Pith Number

pith:JMO4RYT4

pith:2024:JMO4RYT45O6TSKQKFNFRXOPCR3

not attested not anchored not stored refs pending

Towards a Foundation Model for Partial Differential Equations: Multi-Operator Learning and Extrapolation

Hayden Schaeffer, Jingmin Sun, Yuxuan Liu, Zecheng Zhang

arxiv:2404.12355 v3 · 2024-04-18 · cs.LG · cs.NA · math.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{JMO4RYT45O6TSKQKFNFRXOPCR3}

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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

1 paper in Pith

Neuro-Symbolic AI for Analytical Solutions of Differential Equations

Receipt and verification

First computed	2026-07-05T10:08:15.847955Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4b1dc8e27cebbd392a0a2b4b1bb9e28eccc80fd6a841137bc7c36c76cec5fc5a

Aliases

arxiv: 2404.12355 · arxiv_version: 2404.12355v3 · doi: 10.48550/arxiv.2404.12355 · pith_short_12: JMO4RYT45O6T · pith_short_16: JMO4RYT45O6TSKQK · pith_short_8: JMO4RYT4

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/JMO4RYT45O6TSKQKFNFRXOPCR3 \
  | 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: 4b1dc8e27cebbd392a0a2b4b1bb9e28eccc80fd6a841137bc7c36c76cec5fc5a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e548334569e705e730bbbaa3675037116d3f9780cc7eff997c154d91223938e3",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2024-04-18T17:34:20Z",
    "title_canon_sha256": "b65d1be09541cf0362f0f433eb3809e14ee1d2e70f0a664c28aeb390acb7c34d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2404.12355",
    "kind": "arxiv",
    "version": 3
  }
}