Pith Number

pith:YAOSBSZE

pith:2021:YAOSBSZE24FYBQTSPLCBR4FGCU

not attested not anchored not stored refs pending

Optimal control of PDEs using physics-informed neural networks

Saleh Nabi, Saviz Mowlavi

arxiv:2111.09880 v4 · 2021-11-18 · math.OC · physics.comp-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{YAOSBSZE24FYBQTSPLCBR4FGCU}

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	2026-07-05T05:13:04.737630Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c01d20cb24d70b80c2727ac418f0a6150e5382db6d2368322b04264d410d6198

Aliases

arxiv: 2111.09880 · arxiv_version: 2111.09880v4 · doi: 10.48550/arxiv.2111.09880 · pith_short_12: YAOSBSZE24FY · pith_short_16: YAOSBSZE24FYBQTS · pith_short_8: YAOSBSZE

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/YAOSBSZE24FYBQTSPLCBR4FGCU \
  | 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: c01d20cb24d70b80c2727ac418f0a6150e5382db6d2368322b04264d410d6198

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8917a379bdbb0928b95b5e75b0f3e0f4ba8229f0d381f76d7f4364687c5c62b2",
    "cross_cats_sorted": [
      "physics.comp-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2021-11-18T18:57:22Z",
    "title_canon_sha256": "668cb2b2a0988743cb6fd3df0f4bd9556fc7cdadf05e06c342ba021554db0c5e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2111.09880",
    "kind": "arxiv",
    "version": 4
  }
}