Pith Number

pith:7BALYFCP

pith:2026:7BALYFCPJLNOQUPI4TAPBQOZC5

not attested not anchored not stored refs pending

Generalized Neural Operator for Parametric and Boundary-Value Problems

Ruoyan Li, Wei Wang, Yizhou Sun

arxiv:2607.21932 v1 · 2026-07-24 · cs.CE · cs.AI

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7BALYFCPJLNOQUPI4TAPBQOZC5}

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	2026-07-27T00:20:28.465061Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f840bc144f4adae851e8e4c0f0c1d9176b95dd77d235e3e8d4c2ac284d418ca6

Aliases

arxiv: 2607.21932 · arxiv_version: 2607.21932v1 · doi: 10.48550/arxiv.2607.21932 · pith_short_12: 7BALYFCPJLNO · pith_short_16: 7BALYFCPJLNOQUPI · pith_short_8: 7BALYFCP

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/7BALYFCPJLNOQUPI4TAPBQOZC5 \
  | 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: f840bc144f4adae851e8e4c0f0c1d9176b95dd77d235e3e8d4c2ac284d418ca6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "66bb4be81e2dbc1d1d6925ac40d16799790e48c222bf55ed9d630e204ea85183",
    "cross_cats_sorted": [
      "cs.AI"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.CE",
    "submitted_at": "2026-07-24T03:10:32Z",
    "title_canon_sha256": "c08633c8c9dbcae030ff1dbf62aebca7185fd41630ec22562e949621b8f1bf50"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.21932",
    "kind": "arxiv",
    "version": 1
  }
}