Pith Number

pith:4M7VJ5XV

pith:2026:4M7VJ5XVO7TJMAC53SDMYO4ZNZ

not attested not anchored not stored refs pending

Boundary-conformal integration for the invariant-imbedding T-matrix method: high-order convergence for faceted particles

Yu Xiong, Zihua Wu

arxiv:2606.21063 v1 · 2026-06-19 · physics.optics · physics.ao-ph · physics.comp-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4M7VJ5XVO7TJMAC53SDMYO4ZNZ}

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	2026-06-23T01:12:28.666032Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e33f54f6f577e696005ddc86cc3b996e4281cdd8203c361b55d55b5cc86f32a1

Aliases

arxiv: 2606.21063 · arxiv_version: 2606.21063v1 · doi: 10.48550/arxiv.2606.21063 · pith_short_12: 4M7VJ5XVO7TJ · pith_short_16: 4M7VJ5XVO7TJMAC5 · pith_short_8: 4M7VJ5XV

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/4M7VJ5XVO7TJMAC53SDMYO4ZNZ \
  | 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: e33f54f6f577e696005ddc86cc3b996e4281cdd8203c361b55d55b5cc86f32a1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "28211f0705f5adda63f347eea28587b3b2f1541fac35faf9c104f36c31a6521c",
    "cross_cats_sorted": [
      "physics.ao-ph",
      "physics.comp-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2026-06-19T03:28:58Z",
    "title_canon_sha256": "05d8888404dfe62869e68ae4ab2821c6e04d64c6ce2221bb535e34aa53f56691"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.21063",
    "kind": "arxiv",
    "version": 1
  }
}