Pith Number

pith:ZB6QIL5A

pith:2012:ZB6QIL5ARCJFACCEQ26KGX3TKH

not attested not anchored not stored refs pending

Relationship between the Hyers-Ulam stability and the Moore-Penrose inverse

Mohammad Sal Moslehian, Qianglian Huang

arxiv:1211.0192 v1 · 2012-11-01 · 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{ZB6QIL5ARCJFACCEQ26KGX3TKH}

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	2026-05-18T03:29:27.019582Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c87d042fa0889250084486bca35f7351c3eb39ff08a2686ff6b0695bcf519f7b

Aliases

arxiv: 1211.0192 · arxiv_version: 1211.0192v1 · doi: 10.48550/arxiv.1211.0192 · pith_short_12: ZB6QIL5ARCJF · pith_short_16: ZB6QIL5ARCJFACCE · pith_short_8: ZB6QIL5A

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/ZB6QIL5ARCJFACCEQ26KGX3TKH \
  | 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: c87d042fa0889250084486bca35f7351c3eb39ff08a2686ff6b0695bcf519f7b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c82919e8d67cc022a6d1dff98512d7d6c05e3c8f42b7f0c4cce6028d0c295e94",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-11-01T14:30:35Z",
    "title_canon_sha256": "4db3db8b852a26eb617e8a7a93e4d4ef370886689bef221096c7d0eec4e44bef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.0192",
    "kind": "arxiv",
    "version": 1
  }
}