Pith Number

pith:ZPY4BMV6

pith:2023:ZPY4BMV6TFJAXSZL73VDJLEOKL

not attested not anchored not stored refs pending

Solving a class of multi-scale elliptic PDEs by means of Fourier-based mixed physics informed neural networks

Jianhua Xu, Jinran Wu, Xi'an Li, Xin Tai, You-Gan Wang

arxiv:2306.13385 v6 · 2023-06-23 · 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{ZPY4BMV6TFJAXSZL73VDJLEOKL}

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	2026-07-05T06:37:33.673056Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cbf1c0b2be99520bcb2bfeea34ac8e52d6a2b61eefbd1c40205963c50eac0f4c

Aliases

arxiv: 2306.13385 · arxiv_version: 2306.13385v6 · doi: 10.48550/arxiv.2306.13385 · pith_short_12: ZPY4BMV6TFJA · pith_short_16: ZPY4BMV6TFJAXSZL · pith_short_8: ZPY4BMV6

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/ZPY4BMV6TFJAXSZL73VDJLEOKL \
  | 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: cbf1c0b2be99520bcb2bfeea34ac8e52d6a2b61eefbd1c40205963c50eac0f4c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "df2f7d6a472694c1f3a2c30a6b6dd487261b6f560f20bcf70dd2f19218c5d468",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2023-06-23T09:10:43Z",
    "title_canon_sha256": "b5ae24b42d4ab8ffb6df55c6ed7ccf0f881cb113c4998b789fe330478e77742f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2306.13385",
    "kind": "arxiv",
    "version": 6
  }
}