Pith Number

pith:GSHFDX6U

pith:2012:GSHFDX6UULAOZRNDUXHIXQE5TL

not attested not anchored not stored refs pending

On a decomposition lemma for positive semi-definite block-matrices

Eun-Young Lee, Jean-Christophe Bourin, Minghua Lin

arxiv:1202.0473 v1 · 2012-02-02 · math.FA · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GSHFDX6UULAOZRNDUXHIXQE5TL}

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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	2026-05-18T04:03:18.122793Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

348e51dfd4a2c0ecc5a3a5ce8bc09d9ae5d11d0cf2ec54f3795a60c02c704c8b

Aliases

arxiv: 1202.0473 · arxiv_version: 1202.0473v1 · doi: 10.48550/arxiv.1202.0473 · pith_short_12: GSHFDX6UULAO · pith_short_16: GSHFDX6UULAOZRND · pith_short_8: GSHFDX6U

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/GSHFDX6UULAOZRNDUXHIXQE5TL \
  | 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: 348e51dfd4a2c0ecc5a3a5ce8bc09d9ae5d11d0cf2ec54f3795a60c02c704c8b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4f3fa546c228e4b28e356a51600b4b2418c777d94f90dcdbcf50aab69e892f1c",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-02-02T16:09:44Z",
    "title_canon_sha256": "ef546255edd8fe7e325b21045134ae15edd396b914810d331ec230d865618de4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.0473",
    "kind": "arxiv",
    "version": 1
  }
}