Pith Number

pith:HAXPOZ6F

pith:2021:HAXPOZ6FFYZCSF7NYPR73ROZ4Q

not attested not anchored not stored refs pending

Is it time to swish? Comparing activation functions in solving the Helmholtz equation using physics-informed neural networks

Ali Al-Safwan, Chao Song, Umair Bin Waheed

arxiv:2110.07721 v1 · 2021-10-11 · physics.comp-ph · physics.geo-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{HAXPOZ6FFYZCSF7NYPR73ROZ4Q}

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	2026-07-05T03:22:49.036025Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

382ef767c52e322917edc3e3fdc5d9e40f12f7cab3e04b383a39a0c5e83a6c1e

Aliases

arxiv: 2110.07721 · arxiv_version: 2110.07721v1 · doi: 10.48550/arxiv.2110.07721 · pith_short_12: HAXPOZ6FFYZC · pith_short_16: HAXPOZ6FFYZCSF7N · pith_short_8: HAXPOZ6F

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/HAXPOZ6FFYZCSF7NYPR73ROZ4Q \
  | 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: 382ef767c52e322917edc3e3fdc5d9e40f12f7cab3e04b383a39a0c5e83a6c1e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "75d4cc9c5a6dfd7661aab7899095bf7f7e64c0145699db4af46293f714395163",
    "cross_cats_sorted": [
      "physics.geo-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "physics.comp-ph",
    "submitted_at": "2021-10-11T11:48:26Z",
    "title_canon_sha256": "8b220bfcf82cb4987fdf3ae6207d9fb93ba825c617000e20b6db7cd64ddf3184"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2110.07721",
    "kind": "arxiv",
    "version": 1
  }
}