Pith Number

pith:PMBCIGW7

pith:2018:PMBCIGW7DK7ROPO3FNDXE4BQVR

not attested not anchored not stored refs pending

Perturbation estimation for the parallel sum of Hermitian positive semi-definite matrices

Chuanning Song, Qingxiang Xu, Wei Luo

arxiv:1806.07033 v1 · 2018-06-19 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PMBCIGW7DK7ROPO3FNDXE4BQVR}

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	2026-05-18T00:12:57.643333Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b02241adf1abf173ddb2b47727030ac6b23d4bc91529cce3315f30759460a39

Aliases

arxiv: 1806.07033 · arxiv_version: 1806.07033v1 · doi: 10.48550/arxiv.1806.07033 · pith_short_12: PMBCIGW7DK7R · pith_short_16: PMBCIGW7DK7ROPO3 · pith_short_8: PMBCIGW7

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/PMBCIGW7DK7ROPO3FNDXE4BQVR \
  | 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: 7b02241adf1abf173ddb2b47727030ac6b23d4bc91529cce3315f30759460a39

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3f99893aab0f8f63bfb009448f0738b804e3d6253fc8b7d4db00a36a0841cbe1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-06-19T03:54:39Z",
    "title_canon_sha256": "c225e7ced308e59199edec2fc55cece63db02c86a323723c47b7e91cc48bf353"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.07033",
    "kind": "arxiv",
    "version": 1
  }
}