Pith Number

pith:C2KU5WXE

pith:2013:C2KU5WXEMAM2AGGEQTSVK4ZYNP

not attested not anchored not stored refs pending

Fast Multipole Preconditioners for Sparse Matrices Arising from Elliptic Equations

David Keyes, Huda Ibeid, Jennifer Pestana, Rio Yokota

arxiv:1308.3339 v4 · 2013-08-15 · cs.NA · 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{C2KU5WXEMAM2AGGEQTSVK4ZYNP}

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	2026-05-18T01:22:43.891426Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

16954edae46019a018c484e55573386bfdfd89f9348549567b9c0c0ff9e80e0f

Aliases

arxiv: 1308.3339 · arxiv_version: 1308.3339v4 · doi: 10.48550/arxiv.1308.3339 · pith_short_12: C2KU5WXEMAM2 · pith_short_16: C2KU5WXEMAM2AGGE · pith_short_8: C2KU5WXE

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/C2KU5WXEMAM2AGGEQTSVK4ZYNP \
  | 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: 16954edae46019a018c484e55573386bfdfd89f9348549567b9c0c0ff9e80e0f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eb8fb444886e06646de7aaffdedca654e745957c61781a6c731289140f503e61",
    "cross_cats_sorted": [
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.NA",
    "submitted_at": "2013-08-15T08:53:25Z",
    "title_canon_sha256": "b2bfc9204ace7dbced58ec6a2007176b67cbf919fa58e73408ed032585ed5647"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.3339",
    "kind": "arxiv",
    "version": 4
  }
}