Pith Number

pith:L4QVJB3I

pith:2017:L4QVJB3IISCZ4QDRLBSKFHCCFR

not attested not anchored not stored refs pending

A Heterogeneous FMM for 2-D Layered Media Helmholtz Equation I: Two & Three Layers Cases

Dangxing Chen, Jingfang Huang, Min Hyung Cho, Wei Cai

arxiv:1703.09136 v1 · 2017-03-27 · math.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{L4QVJB3IISCZ4QDRLBSKFHCCFR}

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	2026-05-18T00:11:43.853626Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f2154876844859e40715864a29c422c4499841cce6b340e85ad8ee349eeef34

Aliases

arxiv: 1703.09136 · arxiv_version: 1703.09136v1 · doi: 10.48550/arxiv.1703.09136 · pith_short_12: L4QVJB3IISCZ · pith_short_16: L4QVJB3IISCZ4QDR · pith_short_8: L4QVJB3I

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/L4QVJB3IISCZ4QDRLBSKFHCCFR \
  | 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: 5f2154876844859e40715864a29c422c4499841cce6b340e85ad8ee349eeef34

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "88390507f377b7816ef6526b40697af8f591c8a79d9601ef83b6eb09ae4d5ecf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2017-03-27T15:13:00Z",
    "title_canon_sha256": "74db7ab246fc256708733f6d03e1d6b4fba138480ee68cac1856d9a199e30782"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.09136",
    "kind": "arxiv",
    "version": 1
  }
}