Pith Number

pith:Z62NC6UF

pith:2022:Z62NC6UFPAW5OCTDRRKNDG3WHF

not attested not anchored not stored refs pending

Scalable algorithms for physics-informed neural and graph networks

George Em Karniadakis, Khemraj Shukla, Mengjia Xu, Nathaniel Trask

arxiv:2205.08332 v1 · 2022-05-16 · cs.LG · cs.AI · cs.DC · math.AP · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z62NC6UFPAW5OCTDRRKNDG3WHF}

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	2026-07-05T04:24:01.895189Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cfb4d17a85782dd70a638c54d19b76397fdcd79a9df01d0fb4d9758bd83a8188

Aliases

arxiv: 2205.08332 · arxiv_version: 2205.08332v1 · doi: 10.48550/arxiv.2205.08332 · pith_short_12: Z62NC6UFPAW5 · pith_short_16: Z62NC6UFPAW5OCTD · pith_short_8: Z62NC6UF

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/Z62NC6UFPAW5OCTDRRKNDG3WHF \
  | 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: cfb4d17a85782dd70a638c54d19b76397fdcd79a9df01d0fb4d9758bd83a8188

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e48afbf2f68a9ff9e882576f4354adb117dae7f43fd00b703c743cdbede683e0",
    "cross_cats_sorted": [
      "cs.AI",
      "cs.DC",
      "math.AP",
      "math.DS"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2022-05-16T15:46:11Z",
    "title_canon_sha256": "f54d311bb826a9c4d77f3d2e6835959ff876b56c2ffabb029b04f4135ae35c80"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2205.08332",
    "kind": "arxiv",
    "version": 1
  }
}