Pith Number

pith:DZUF7B7P

pith:2013:DZUF7B7PHZXKPONWL2HRHCCYP4

not attested not anchored not stored refs pending

On complex power nonnegative matrices

C. Di Fiore, F. Tudisco, V. Cardinali

arxiv:1307.3109 v3 · 2013-07-11 · math.NA · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DZUF7B7PHZXKPONWL2HRHCCYP4}

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	2026-05-18T03:06:42.761496Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1e685f87ef3e6ea7b9b65e8f1388587f34a73463d7046855075c1a265ef856f5

Aliases

arxiv: 1307.3109 · arxiv_version: 1307.3109v3 · doi: 10.48550/arxiv.1307.3109 · pith_short_12: DZUF7B7PHZXK · pith_short_16: DZUF7B7PHZXKPONW · pith_short_8: DZUF7B7P

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/DZUF7B7PHZXKPONWL2HRHCCYP4 \
  | 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: 1e685f87ef3e6ea7b9b65e8f1388587f34a73463d7046855075c1a265ef856f5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "076bf725795c4dde5aab984e4d6692aa476d7dec920fe332544a7100551db041",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2013-07-11T13:51:02Z",
    "title_canon_sha256": "a0de20bd1f14e3922133da885b18a074b720fc6a748e12c8004300dde5ddd04c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.3109",
    "kind": "arxiv",
    "version": 3
  }
}