liang Chen, Min Tang, Wenxing Zhu, Xinyu Li, Zeyu Sun

arxiv:2607.00364 v1 · 2026-07-01 · 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{UFE3343EA2C3JOTXJ4OBY5IXZH}

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	2026-07-02T01:17:41.250226Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a149bdf3640685b4ba774f1c1c7517c9ee43966366a8e85414d1b33d9e536d96

Aliases

arxiv: 2607.00364 · arxiv_version: 2607.00364v1 · doi: 10.48550/arxiv.2607.00364 · pith_short_12: UFE3343EA2C3 · pith_short_16: UFE3343EA2C3JOTX · pith_short_8: UFE3343E

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/UFE3343EA2C3JOTXJ4OBY5IXZH \
  | 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: a149bdf3640685b4ba774f1c1c7517c9ee43966366a8e85414d1b33d9e536d96

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "458f44c8beeea46bd01e8114e6d140432781f405a353b0fbe0e376e3b9364a24",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2026-07-01T03:03:10Z",
    "title_canon_sha256": "2d9b301a0a0c5db7a70eeaa0f6721d09229e4a3e8985f48cb8803a5b9c6a237c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.00364",
    "kind": "arxiv",
    "version": 1
  }
}