Pith Number

pith:L526OERY

pith:2013:L526OERYXIICIOSG6YH5MOLBFW

not attested not anchored not stored refs pending

Noncommutative determinants, Cauchy-Binet formulae, and Capelli-type identities II. Grassmann and quantum oscillator algebra representation

Andrea Sportiello, Sergio Caracciolo

arxiv:1309.7916 v2 · 2013-09-30 · math.QA · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{L526OERYXIICIOSG6YH5MOLBFW}

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	2026-05-18T02:48:17.596188Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f75e71238ba10243a46f60fd639612d81587f5ea39a3380f21a577ae2875731

Aliases

arxiv: 1309.7916 · arxiv_version: 1309.7916v2 · doi: 10.48550/arxiv.1309.7916 · pith_short_12: L526OERYXIIC · pith_short_16: L526OERYXIICIOSG · pith_short_8: L526OERY

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/L526OERYXIICIOSG6YH5MOLBFW \
  | 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: 5f75e71238ba10243a46f60fd639612d81587f5ea39a3380f21a577ae2875731

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8025c7ddafe5729cd3721fb1cc607c237a625a9e53eac8bea6519184751c1a7d",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2013-09-30T16:57:17Z",
    "title_canon_sha256": "75b96682e5a71fb5767c4d8b717654c6f122201b69d4ea4b3af933deeeb441fa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.7916",
    "kind": "arxiv",
    "version": 2
  }
}