Pith Number

pith:6R2HWSWS

pith:2022:6R2HWSWS6CI376N64GBLBD7US3

not attested not anchored not stored refs pending

Physics informed neural networks for elliptic equations with oscillatory differential operators

Arnav Gangal, Luis Kim, Sean P. Carney

arxiv:2212.13531 v2 · 2022-12-27 · math.NA · cs.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6R2HWSWS6CI376N64GBLBD7US3}

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	2026-07-05T07:00:20.566762Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f4747b4ad2f091bff9bee182b08ff496f04926bec0b68a0e3032138d4a929a0b

Aliases

arxiv: 2212.13531 · arxiv_version: 2212.13531v2 · doi: 10.48550/arxiv.2212.13531 · pith_short_12: 6R2HWSWS6CI3 · pith_short_16: 6R2HWSWS6CI376N6 · pith_short_8: 6R2HWSWS

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/6R2HWSWS6CI376N64GBLBD7US3 \
  | 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: f4747b4ad2f091bff9bee182b08ff496f04926bec0b68a0e3032138d4a929a0b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bbb84ac7cb9cf5649ea1d0bba379a9a4224e7583e9616ff0ab30ecbd79dba978",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2022-12-27T16:01:30Z",
    "title_canon_sha256": "6d5cb6c54fbc1505c9d91d680cc13b075296850bd1b5120c0419f8e33c916b63"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2212.13531",
    "kind": "arxiv",
    "version": 2
  }
}