Pith Number

pith:6OECT3QR

pith:2013:6OECT3QRN7MHK5CEZ7WRYP5HYF

not attested not anchored not stored refs pending

The Shifting Technique for Computing the Extreme Solutions of $X + A^\top X^{-1} A = Q$

Chun-Yueh Chiang, Matthew M. Lin

arxiv:1302.6752 v1 · 2013-02-27 · 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{6OECT3QRN7MHK5CEZ7WRYP5HYF}

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	2026-05-18T03:32:18.927326Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f38829ee116fd8757444cfed1c3fa7c162cd96eea5e01aa583b469cb132640fc

Aliases

arxiv: 1302.6752 · arxiv_version: 1302.6752v1 · doi: 10.48550/arxiv.1302.6752 · pith_short_12: 6OECT3QRN7MH · pith_short_16: 6OECT3QRN7MHK5CE · pith_short_8: 6OECT3QR

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/6OECT3QRN7MHK5CEZ7WRYP5HYF \
  | 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: f38829ee116fd8757444cfed1c3fa7c162cd96eea5e01aa583b469cb132640fc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b0240073cb7f5d7190a72d0bd6960a1c96cf4874e7aab840fa8b7d7c751163ef",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2013-02-27T12:56:33Z",
    "title_canon_sha256": "8aeadf23228d49a3f7aaee7c493a48fda765eb74d08afbf6e7f0e2aebb4c4aae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.6752",
    "kind": "arxiv",
    "version": 1
  }
}