Pith Number

pith:Q7QRGXBP

pith:2014:Q7QRGXBP7OGVFADQDYSJ7XV4IE

not attested not anchored not stored refs pending

Simple Spectral Bounds for Sums of Certain Kronecker Products

Sergey V Lototsky

arxiv:1404.4361 v1 · 2014-04-15 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Q7QRGXBP7OGVFADQDYSJ7XV4IE}

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	2026-05-18T02:54:04.509735Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

87e1135c2ffb8d5280701e249fdebc410e5cf5a48ecf9d3f387ad64f9e09869b

Aliases

arxiv: 1404.4361 · arxiv_version: 1404.4361v1 · doi: 10.48550/arxiv.1404.4361 · pith_short_12: Q7QRGXBP7OGV · pith_short_16: Q7QRGXBP7OGVFADQ · pith_short_8: Q7QRGXBP

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/Q7QRGXBP7OGVFADQDYSJ7XV4IE \
  | 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: 87e1135c2ffb8d5280701e249fdebc410e5cf5a48ecf9d3f387ad64f9e09869b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1e353eba321bc7e24c79832a9e690a13120af62e9b2725f7f9b5aa4d8c8be894",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-04-15T20:01:01Z",
    "title_canon_sha256": "3b1294d211e1bf623205d34a86c276ebe34d0041713f470b89090cd0105724b0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.4361",
    "kind": "arxiv",
    "version": 1
  }
}