Pith Number

pith:WJQKF4IP

pith:2015:WJQKF4IPRQMTJ322LMAZK6QFT4

not attested not anchored not stored refs pending

Hybrid and Multiplicative Overlapping Schwarz Algorithms with Standard Coarse Spaces for Mixed Linear Elasticity and Stokes Problems

Luca F. Pavarino, Mingchao Cai

arxiv:1512.04569 v1 · 2015-12-14 · 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{WJQKF4IPRQMTJ322LMAZK6QFT4}

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	2026-05-18T01:00:40.019279Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b260a2f10f8c1934ef5a5b01957a059f2a2487ed549823a3f6910b7431d85aef

Aliases

arxiv: 1512.04569 · arxiv_version: 1512.04569v1 · doi: 10.48550/arxiv.1512.04569 · pith_short_12: WJQKF4IPRQMT · pith_short_16: WJQKF4IPRQMTJ322 · pith_short_8: WJQKF4IP

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/WJQKF4IPRQMTJ322LMAZK6QFT4 \
  | 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: b260a2f10f8c1934ef5a5b01957a059f2a2487ed549823a3f6910b7431d85aef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a2de845bdeda11aa6956e202dcaa7742fc0566839844e744cbd883eb1921a3f4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2015-12-14T21:40:28Z",
    "title_canon_sha256": "3681da415d0fd26ebb0f311b303805a866971fdb00d993990a19330433ccec13"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.04569",
    "kind": "arxiv",
    "version": 1
  }
}