Pith Number

pith:67OGJ5SP

pith:2013:67OGJ5SPAB4FP6SHQR42CTIXDO

not attested not anchored not stored refs pending

Introduction to the hyperdeterminant and to the rank of multidimensional matrices

Giorgio Ottaviani

arxiv:1301.0472 v1 · 2013-01-03 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{67OGJ5SPAB4FP6SHQR42CTIXDO}

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	2026-05-18T03:37:19.524304Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f7dc64f64f007857fa478479a14d171b9febff48f63420364d2eca30e41a85a2

Aliases

arxiv: 1301.0472 · arxiv_version: 1301.0472v1 · doi: 10.48550/arxiv.1301.0472 · pith_short_12: 67OGJ5SPAB4F · pith_short_16: 67OGJ5SPAB4FP6SH · pith_short_8: 67OGJ5SP

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/67OGJ5SPAB4FP6SHQR42CTIXDO \
  | 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: f7dc64f64f007857fa478479a14d171b9febff48f63420364d2eca30e41a85a2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e61dbac560711d0343a1fd430dad7a80e68af9d4b77b46d9d66013d2eb595128",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-01-03T14:52:10Z",
    "title_canon_sha256": "2297e357bf14158e5e9296b2fc57ba431b70a6734f14f63b645a184b52699b7e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.0472",
    "kind": "arxiv",
    "version": 1
  }
}