Pith Number

pith:YR5V7VA3

pith:2024:YR5V7VA32E33ML65KMGM7FM5WH

not attested not anchored not stored refs pending

Physics-Informed Neural Networks with Complementary Soft and Hard Constraints for Solving Complex Boundary Navier-Stokes Equations

Chenxi Lan, Chuyu Zhou, Guoguo Xin, Guoqing Wang, Hangzhou Yang, Pengyu Nan, Rongyu Du, Tianyu Li, Wei Li, Xun Liu

arxiv:2411.08122 v1 · 2024-11-12 · physics.flu-dyn · physics.comp-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YR5V7VA32E33ML65KMGM7FM5WH}

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

Solved in Unit Domain: JacobiNet for Differentiable Coordinate-Transformed PINNs

Receipt and verification

First computed	2026-07-05T09:34:41.775481Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c47b5fd41bd137b62fdd530ccf959db1dcf27fd2abc067cf07e7c18c1b3c7fc8

Aliases

arxiv: 2411.08122 · arxiv_version: 2411.08122v1 · doi: 10.48550/arxiv.2411.08122 · pith_short_12: YR5V7VA32E33 · pith_short_16: YR5V7VA32E33ML65 · pith_short_8: YR5V7VA3

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/YR5V7VA32E33ML65KMGM7FM5WH \
  | 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: c47b5fd41bd137b62fdd530ccf959db1dcf27fd2abc067cf07e7c18c1b3c7fc8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4991816dac74f4e93ebeb5907b3b2c8c8430de0724f84c9aa3014bb158e29925",
    "cross_cats_sorted": [
      "physics.comp-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.flu-dyn",
    "submitted_at": "2024-11-12T19:05:06Z",
    "title_canon_sha256": "da82e7fc984ccafde4594d343bb1b3a1c58d205784b4bcea953cf676db010a1e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.08122",
    "kind": "arxiv",
    "version": 1
  }
}