Pith Number

pith:ZQYT4U2A

pith:2010:ZQYT4U2APRKGVBNRPMVSV3WPBU

not attested not anchored not stored refs pending

Optimality of multilevel preconditioners for local mesh refinement in three dimensions

Burak Aksoylu, Michael Holst

arxiv:1001.1369 v1 · 2010-01-08 · math.NA · cs.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{ZQYT4U2APRKGVBNRPMVSV3WPBU}

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	2026-06-03T23:06:32.386493Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cc313e53407c546a85b17b2b2aeecf0d05269a280bba5302fb03811d7d7e6b74

Aliases

arxiv: 1001.1369 · arxiv_version: 1001.1369v1 · doi: 10.48550/arxiv.1001.1369 · pith_short_12: ZQYT4U2APRKG · pith_short_16: ZQYT4U2APRKGVBNR · pith_short_8: ZQYT4U2A

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/ZQYT4U2APRKGVBNRPMVSV3WPBU \
  | 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: cc313e53407c546a85b17b2b2aeecf0d05269a280bba5302fb03811d7d7e6b74

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ba11a05f4de556a2f516a8574dbd7eaee62f28bc7e8b6ff1521cc85c2cbfd036",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2010-01-08T21:48:08Z",
    "title_canon_sha256": "9d0dea7c5b3a2f0a01cfa822452a585cd91d7669bf9088af32d4954cb3f7859d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.1369",
    "kind": "arxiv",
    "version": 1
  }
}