Pith Number

pith:GFYZJBZK

pith:2024:GFYZJBZKIP4OLZQA5D7HWBUEZY

not attested not anchored not stored refs pending

Physics-informed Neural Networks for Functional Differential Equations: Cylindrical Approximation and Its Convergence Guarantees

Taiki Miyagawa, Takeru Yokota

arxiv:2410.18153 v1 · 2024-10-23 · math.NA · cond-mat.dis-nn · cs.AI · cs.NA · hep-th · stat.ML

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GFYZJBZKIP4OLZQA5D7HWBUEZY}

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	2026-07-05T09:25:04.296999Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

317194872a43f8e5e600e8fe7b0684ce1f8bd56eb4b3c31eb6dcc52b188bfc45

Aliases

arxiv: 2410.18153 · arxiv_version: 2410.18153v1 · doi: 10.48550/arxiv.2410.18153 · pith_short_12: GFYZJBZKIP4O · pith_short_16: GFYZJBZKIP4OLZQA · pith_short_8: GFYZJBZK

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/GFYZJBZKIP4OLZQA5D7HWBUEZY \
  | 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: 317194872a43f8e5e600e8fe7b0684ce1f8bd56eb4b3c31eb6dcc52b188bfc45

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "554f3a476404fcebd5cc002ca233583a0e663953de0e02f12a1f652c8d32831b",
    "cross_cats_sorted": [
      "cond-mat.dis-nn",
      "cs.AI",
      "cs.NA",
      "hep-th",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2024-10-23T06:16:35Z",
    "title_canon_sha256": "38f8226edeab32add525d0c2f3dd6d57da9c105aefca14aacd128c32017df29a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2410.18153",
    "kind": "arxiv",
    "version": 1
  }
}