Pith Number

pith:EPML4Z6W

pith:2013:EPML4Z6WEQNOLVVRI7MVEZZEOB

not attested not anchored not stored refs pending

A parallel directional Fast Multipole Method

Austin R. Benson, Bj\"orn Engquist, Jack Poulson, Kenneth Tran, Lexing Ying

arxiv:1311.4257 v1 · 2013-11-18 · 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{EPML4Z6WEQNOLVVRI7MVEZZEOB}

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	2026-05-18T00:26:47.530216Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

23d8be67d6241ae5d6b147d9526724704bb41fdf96208bc5b1dbc90d9e7603fb

Aliases

arxiv: 1311.4257 · arxiv_version: 1311.4257v1 · doi: 10.48550/arxiv.1311.4257 · pith_short_12: EPML4Z6WEQNO · pith_short_16: EPML4Z6WEQNOLVVR · pith_short_8: EPML4Z6W

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/EPML4Z6WEQNOLVVRI7MVEZZEOB \
  | 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: 23d8be67d6241ae5d6b147d9526724704bb41fdf96208bc5b1dbc90d9e7603fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "23081860f68188acb7487e9d2af4c4fe449e60d8f6f730b936117528a2fd72b5",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2013-11-18T03:47:36Z",
    "title_canon_sha256": "112469212af4889dac30de847f9ce4d5c99d4a764fb9093f36805cd54af87c92"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.4257",
    "kind": "arxiv",
    "version": 1
  }
}