Pith Number

pith:UXJYPFTL

pith:2011:UXJYPFTLHDFC7VK4DLTGFTPXAO

not attested not anchored not stored refs pending

Lean Algebraic Multigrid (LAMG): Fast Graph Laplacian Linear Solver

Achi Brandt, Oren E. Livne

arxiv:1108.0123 v1 · 2011-07-31 · 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{UXJYPFTLHDFC7VK4DLTGFTPXAO}

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	2026-05-18T04:16:31.650091Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a5d387966b38ca2fd55c1ae662cdf7038e59a0d9c73f54c3feba3c0cdb192a68

Aliases

arxiv: 1108.0123 · arxiv_version: 1108.0123v1 · doi: 10.48550/arxiv.1108.0123 · pith_short_12: UXJYPFTLHDFC · pith_short_16: UXJYPFTLHDFC7VK4 · pith_short_8: UXJYPFTL

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/UXJYPFTLHDFC7VK4DLTGFTPXAO \
  | 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: a5d387966b38ca2fd55c1ae662cdf7038e59a0d9c73f54c3feba3c0cdb192a68

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1e6dd3e7fea1e0ed1c9f3d1d4d96fdf88ce548523c3c391423c3ecc4a243cf5d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2011-07-31T01:55:21Z",
    "title_canon_sha256": "ad14296e2643fdb31fde9d2e826c6678bf99bd8b6e3a4ef9ffec179e7ee20c43"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.0123",
    "kind": "arxiv",
    "version": 1
  }
}