Pith Number

pith:U4THO5YN

pith:2024:U4THO5YNN33IZ5WDGTI67CSGOG

not attested not anchored not stored refs pending

Tackling the Curse of Dimensionality in Fractional and Tempered Fractional PDEs with Physics-Informed Neural Networks

George Em Karniadakis, Kenji Kawaguchi, Zheyuan Hu, Zhongqiang Zhang

arxiv:2406.11708 v1 · 2024-06-17 · math.NA · cs.LG · cs.NA · 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{U4THO5YNN33IZ5WDGTI67CSGOG}

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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.

Receipt and verification

First computed	2026-07-05T09:58:21.600789Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a72677770d6ef68cf6c334d1ef8a46719d192014b550be4326a81a9070766578

Aliases

arxiv: 2406.11708 · arxiv_version: 2406.11708v1 · doi: 10.48550/arxiv.2406.11708 · pith_short_12: U4THO5YNN33I · pith_short_16: U4THO5YNN33IZ5WD · pith_short_8: U4THO5YN

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/U4THO5YNN33IZ5WDGTI67CSGOG \
  | 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: a72677770d6ef68cf6c334d1ef8a46719d192014b550be4326a81a9070766578

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "112ef4f4a3cfb0f7f58c11e84afcd70f073c036aa9ae1f5dfd99fb25ae273db4",
    "cross_cats_sorted": [
      "cs.LG",
      "cs.NA",
      "math.DS"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2024-06-17T16:26:18Z",
    "title_canon_sha256": "b09e6cdd27dcfa3345e51a3e8683acc4f6dabaa863cb730b6de84ca7fc2c2eee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2406.11708",
    "kind": "arxiv",
    "version": 1
  }
}