Pith Number

pith:6W5G3H3E

pith:2023:6W5G3H3EWY3FBHV345COK2QALP

not attested not anchored not stored refs pending

A Symmetric Multigrid-Preconditioned Krylov Subspace Solver for Stokes Equations

Eftychios Sifakis, Yutian Tao

arxiv:2312.10615 v3 · 2023-12-17 · math.NA · cs.NA · physics.comp-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6W5G3H3EWY3FBHV345COK2QALP}

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	2026-07-05T08:57:53.956699Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f5ba6d9f64b636509ebbe744e56a005bee5920ab2ad2294ab967abce6ada871e

Aliases

arxiv: 2312.10615 · arxiv_version: 2312.10615v3 · doi: 10.48550/arxiv.2312.10615 · pith_short_12: 6W5G3H3EWY3F · pith_short_16: 6W5G3H3EWY3FBHV3 · pith_short_8: 6W5G3H3E

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/6W5G3H3EWY3FBHV345COK2QALP \
  | 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: f5ba6d9f64b636509ebbe744e56a005bee5920ab2ad2294ab967abce6ada871e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "185aa8fca5bcbd979e5ba2a15e87ba437284632b83758fe520f819c930efa18c",
    "cross_cats_sorted": [
      "cs.NA",
      "physics.comp-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2023-12-17T05:33:50Z",
    "title_canon_sha256": "ebcec7fb76345b2c183e97003573ae1e47875b9a7c916b33727188d348889f44"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2312.10615",
    "kind": "arxiv",
    "version": 3
  }
}