Pith Number

pith:V5Z3RB6E

pith:2012:V5Z3RB6EI6PJN4UC2HHIMAR2NT

not attested not anchored not stored refs pending

Algebraic multilevel preconditioners for the graph Laplacian based on matching in graphs

James Brannick, Johannes Kraus, Ludmil Zikatanov, Yao Chen

arxiv:1204.4072 v1 · 2012-04-18 · 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{V5Z3RB6EI6PJN4UC2HHIMAR2NT}

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	2026-05-18T03:57:37.819952Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

af73b887c4479e96f282d1ce86023a6cd9f5570123e9c1d2df85413e32c45d2f

Aliases

arxiv: 1204.4072 · arxiv_version: 1204.4072v1 · doi: 10.48550/arxiv.1204.4072 · pith_short_12: V5Z3RB6EI6PJ · pith_short_16: V5Z3RB6EI6PJN4UC · pith_short_8: V5Z3RB6E

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/V5Z3RB6EI6PJN4UC2HHIMAR2NT \
  | 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: af73b887c4479e96f282d1ce86023a6cd9f5570123e9c1d2df85413e32c45d2f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4d512ddcd226ad019a36f8cd39b02a1fea0b8c1a7ded8ff06b0258a3ed10b5ac",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2012-04-18T12:46:07Z",
    "title_canon_sha256": "f412a49ec3fa78cac2086896d17d5abbe7574537824084e74b8325808fd8c852"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.4072",
    "kind": "arxiv",
    "version": 1
  }
}