Pith Number

pith:RKZLRCSH

pith:2015:RKZLRCSHKG7IWGM7YYH645YMC3

not attested not anchored not stored refs pending

A Backward/Forward Recovery Approach for the Preconditioned Conjugate Gradient Method

Bora Ucar, Julien Langou, Massimiliano Fasi, Yves Robert

arxiv:1511.04478 v1 · 2015-11-13 · cs.DS

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RKZLRCSHKG7IWGM7YYH645YMC3}

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	2026-05-18T01:26:52.557009Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8ab2b88a4751be8b199fc60fee770c16c4b4beb30d0a5b4f6f29caf833156d5f

Aliases

arxiv: 1511.04478 · arxiv_version: 1511.04478v1 · doi: 10.48550/arxiv.1511.04478 · pith_short_12: RKZLRCSHKG7I · pith_short_16: RKZLRCSHKG7IWGM7 · pith_short_8: RKZLRCSH

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/RKZLRCSHKG7IWGM7YYH645YMC3 \
  | 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: 8ab2b88a4751be8b199fc60fee770c16c4b4beb30d0a5b4f6f29caf833156d5f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9759ea8e17074c6091f0245a6ce98ead5ba78ab3a19e01ec34b3e84cc9bff110",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2015-11-13T23:06:35Z",
    "title_canon_sha256": "b13cedb4de703e8e59d386fc1b287312d7fb9d8d28daca39ea4b5685fd078ca8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.04478",
    "kind": "arxiv",
    "version": 1
  }
}