Pith. sign in
Pith Number

pith:3BOAY2XA

pith:2021:3BOAY2XAZ4RUD2LB672B6KFC33
not attested not anchored not stored refs pending

Quadratic Residual Networks: A New Class of Neural Networks for Solving Forward and Inverse Problems in Physics Involving PDEs

Anuj Karpatne, Jie Bu

arxiv:2101.08366 v2 · 2021-01-20 · cs.LG · cs.CE

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{3BOAY2XAZ4RUD2LB672B6KFC33}

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 2026-07-05T02:10:28.550162Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

d85c0c6ae0cf2341e961f7f41f28a2dec1721deb1c9b0f9e4c5e2f56a3dfcf3c

Aliases

arxiv: 2101.08366 · arxiv_version: 2101.08366v2 · doi: 10.48550/arxiv.2101.08366 · pith_short_12: 3BOAY2XAZ4RU · pith_short_16: 3BOAY2XAZ4RUD2LB · pith_short_8: 3BOAY2XA
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/3BOAY2XAZ4RUD2LB672B6KFC33 \
  | 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: d85c0c6ae0cf2341e961f7f41f28a2dec1721deb1c9b0f9e4c5e2f56a3dfcf3c
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "d3587e6a6f76744e3f506e00c7a7710cb97b92be0dcd1b8c94ddf81a713d13f1",
    "cross_cats_sorted": [
      "cs.CE"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2021-01-20T23:54:55Z",
    "title_canon_sha256": "497abce693a870f8cf87dfe7e33113a5b82fa347a4cef1b3e35733f3eff0689e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2101.08366",
    "kind": "arxiv",
    "version": 2
  }
}