Pith Number

pith:BYKPF4DD

pith:2026:BYKPF4DD2V6ORZ4XHSH4EMLP3N

not attested not anchored not stored refs pending

PI-DOSnet: A Physics-Informed Deep Operator-Splitting Network for Evolution Partial Differential Equations

Jizu Huang, Tao Zhou, Yue Qian

arxiv:2606.22514 v1 · 2026-06-21 · 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{BYKPF4DD2V6ORZ4XHSH4EMLP3N}

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	2026-06-23T02:13:40.512538Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0e14f2f063d57ce8e7973c8fc2316fdb521fc0dbe1cda338570bdfe2d42ad673

Aliases

arxiv: 2606.22514 · arxiv_version: 2606.22514v1 · doi: 10.48550/arxiv.2606.22514 · pith_short_12: BYKPF4DD2V6O · pith_short_16: BYKPF4DD2V6ORZ4X · pith_short_8: BYKPF4DD

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/BYKPF4DD2V6ORZ4XHSH4EMLP3N \
  | 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: 0e14f2f063d57ce8e7973c8fc2316fdb521fc0dbe1cda338570bdfe2d42ad673

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "45c6a6abe105b925a4f43cb538a63446833fb483b19ed54fe6fbdd99a347b5d7",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2026-06-21T14:06:53Z",
    "title_canon_sha256": "8b16aba677e5def7fa7d11513b6185446e39759a2f39b51a6024a9b55f1b471f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.22514",
    "kind": "arxiv",
    "version": 1
  }
}