Pith Number

pith:Y5ZFRV6B

pith:2024:Y5ZFRV6BFAWVSZQKYUX5NT4U5F

not attested not anchored not stored refs pending

R-adaptive DeepONet: Learning Solution Operators for PDEs with Discontinuous Solutions Using an R-adaptive Strategy

Jingrun Chen, Weibing Deng, Yameng Zhu

arxiv:2408.04157 v1 · 2024-08-08 · 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{Y5ZFRV6BFAWVSZQKYUX5NT4U5F}

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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

2 papers in Pith

Inverse Low-Dimensional Manifold Reconstruction Framework for Spatiotemporal Reconstruction of Compressible Physical Fields

Smooth Piecewise Cutting for Neural Operator to Handle Discontinuities and Sharp Transitions

Receipt and verification

First computed	2026-07-05T08:53:28.828887Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c77258d7c1282d59660ac52fd6cf94e9449ec4f9fa0a6e5c338831e9884d9329

Aliases

arxiv: 2408.04157 · arxiv_version: 2408.04157v1 · doi: 10.48550/arxiv.2408.04157 · pith_short_12: Y5ZFRV6BFAWV · pith_short_16: Y5ZFRV6BFAWVSZQK · pith_short_8: Y5ZFRV6B

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/Y5ZFRV6BFAWVSZQKYUX5NT4U5F \
  | 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: c77258d7c1282d59660ac52fd6cf94e9449ec4f9fa0a6e5c338831e9884d9329

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6d2e246beaa07c9ae27bc393dda702c55b57ac1c0debdc579408e8c7b3c18a46",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2024-08-08T02:01:08Z",
    "title_canon_sha256": "03ac1324b2f24c14f5ea876e648ff3c08cf498ea66c0eec1f3e74d768f33de54"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2408.04157",
    "kind": "arxiv",
    "version": 1
  }
}