Pith Number

pith:5VGFRVBB

pith:2012:5VGFRVBBGTFDIHOJFTQW73P5QE

not attested not anchored not stored refs pending

On the $\top$-Stein equation $X=AX^\top B+C$

Chun-Yueh Chiang, Matthew M. Lin

arxiv:1210.5731 v1 · 2012-10-21 · 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{5VGFRVBBGTFDIHOJFTQW73P5QE}

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	2026-05-18T03:42:43.193644Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed4c58d42134ca341dc92ce16fedfd811e49975899c8f22ef021db7dce4d700e

Aliases

arxiv: 1210.5731 · arxiv_version: 1210.5731v1 · doi: 10.48550/arxiv.1210.5731 · pith_short_12: 5VGFRVBBGTFD · pith_short_16: 5VGFRVBBGTFDIHOJ · pith_short_8: 5VGFRVBB

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/5VGFRVBBGTFDIHOJFTQW73P5QE \
  | 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: ed4c58d42134ca341dc92ce16fedfd811e49975899c8f22ef021db7dce4d700e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "db12c841112986de99fbb65da2496da8736d2adfe6cab8f5f6a7e29aaf40f490",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2012-10-21T14:20:47Z",
    "title_canon_sha256": "592ff0b583a6ccae00a95bdb27e7a52d462357692225c554c0d6c0580713f007"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.5731",
    "kind": "arxiv",
    "version": 1
  }
}