Pith Number

pith:GGLPRO55

pith:2012:GGLPRO55J3E6KV6JCTQISZD27S

not attested not anchored not stored refs pending

A One-level Additive Schwarz Preconditioner for a Discontinuous Petrov-Galerkin Method

Andrew T. Barker, Eun-Hee Park, Li-yeng Sung, Susanne C. Brenner

arxiv:1212.2645 v1 · 2012-12-11 · 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{GGLPRO55J3E6KV6JCTQISZD27S}

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	2026-05-18T03:38:35.822077Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3196f8bbbd4ec9e557c914e089647afc9364c55aa663d5fe39c84409f635d2a8

Aliases

arxiv: 1212.2645 · arxiv_version: 1212.2645v1 · doi: 10.48550/arxiv.1212.2645 · pith_short_12: GGLPRO55J3E6 · pith_short_16: GGLPRO55J3E6KV6J · pith_short_8: GGLPRO55

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/GGLPRO55J3E6KV6JCTQISZD27S \
  | 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: 3196f8bbbd4ec9e557c914e089647afc9364c55aa663d5fe39c84409f635d2a8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ec62f6e107974bc96dee9e5a7b2b6de443a738638db8da63961fbea3e0dfea12",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2012-12-11T21:05:35Z",
    "title_canon_sha256": "a4eeab964d1ab6eaa24570e4cb0476061b997681af6a86eae2c74ea14f00be9b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.2645",
    "kind": "arxiv",
    "version": 1
  }
}