Pith Number

pith:S32U7FZN

pith:2025:S32U7FZNCYCXF36QRTJTWCHYJL

not attested not anchored not stored refs pending

Self-supervised neural operator for solving partial differential equations

Shaoqian Zhou, Wen You, Xuhui Meng

arxiv:2509.00867 v3 · 2025-08-31 · 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{S32U7FZNCYCXF36QRTJTWCHYJL}

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	2026-05-20T00:00:23.258587Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

96f54f972d160572efd08cd33b08f84ac8e0b5d55ab1a20f90f021909e494791

Aliases

arxiv: 2509.00867 · arxiv_version: 2509.00867v3 · doi: 10.48550/arxiv.2509.00867 · pith_short_12: S32U7FZNCYCX · pith_short_16: S32U7FZNCYCXF36Q · pith_short_8: S32U7FZN

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/S32U7FZNCYCXF36QRTJTWCHYJL \
  | 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: 96f54f972d160572efd08cd33b08f84ac8e0b5d55ab1a20f90f021909e494791

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0bf8a376c00b34b1611569a70a2511e423c4d1fd37a0adf20b8a6bbcfd426c33",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.comp-ph",
    "submitted_at": "2025-08-31T14:24:23Z",
    "title_canon_sha256": "dc789b96d70fa467ed7854adba86d48dec372d85cf7e27b2599db86a7c41fd8b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.00867",
    "kind": "arxiv",
    "version": 3
  }
}