Pith. sign in
Pith Number

pith:TXIKAAOI

pith:2021:TXIKAAOISIR55OFVZ3JWH4LQHM
not attested not anchored not stored refs pending

Sobolev Training for Physics Informed Neural Networks

Hwijae Son, Hyung Ju Hwang, Jin Woo Jang, Woo Jin Han

arxiv:2101.08932 v2 · 2021-01-22 · math.NA · cs.NA

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{TXIKAAOISIR55OFVZ3JWH4LQHM}

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

1 paper in Pith

Receipt and verification
First computed 2026-07-05T03:38:59.117859Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

9dd0a001c89223deb8b5ced363f1703b1cf613711b44b51b958e09c1801df61c

Aliases

arxiv: 2101.08932 · arxiv_version: 2101.08932v2 · doi: 10.48550/arxiv.2101.08932 · pith_short_12: TXIKAAOISIR5 · pith_short_16: TXIKAAOISIR55OFV · pith_short_8: TXIKAAOI
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/TXIKAAOISIR55OFVZ3JWH4LQHM \
  | 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: 9dd0a001c89223deb8b5ced363f1703b1cf613711b44b51b958e09c1801df61c
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "3f607b6bc3c5e436343363b881d5e7e6f451e6bf8aeb154c0d6c392accab263d",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2021-01-22T03:35:42Z",
    "title_canon_sha256": "46d12daf09d7d56fc2e725908e3e4919358a13bb430ff84fd90b8b40673a6d72"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2101.08932",
    "kind": "arxiv",
    "version": 2
  }
}