Pith Number

pith:SDHRQ46I

pith:2011:SDHRQ46IAOFRG5SPUXRQLLFRKX

not attested not anchored not stored refs pending

A Compound Determinant Identity for Rectangular Matrices

Masahiko Ito, Masao Ishikawa, Soichi Okada

arxiv:1106.2915 v1 · 2011-06-15 · math.CO · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SDHRQ46IAOFRG5SPUXRQLLFRKX}

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	2026-05-18T04:19:55.353874Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

90cf1873c8038b13764fa5e305acb155f35fc55d815588cce0f15ea424a20859

Aliases

arxiv: 1106.2915 · arxiv_version: 1106.2915v1 · doi: 10.48550/arxiv.1106.2915 · pith_short_12: SDHRQ46IAOFR · pith_short_16: SDHRQ46IAOFRG5SP · pith_short_8: SDHRQ46I

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/SDHRQ46IAOFRG5SPUXRQLLFRKX \
  | 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: 90cf1873c8038b13764fa5e305acb155f35fc55d815588cce0f15ea424a20859

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f8228d6cd06c7c189c8fefb6308f28d4cd493f4227c37e77c329c9656e92fd83",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-06-15T09:39:14Z",
    "title_canon_sha256": "120e5dee2c61f853c6415581b217a7796c80481c02c1da92520f841f033f1963"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.2915",
    "kind": "arxiv",
    "version": 1
  }
}