Pith Number

pith:XDUINZLR

pith:2021:XDUINZLRGCIX2T4FLKLCTSJDPB

not attested not anchored not stored refs pending

Solving Partial Differential Equations with Point Source Based on Physics-Informed Neural Networks

Bei Hua, Beiji Shi, Bin Dong, Bingya Weng, Fan Yu, Haotian Chu, Hongsheng Liu, Jing Zhou, Kang Yang, Lei Chen, Min Wang, Xiang Huang, Yang Li, Zidong Wang

arxiv:2111.01394 v1 · 2021-11-02 · cs.LG · cs.AI · 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{XDUINZLRGCIX2T4FLKLCTSJDPB}

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

2 papers in Pith

Physics-Informed Neural Networks and Radial Basis Functions for PDEs with Dirac Delta Sources

Physics-Informed Neural PDE Solvers via Spatio-Temporal MeanFlow

Receipt and verification

First computed	2026-07-05T03:28:02.500184Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b8e886e57130917d4f855a9629c923784517f5606182fc8bbc71ac82f86c5868

Aliases

arxiv: 2111.01394 · arxiv_version: 2111.01394v1 · doi: 10.48550/arxiv.2111.01394 · pith_short_12: XDUINZLRGCIX · pith_short_16: XDUINZLRGCIX2T4F · pith_short_8: XDUINZLR

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/XDUINZLRGCIX2T4FLKLCTSJDPB \
  | 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: b8e886e57130917d4f855a9629c923784517f5606182fc8bbc71ac82f86c5868

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bd9130ea9fa093797d2b93ab7ae15e021d59f12721dd3db9368b8d1a556952c2",
    "cross_cats_sorted": [
      "cs.AI",
      "physics.comp-ph"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2021-11-02T06:39:54Z",
    "title_canon_sha256": "d5853512941ebb9f784720980c6d422e1e7f14d04f40cc5bcfa5d39cfec5f527"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2111.01394",
    "kind": "arxiv",
    "version": 1
  }
}