Pith Number

pith:5GFBJALJ

pith:2025:5GFBJALJBATP4WEDOPGHQH7W2C

not attested not anchored not stored refs pending

Spectral-inspired Operator Learning with Limited Data and Unknown Physics

Han Wan, Hao Sun, Rui Zhang

arxiv:2505.21573 v3 · 2025-05-27 · cs.LG · 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{5GFBJALJBATP4WEDOPGHQH7W2C}

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	2026-05-25T02:01:04.440399Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e98a1481690826fe588373cc781ff6d0a59c27c4a9c463eb61a7d05792a7f8fa

Aliases

arxiv: 2505.21573 · arxiv_version: 2505.21573v3 · doi: 10.48550/arxiv.2505.21573 · pith_short_12: 5GFBJALJBATP · pith_short_16: 5GFBJALJBATP4WED · pith_short_8: 5GFBJALJ

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/5GFBJALJBATP4WEDOPGHQH7W2C \
  | 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: e98a1481690826fe588373cc781ff6d0a59c27c4a9c463eb61a7d05792a7f8fa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7bd7c5cab8e96504c809ecf2df3b091b36d3d718d81af3357d733ca62db1ca5e",
    "cross_cats_sorted": [
      "cs.AI"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2025-05-27T07:25:13Z",
    "title_canon_sha256": "8c55a53dda5a7d5c3e23f18ba1fde199964c2f250c2bd717f68b1b374b870f56"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.21573",
    "kind": "arxiv",
    "version": 3
  }
}