Pith Number

pith:CETUHFSO

pith:2024:CETUHFSONGTR5MVXUWXBWQ4J5Y

not attested not anchored not stored refs pending

An explainable operator approximation framework under the guideline of Green's function

Jianghang Gu, Ling Wen, Shiyi Chen, Yuntian Chen

arxiv:2412.16644 v2 · 2024-12-21 · physics.comp-ph · cs.LG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CETUHFSONGTR5MVXUWXBWQ4J5Y}

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	2026-07-05T11:39:46.587520Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

112743964e69a71eb2b7a5ae1b4389ee0489571c49f7a745da6c5363f57b7e39

Aliases

arxiv: 2412.16644 · arxiv_version: 2412.16644v2 · doi: 10.48550/arxiv.2412.16644 · pith_short_12: CETUHFSONGTR · pith_short_16: CETUHFSONGTR5MVX · pith_short_8: CETUHFSO

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/CETUHFSONGTR5MVXUWXBWQ4J5Y \
  | 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: 112743964e69a71eb2b7a5ae1b4389ee0489571c49f7a745da6c5363f57b7e39

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "40c063f058bcde971e4b8f901cb718b0176ab74ddbb02ca3fb84bcd22ea9a166",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.comp-ph",
    "submitted_at": "2024-12-21T14:31:03Z",
    "title_canon_sha256": "edee782b97457d82c7aea7a02d555cb4d25a8ecf3091c07764c4ea0c016448e3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.16644",
    "kind": "arxiv",
    "version": 2
  }
}