Pith Number

pith:4VA7NAQE

pith:2016:4VA7NAQEKOI64VERZL437ZZZOW

not attested not anchored not stored refs pending

Fast Multipole Method as a Matrix-Free Hierarchical Low-Rank Approximation

David Keyes, Huda Ibeid, Rio Yokota

arxiv:1602.02244 v1 · 2016-02-06 · 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{4VA7NAQEKOI64VERZL437ZZZOW}

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	2026-05-18T01:21:10.533040Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e541f682045391ee5491caf9bfe73975b7a92efc76744a3f36927e989020be8e

Aliases

arxiv: 1602.02244 · arxiv_version: 1602.02244v1 · doi: 10.48550/arxiv.1602.02244 · pith_short_12: 4VA7NAQEKOI6 · pith_short_16: 4VA7NAQEKOI64VER · pith_short_8: 4VA7NAQE

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/4VA7NAQEKOI64VERZL437ZZZOW \
  | 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: e541f682045391ee5491caf9bfe73975b7a92efc76744a3f36927e989020be8e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3b29ccbf0d53ce8735fd689db715097075ed34cdd9c4133fd5145a40e1039c9d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.NA",
    "submitted_at": "2016-02-06T12:04:14Z",
    "title_canon_sha256": "52a0dee7ddbf17ea1ed54da22fcf9de3fc427f2f9425ca311517c499eee01b18"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.02244",
    "kind": "arxiv",
    "version": 1
  }
}