Pith Number

pith:FZA2Z3AK

pith:2018:FZA2Z3AKRGKV3HJBVZVTVRARL6

not attested not anchored not stored refs pending

Optimal additive Schwarz preconditioning for adaptive 2D IGA boundary element methods

Dirk Praetorius, Gregor Gantner, Stefan Schimanko, Thomas F\"uhrer

arxiv:1808.04585 v2 · 2018-08-14 · 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{FZA2Z3AKRGKV3HJBVZVTVRARL6}

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	2026-05-17T23:47:39.878411Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2e41acec0a89955d9d21ae6b3ac4115fa2a2cbd888ace5fc25ce44a804242808

Aliases

arxiv: 1808.04585 · arxiv_version: 1808.04585v2 · doi: 10.48550/arxiv.1808.04585 · pith_short_12: FZA2Z3AKRGKV · pith_short_16: FZA2Z3AKRGKV3HJB · pith_short_8: FZA2Z3AK

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/FZA2Z3AKRGKV3HJBVZVTVRARL6 \
  | 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: 2e41acec0a89955d9d21ae6b3ac4115fa2a2cbd888ace5fc25ce44a804242808

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8733bb6e30d81e67a656852dc40f1fcce37608e6df88dccf36b22ecd8f601d12",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2018-08-14T08:57:07Z",
    "title_canon_sha256": "42730e2183881d070246eb18b78e86615ab30f2e6973b922e19772e8c61ab40e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.04585",
    "kind": "arxiv",
    "version": 2
  }
}