Pith Number

pith:XJQJUSTX

pith:2016:XJQJUSTXCSBGAIEDYC7EDWNXFX

not attested not anchored not stored refs pending

Structure of the preconditioned system in various preconditioned conjugate gradient squared algorithms

Masaaki Sugihara, Shoji Itoh

arxiv:1603.00176 v3 · 2016-03-01 · math.NA · cs.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{XJQJUSTXCSBGAIEDYC7EDWNXFX}

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	2026-05-17T23:39:42.365834Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ba609a4a771482602083c0be41d9b72de476cb365e96815b32f3ba3d7619af66

Aliases

arxiv: 1603.00176 · arxiv_version: 1603.00176v3 · doi: 10.48550/arxiv.1603.00176 · pith_short_12: XJQJUSTXCSBG · pith_short_16: XJQJUSTXCSBGAIED · pith_short_8: XJQJUSTX

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/XJQJUSTXCSBGAIEDYC7EDWNXFX \
  | 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: ba609a4a771482602083c0be41d9b72de476cb365e96815b32f3ba3d7619af66

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d6d00d935b3d50cc77161fdd5f7a698b754a9839da77bd83252335440f9092e2",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2016-03-01T08:15:52Z",
    "title_canon_sha256": "ea1330f12494e5d001326b5bf27506181b8714f3a8ffb42717b63be83c0b2fe6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.00176",
    "kind": "arxiv",
    "version": 3
  }
}