Pith Number

pith:5D5X2R34

pith:2022:5D5X2R344FIMHBWTKFCJIH6NJ4

not attested not anchored not stored refs pending

BDDC preconditioners for divergence free virtual element discretizations of the Stokes equations

Simone Scacchi, Tommaso Bevilacqua

arxiv:2207.01361 v1 · 2022-07-04 · 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{5D5X2R344FIMHBWTKFCJIH6NJ4}

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	2026-07-05T04:37:11.098670Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e8fb7d477ce150c386d35144941fcd4f18175cd6b887fa570fbf6223351d549a

Aliases

arxiv: 2207.01361 · arxiv_version: 2207.01361v1 · doi: 10.48550/arxiv.2207.01361 · pith_short_12: 5D5X2R344FIM · pith_short_16: 5D5X2R344FIMHBWT · pith_short_8: 5D5X2R34

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/5D5X2R344FIMHBWTKFCJIH6NJ4 \
  | 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: e8fb7d477ce150c386d35144941fcd4f18175cd6b887fa570fbf6223351d549a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9ab85fa992f05e2b676dda7b5bd6c782522bc0898eab2442948741887a0cee01",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2022-07-04T12:34:48Z",
    "title_canon_sha256": "ebe98fd24fd71954dac121b4fa9695fe9e316feb9c73d4372bdd35cff331ba4f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2207.01361",
    "kind": "arxiv",
    "version": 1
  }
}