Pith Number

pith:2QSOQSAD

pith:2011:2QSOQSADI7NDA6OLXPCFYOITCJ

not attested not anchored not stored refs pending

Analysis of a multigrid preconditioner for Crouzeix-Raviart discretization of elliptic PDE with jump coefficient

Yunrong Zhu

arxiv:1110.5159 v1 · 2011-10-24 · 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{2QSOQSADI7NDA6OLXPCFYOITCJ}

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	2026-05-18T04:10:24.568149Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d424e8480347da3079cbbbc45c39131250240c14e7ba6059ef16314c3c102688

Aliases

arxiv: 1110.5159 · arxiv_version: 1110.5159v1 · doi: 10.48550/arxiv.1110.5159 · pith_short_12: 2QSOQSADI7ND · pith_short_16: 2QSOQSADI7NDA6OL · pith_short_8: 2QSOQSAD

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/2QSOQSADI7NDA6OLXPCFYOITCJ \
  | 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: d424e8480347da3079cbbbc45c39131250240c14e7ba6059ef16314c3c102688

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3914268b207679694b51dff6ab7705b4416f43ddc0ecc6c3d583593212e7900d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2011-10-24T08:25:48Z",
    "title_canon_sha256": "fd6603fe88c573906d95b9fa57394552ce5a904fc755237d7ee73ffd07b0fe47"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.5159",
    "kind": "arxiv",
    "version": 1
  }
}