Pith Number

pith:6SI3FGLO

pith:2015:6SI3FGLO5LRKEXPYOKRAYH2JML

not attested not anchored not stored refs pending

Reducing Parallel Communication in Algebraic Multigrid through Sparsification

Amanda Bienz, Jacob B. Schroder, Luke N. Olson, Robert D. Falgout William Gropp

arxiv:1512.04629 v1 · 2015-12-15 · cs.DC · 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{6SI3FGLO5LRKEXPYOKRAYH2JML}

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	2026-05-18T01:24:19.772954Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f491b2996eeae2a25df872a20c1f4962df6737cd85ce9ad20fe0d8c7f1838ff9

Aliases

arxiv: 1512.04629 · arxiv_version: 1512.04629v1 · doi: 10.48550/arxiv.1512.04629 · pith_short_12: 6SI3FGLO5LRK · pith_short_16: 6SI3FGLO5LRKEXPY · pith_short_8: 6SI3FGLO

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/6SI3FGLO5LRKEXPYOKRAYH2JML \
  | 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: f491b2996eeae2a25df872a20c1f4962df6737cd85ce9ad20fe0d8c7f1838ff9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "abdbdd5081ec6c77bdfab70edb7721ff8fdd221e2652d4c10573cb2d6046d239",
    "cross_cats_sorted": [
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DC",
    "submitted_at": "2015-12-15T02:39:00Z",
    "title_canon_sha256": "767bad266071e7de05efd02756c44d716af14fed430c757843785474fa3eb38a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.04629",
    "kind": "arxiv",
    "version": 1
  }
}