Pith Number

pith:ARIBBFZ2

pith:2018:ARIBBFZ2NTWAEC2OBHFPHG4L5L

not attested not anchored not stored refs pending

Approximating the extreme Ritz values and upper bounds for the $A$-norm of the error in CG

G\'erard Meurant, Petr Tich\'y

arxiv:1810.02127 v1 · 2018-10-04 · 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{ARIBBFZ2NTWAEC2OBHFPHG4L5L}

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	2026-05-18T00:04:06.157695Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

045010973a6cec020b4e09caf39b8beae067419b16029011d0253d8ae21b01ee

Aliases

arxiv: 1810.02127 · arxiv_version: 1810.02127v1 · doi: 10.48550/arxiv.1810.02127 · pith_short_12: ARIBBFZ2NTWA · pith_short_16: ARIBBFZ2NTWAEC2O · pith_short_8: ARIBBFZ2

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/ARIBBFZ2NTWAEC2OBHFPHG4L5L \
  | 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: 045010973a6cec020b4e09caf39b8beae067419b16029011d0253d8ae21b01ee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6acdd2503a86b288af478fc5c2715aa3ce91b8dca087bd735207d79439709e72",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2018-10-04T10:03:53Z",
    "title_canon_sha256": "ab450b217f1c75344e443576b178dffe8552386fb00542c0e960eadbe45d55ed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.02127",
    "kind": "arxiv",
    "version": 1
  }
}