Pith Number

pith:533GAOA5

pith:2016:533GAOA5EZCXN63YIMNJ7D6AWK

not attested not anchored not stored refs pending

A Class of Iterative Solvers for the Helmholtz Equation: Factorizations, Sweeping Preconditioners, Source Transfer, Single Layer Potentials, Polarized Traces, and Optimized Schwarz Methods

Hui Zhang, Martin J. Gander

arxiv:1610.02270 v3 · 2016-10-07 · 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{533GAOA5EZCXN63YIMNJ7D6AWK}

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	2026-05-18T00:22:52.980416Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eef660381d264576fb78431a9f8fc0b2b1eb24ef8391008685167d81c7ed9a27

Aliases

arxiv: 1610.02270 · arxiv_version: 1610.02270v3 · doi: 10.48550/arxiv.1610.02270 · pith_short_12: 533GAOA5EZCX · pith_short_16: 533GAOA5EZCXN63Y · pith_short_8: 533GAOA5

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/533GAOA5EZCXN63YIMNJ7D6AWK \
  | 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: eef660381d264576fb78431a9f8fc0b2b1eb24ef8391008685167d81c7ed9a27

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5e2cf92d48bd0cf98b8d5d40a90cbe3ed053d76e777d49dbc610f4dbcef9e9c1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2016-10-07T13:21:50Z",
    "title_canon_sha256": "4fb30002ab8ff5b64ab945d9177b216f3d0bb13634c1873e95cc2a7c08ade1bc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.02270",
    "kind": "arxiv",
    "version": 3
  }
}