Pith Number

pith:2BQAZOFG

pith:2025:2BQAZOFGYJYVVXTPNHTOHYNQB2

not attested not anchored not stored refs pending

Transformed Diffusion-Wave fPINNs: Enhancing Computing Efficiency for PINNs Solving Time-Fractional Diffusion-Wave Equations

Jing Li, Zhengqi Zhang

arxiv:2506.11518 v2 · 2025-06-13 · 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{2BQAZOFGYJYVVXTPNHTOHYNQB2}

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	2026-06-03T01:05:44.231364Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d0600cb8a6c2715ade6f69e6e3e1b00e93c1c94cc6ed757018435f33269f2e4f

Aliases

arxiv: 2506.11518 · arxiv_version: 2506.11518v2 · doi: 10.48550/arxiv.2506.11518 · pith_short_12: 2BQAZOFGYJYV · pith_short_16: 2BQAZOFGYJYVVXTP · pith_short_8: 2BQAZOFG

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/2BQAZOFGYJYVVXTPNHTOHYNQB2 \
  | 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: d0600cb8a6c2715ade6f69e6e3e1b00e93c1c94cc6ed757018435f33269f2e4f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "41d09be2e18de3f5c232b63d752957d0a0503f1c4b3cb7579e69fd2d7c70b921",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2025-06-13T07:21:49Z",
    "title_canon_sha256": "ba841a9f3f88a3a4dff08f9a64df7daa522c3a22bd335133d1a602a31bbf8159"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.11518",
    "kind": "arxiv",
    "version": 2
  }
}