Pith Number

pith:IUPDVKAJ

pith:2012:IUPDVKAJYUBICNYXSVB5IF44NN

not attested not anchored not stored refs pending

The Deflated Conjugate Gradient Method: Convergence, Perturbation and Accuracy

H. Rittich, K. Kahl

arxiv:1209.1963 v4 · 2012-09-10 · 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{IUPDVKAJYUBICNYXSVB5IF44NN}

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	2026-05-18T00:45:52.628281Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

451e3aa809c5028137179543d4179c6b4871395aabfdbc44aa19684090cc78e8

Aliases

arxiv: 1209.1963 · arxiv_version: 1209.1963v4 · doi: 10.48550/arxiv.1209.1963 · pith_short_12: IUPDVKAJYUBI · pith_short_16: IUPDVKAJYUBICNYX · pith_short_8: IUPDVKAJ

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/IUPDVKAJYUBICNYXSVB5IF44NN \
  | 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: 451e3aa809c5028137179543d4179c6b4871395aabfdbc44aa19684090cc78e8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "44e0e9eb2a9c991ca3f9faeaab6bec9e4f05d0a392c99ca934a084b88fdeba4b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2012-09-10T12:41:40Z",
    "title_canon_sha256": "1df3276ac940d0df8bb1b8c6481cd5a387c0ea4381299e9caf987b1435a79226"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.1963",
    "kind": "arxiv",
    "version": 4
  }
}