Pith Number

pith:K72CSE33

pith:2019:K72CSE33ZLZYPGTK6YN5JCBXZG

not attested not anchored not stored refs pending

Adapting free-space fast multipole method for layered media Green's function: algorithm and analysis

Jingfang Huang, Min Hyung Cho

arxiv:1902.08250 v1 · 2019-02-21 · 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{K72CSE33ZLZYPGTK6YN5JCBXZG}

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	2026-06-04T20:13:55.404426Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

57f429137bcaf3879a6af61bd48837c9af5d53544b0e063d8ed6e6c1a03e56bf

Aliases

arxiv: 1902.08250 · arxiv_version: 1902.08250v1 · doi: 10.48550/arxiv.1902.08250 · pith_short_12: K72CSE33ZLZY · pith_short_16: K72CSE33ZLZYPGTK · pith_short_8: K72CSE33

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/K72CSE33ZLZYPGTK6YN5JCBXZG \
  | 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: 57f429137bcaf3879a6af61bd48837c9af5d53544b0e063d8ed6e6c1a03e56bf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "48d587c5a6318f9e9fef6b1fb4fc6c61f608a829720cdf48b1b2f1aebf3938f2",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2019-02-21T20:24:31Z",
    "title_canon_sha256": "495886e86be1ac664e2a3bcdc0f706bfb5424e24cc7b65a44c2506d317870093"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.08250",
    "kind": "arxiv",
    "version": 1
  }
}