Pith Number

pith:4N5C5WMD

pith:2021:4N5C5WMDI5GMYXQEX4HIABLTPO

not attested not anchored not stored refs pending

Long-time integration of parametric evolution equations with physics-informed DeepONets

Paris Perdikaris, Sifan Wang

arxiv:2106.05384 v1 · 2021-06-09 · cs.LG · 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{4N5C5WMDI5GMYXQEX4HIABLTPO}

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.

Cited by

1 paper in Pith

Optimization for Neural Operators can Benefit from Width

Receipt and verification

First computed	2026-07-05T02:48:01.472969Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e37a2ed983474ccc5e04bf0e8005737b922109f0812b292b29e83264bde6edf8

Aliases

arxiv: 2106.05384 · arxiv_version: 2106.05384v1 · doi: 10.48550/arxiv.2106.05384 · pith_short_12: 4N5C5WMDI5GM · pith_short_16: 4N5C5WMDI5GMYXQE · pith_short_8: 4N5C5WMD

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/4N5C5WMDI5GMYXQEX4HIABLTPO \
  | 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: e37a2ed983474ccc5e04bf0e8005737b922109f0812b292b29e83264bde6edf8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8099edfdc70ca3cc39270a869245fff8c54108284ecfafef91e596113238e133",
    "cross_cats_sorted": [
      "physics.comp-ph"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2021-06-09T20:46:17Z",
    "title_canon_sha256": "4ca7ff78cd468eed209999723a969f6bde56ae60e6b9dac581f5175d88103f37"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2106.05384",
    "kind": "arxiv",
    "version": 1
  }
}