Pith Number

pith:CY65L76K

pith:2018:CY65L76KDLGDSI47KDLAKS4YKJ

not attested not anchored not stored refs pending

New multiplicative perturbation bounds for the generalized polar decomposition

Na Liu, Qingxiang Xu, Wei Luo

arxiv:1807.03298 v1 · 2018-07-09 · 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{CY65L76KDLGDSI47KDLAKS4YKJ}

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	2026-05-18T00:11:10.860345Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

163dd5ffca1acc39239f50d6054b9852404463d7254bc506c41cf6fffd8ec75f

Aliases

arxiv: 1807.03298 · arxiv_version: 1807.03298v1 · doi: 10.48550/arxiv.1807.03298 · pith_short_12: CY65L76KDLGD · pith_short_16: CY65L76KDLGDSI47 · pith_short_8: CY65L76K

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/CY65L76KDLGDSI47KDLAKS4YKJ \
  | 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: 163dd5ffca1acc39239f50d6054b9852404463d7254bc506c41cf6fffd8ec75f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0d0d077bb026421797214416f8722872201ce0b40a9adf0d99a1b9f744189ebe",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-07-09T01:49:16Z",
    "title_canon_sha256": "292c0e94cc3dd6694eccf59259e1c40565d8d09d8581a2394017eb508d35bb20"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.03298",
    "kind": "arxiv",
    "version": 1
  }
}