Pith Number

pith:RQEXFCI5

pith:2013:RQEXFCI5IQIFESZ54FS3O476HT

not attested not anchored not stored refs pending

Koszul determinantal rings and $2\times e$ matrices of linear forms

Hop D. Nguyen, Phong Dinh Thieu, Thanh Vu

arxiv:1309.4698 v4 · 2013-09-18 · math.AC · 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{RQEXFCI5IQIFESZ54FS3O476HT}

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	2026-05-18T02:49:31.734388Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8c0972891d4410524b3de165b773fe3cee443fc2256404ee4ccfd6a09fdc0268

Aliases

arxiv: 1309.4698 · arxiv_version: 1309.4698v4 · doi: 10.48550/arxiv.1309.4698 · pith_short_12: RQEXFCI5IQIF · pith_short_16: RQEXFCI5IQIFESZ5 · pith_short_8: RQEXFCI5

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/RQEXFCI5IQIFESZ54FS3O476HT \
  | 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: 8c0972891d4410524b3de165b773fe3cee443fc2256404ee4ccfd6a09fdc0268

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ee1c7571355c9fa9802bf42e72f69163edd6ab8a47491403f63a71f3e1487ee6",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2013-09-18T16:36:53Z",
    "title_canon_sha256": "abafbf4d84b58f022f42d399ac22c3e229a4b208f3c18397b167ad8332772bc4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.4698",
    "kind": "arxiv",
    "version": 4
  }
}