Pith Number

pith:INNBXSWR

pith:2026:INNBXSWR7QGG44P2QDLBAM254D

not attested not anchored not stored refs pending

Agentic Symbolic Search: Characterizing PDEs Beyond Hand-crafted Expressions, Meshes, and Neural Networks

Liu Yang, Zongmin Yu

arxiv:2606.20467 v1 · 2026-06-18 · cs.LG · cs.NA · math.NA · 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{INNBXSWR7QGG44P2QDLBAM254D}

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	2026-06-19T16:13:13.095503Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

435a1bcad1fc0c6e71fa80d610335de0cb378beb97c0ab6c729bcf16de2d0888

Aliases

arxiv: 2606.20467 · arxiv_version: 2606.20467v1 · doi: 10.48550/arxiv.2606.20467 · pith_short_12: INNBXSWR7QGG · pith_short_16: INNBXSWR7QGG44P2 · pith_short_8: INNBXSWR

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/INNBXSWR7QGG44P2QDLBAM254D \
  | 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: 435a1bcad1fc0c6e71fa80d610335de0cb378beb97c0ab6c729bcf16de2d0888

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "040f5319a24871c8708095acbff0ae0cf5fced1a75aac6766d570c3c36e1585f",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA",
      "physics.comp-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-06-18T16:46:42Z",
    "title_canon_sha256": "0e6a27ad9a4273c89ed4af44ef7a140cf663f20226f6a5102649b296f7740506"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.20467",
    "kind": "arxiv",
    "version": 1
  }
}