Pith Number

pith:WCBTC3CA

pith:2012:WCBTC3CA5SNSNKHOLMFBA2CGWS

not attested not anchored not stored refs pending

Fischer type determinantal inequalities for accretive-dissipative matrices

Minghua Lin

arxiv:1209.4949 v2 · 2012-09-22 · 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{WCBTC3CA5SNSNKHOLMFBA2CGWS}

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	2026-05-18T03:41:04.152383Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b083316c40ec9b26a8ee5b0a106846b4b4dda7aabd44411c23b167a7ef1a4611

Aliases

arxiv: 1209.4949 · arxiv_version: 1209.4949v2 · doi: 10.48550/arxiv.1209.4949 · pith_short_12: WCBTC3CA5SNS · pith_short_16: WCBTC3CA5SNSNKHO · pith_short_8: WCBTC3CA

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/WCBTC3CA5SNSNKHOLMFBA2CGWS \
  | 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: b083316c40ec9b26a8ee5b0a106846b4b4dda7aabd44411c23b167a7ef1a4611

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2d3f7a3a14642f7a2fa4f558223656cc7c2c1dcef06f9a0b4b560f851c1754f4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-09-22T01:09:30Z",
    "title_canon_sha256": "06c29c35336aa0429eb395ee33308803181de1ba5b2a105d9606ad6e6e60c40e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.4949",
    "kind": "arxiv",
    "version": 2
  }
}