Pith Number

pith:QFKAVICC

pith:2016:QFKAVICCOU25MII2XCGJ35CYSF

not attested not anchored not stored refs pending

A Butterfly-Based Direct Integral Equation Solver Using Hierarchical LU Factorization for Analyzing Scattering from Electrically Large Conducting Objects

Eric Michielssen, Han Guo, Jun Hu, Yang Liu

arxiv:1610.00042 v2 · 2016-09-30 · 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{QFKAVICCOU25MII2XCGJ35CYSF}

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	2026-05-18T00:33:22.834139Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

81540aa0427535d6211ab88c9df458914b1143bb7bc1a628e007dd5cc8e6a450

Aliases

arxiv: 1610.00042 · arxiv_version: 1610.00042v2 · doi: 10.48550/arxiv.1610.00042 · pith_short_12: QFKAVICCOU25 · pith_short_16: QFKAVICCOU25MII2 · pith_short_8: QFKAVICC

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/QFKAVICCOU25MII2XCGJ35CYSF \
  | 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: 81540aa0427535d6211ab88c9df458914b1143bb7bc1a628e007dd5cc8e6a450

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "187c12355d61bf67ee24fd37f77f6ef3da68d0fa0b53dcfea059655534448cd1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2016-09-30T22:01:42Z",
    "title_canon_sha256": "72d710a43ba1b595aac1778164422f3d9d6fa25306ed84097148c8edb36cfa39"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.00042",
    "kind": "arxiv",
    "version": 2
  }
}