Pith Number

pith:U3LO7ZDW

pith:2025:U3LO7ZDWLPJB6QVT4KS7R5K3KJ

not attested not anchored not stored refs pending

Generalized Optimal AMG Convergence Theory for Stokes Equations Using Smooth Aggregation and Vanka Relaxation Strategies

Ahsan Ali, Alexey Voronin, Ben S. Southworth, Jacob B. Schroder, James J. Brannick, Karsten Kahl, Oliver A. Krzysik

arxiv:2501.06621 v1 · 2025-01-11 · 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{U3LO7ZDWLPJB6QVT4KS7R5K3KJ}

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	2026-07-05T10:00:06.240229Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a6d6efe4765bd21f42b3e2a5f8f55b5268ef7ca9e2d78cb58ed977cf31346497

Aliases

arxiv: 2501.06621 · arxiv_version: 2501.06621v1 · doi: 10.48550/arxiv.2501.06621 · pith_short_12: U3LO7ZDWLPJB · pith_short_16: U3LO7ZDWLPJB6QVT · pith_short_8: U3LO7ZDW

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/U3LO7ZDWLPJB6QVT4KS7R5K3KJ \
  | 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: a6d6efe4765bd21f42b3e2a5f8f55b5268ef7ca9e2d78cb58ed977cf31346497

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c4cb38fc75d22ad30beb41a650d88c40fbcd58968af9222fdf8eed8c1c0d75d7",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2025-01-11T19:04:34Z",
    "title_canon_sha256": "eaf6bef051ccb7fcf597522db9f2106323a059e05fe2099a8ba3b40512fa8cad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.06621",
    "kind": "arxiv",
    "version": 1
  }
}