Pith Number

pith:AIDR4FBP

pith:2025:AIDR4FBPDJ5WKE5Y4MND3OE6QV

not attested not anchored not stored refs pending

Neural Multiscale Decomposition for Solving The Nonlinear Klein-Gordon Equation with Time Oscillation

Huanhuan Gao*, Zhangyong Liang

arxiv:2512.00266 v7 · 2025-11-29 · math.NA · cs.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AIDR4FBPDJ5WKE5Y4MND3OE6QV}

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	2026-06-19T16:12:49.368678Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

02071e142f1a7b6513b8e31a3db89e85724576066de0e8d397b513f8d2f918ad

Aliases

arxiv: 2512.00266 · arxiv_version: 2512.00266v7 · doi: 10.48550/arxiv.2512.00266 · pith_short_12: AIDR4FBPDJ5W · pith_short_16: AIDR4FBPDJ5WKE5Y · pith_short_8: AIDR4FBP

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/AIDR4FBPDJ5WKE5Y4MND3OE6QV \
  | 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: 02071e142f1a7b6513b8e31a3db89e85724576066de0e8d397b513f8d2f918ad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "21687401e16854095c82e85410ffec73420f115042e6c4c173d909afd20c25d4",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2025-11-29T01:08:35Z",
    "title_canon_sha256": "c773742b20ad97e1f765a94ae21930d8928bb77f3727106853c3cdce55dc9243"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2512.00266",
    "kind": "arxiv",
    "version": 7
  }
}