Pith Number

pith:FNR6ZZZ3

pith:2014:FNR6ZZZ3B5C5LU3ORWGOBNCITN

not attested not anchored not stored refs pending

Multilevel Fast Multipole Algorithm for Characteristic Mode Analysis

Jun Wei Wu, Ling Ling Meng, Qi I. Dai, Wei E. I. Sha, Weng Cho Chew

arxiv:1412.1756 v2 · 2014-12-04 · 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{FNR6ZZZ3B5C5LU3ORWGOBNCITN}

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	2026-05-18T02:31:46.051020Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b63ece73b0f45d5d36e8d8ce0b4489b68e295cc8dabaee8a8997a43b381dada

Aliases

arxiv: 1412.1756 · arxiv_version: 1412.1756v2 · doi: 10.48550/arxiv.1412.1756 · pith_short_12: FNR6ZZZ3B5C5 · pith_short_16: FNR6ZZZ3B5C5LU3O · pith_short_8: FNR6ZZZ3

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/FNR6ZZZ3B5C5LU3ORWGOBNCITN \
  | 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: 2b63ece73b0f45d5d36e8d8ce0b4489b68e295cc8dabaee8a8997a43b381dada

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "979914f3c496c4d3e6f8e637c526ae4a4e4e36bf8f9617d3f143ee168597b087",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2014-12-04T18:32:46Z",
    "title_canon_sha256": "2310ca958532e89afb1e221cb81bc8d1c5aeeeb68fa3bade39088dc2ffe2c814"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.1756",
    "kind": "arxiv",
    "version": 2
  }
}