Pith Number

pith:Q7N46EBZ

pith:2013:Q7N46EBZWQTP7EL4XXIHOI75XS

not attested not anchored not stored refs pending

Explicit formulas for determinantal representations of the Drazin inverse solutions of some matrix and differential matrix equations

Ivan Kyrchei

arxiv:1301.6605 v1 · 2013-01-28 · 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{Q7N46EBZWQTP7EL4XXIHOI75XS}

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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	2026-05-18T03:35:14.887605Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

87dbcf1039b426ff917cbdd07723fdbcb4b012353ae3cac826c6ace40100694a

Aliases

arxiv: 1301.6605 · arxiv_version: 1301.6605v1 · doi: 10.48550/arxiv.1301.6605 · pith_short_12: Q7N46EBZWQTP · pith_short_16: Q7N46EBZWQTP7EL4 · pith_short_8: Q7N46EBZ

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/Q7N46EBZWQTP7EL4XXIHOI75XS \
  | 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: 87dbcf1039b426ff917cbdd07723fdbcb4b012353ae3cac826c6ace40100694a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0187272fb619c75875c5aa6f291865ddbc1a94a1b3fcaac721ff637011f32bc5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2013-01-28T16:57:56Z",
    "title_canon_sha256": "fd57c5f9b0d7ba887732c8e298135cf97e6791b941cf2b478078fb36d13845a1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.6605",
    "kind": "arxiv",
    "version": 1
  }
}