Pith Number

pith:5GS27KQI

pith:2022:5GS27KQIBPGPZ6DHNZ5OVTF2OJ

not attested not anchored not stored refs pending

Physics-informed neural networks for PDE-constrained optimization and control

Adrian Sandu, Andrey A. Popov, Arash Sarshar, Jostein Barry-Straume

arxiv:2205.03377 v2 · 2022-05-06 · cs.LG · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5GS27KQIBPGPZ6DHNZ5OVTF2OJ}

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	2026-07-05T04:49:53.223621Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e9a5afaa080bccfcf8676e7aeaccba727bec72dad7a3bb4a4994cc6901fc40ae

Aliases

arxiv: 2205.03377 · arxiv_version: 2205.03377v2 · doi: 10.48550/arxiv.2205.03377 · pith_short_12: 5GS27KQIBPGP · pith_short_16: 5GS27KQIBPGPZ6DH · pith_short_8: 5GS27KQI

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/5GS27KQIBPGPZ6DHNZ5OVTF2OJ \
  | 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: e9a5afaa080bccfcf8676e7aeaccba727bec72dad7a3bb4a4994cc6901fc40ae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "14a18bbef823d942a4c790e37e4a41218dafb4231bdf68a7f63ea7b88241a862",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2022-05-06T17:22:36Z",
    "title_canon_sha256": "90b05c9cf598bfff32d7185a2dd15f530a072f2097cfab61c6b6df7cc0bc132f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2205.03377",
    "kind": "arxiv",
    "version": 2
  }
}