Pith Number

pith:V6E4HVOP

pith:2025:V6E4HVOPZ2DGAGVE4YT7K4LX6W

not attested not anchored not stored refs pending

Applications and Manipulations of Physics-Informed Neural Networks in Solving Differential Equations

Aarush Gupta, Kendric Hsu, Syna Mathod

arxiv:2507.19522 v1 · 2025-07-19 · cs.LG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{V6E4HVOPZ2DGAGVE4YT7K4LX6W}

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	2026-07-05T11:43:35.658970Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

af89c3d5cfce86601aa4e627f57177f5b1f74592ee17cf03a24af980db412f08

Aliases

arxiv: 2507.19522 · arxiv_version: 2507.19522v1 · doi: 10.48550/arxiv.2507.19522 · pith_short_12: V6E4HVOPZ2DG · pith_short_16: V6E4HVOPZ2DGAGVE · pith_short_8: V6E4HVOP

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/V6E4HVOPZ2DGAGVE4YT7K4LX6W \
  | 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: af89c3d5cfce86601aa4e627f57177f5b1f74592ee17cf03a24af980db412f08

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "187fa46572eef2fd1d071a752758781ef57a5a94fb4099a49fa39bf9ad357372",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2025-07-19T03:39:49Z",
    "title_canon_sha256": "208f6b0411dd201058a519b9acc49118296c508f06871bd1757fab608a2d8df3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.19522",
    "kind": "arxiv",
    "version": 1
  }
}