Pith Number

pith:QMPZBLYN

pith:2013:QMPZBLYNA42ZIRPIQOQ4IRTH2S

not attested not anchored not stored refs pending

On the decay of the inverse of matrices that are sum of Kronecker products

Claudio Canuto, Marco Verani, Valeria Simoncini

arxiv:1312.6631 v1 · 2013-12-23 · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QMPZBLYNA42ZIRPIQOQ4IRTH2S}

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	2026-05-18T03:03:57.350091Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

831f90af0d07359445e883a1c44667d4b16a7ebae6b499493188d68621c9c145

Aliases

arxiv: 1312.6631 · arxiv_version: 1312.6631v1 · doi: 10.48550/arxiv.1312.6631 · pith_short_12: QMPZBLYNA42Z · pith_short_16: QMPZBLYNA42ZIRPI · pith_short_8: QMPZBLYN

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/QMPZBLYNA42ZIRPIQOQ4IRTH2S \
  | 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: 831f90af0d07359445e883a1c44667d4b16a7ebae6b499493188d68621c9c145

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "91e618d71a436ba1e0055096557b91c4c7cef4669aa1ddeff484bdaa1ba1d17b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2013-12-23T18:23:21Z",
    "title_canon_sha256": "5ca71f29e1f8a928da7c028822526258596c44986e3ee14ba5e8594c550e5d98"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.6631",
    "kind": "arxiv",
    "version": 1
  }
}