Pith Number

pith:L7SWGHXE

pith:2013:L7SWGHXEIICIC6YN6G2QNN6A4U

not attested not anchored not stored refs pending

On the symmetric and Rees algebras of certain determinantal ideals

Kosuke Fukumuro

arxiv:1306.0993 v1 · 2013-06-05 · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{L7SWGHXEIICIC6YN6G2QNN6A4U}

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	2026-05-18T03:21:44.650345Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5fe5631ee44204817b0df1b506b7c0e50e0b7e510414fe8b1f8d27660b8702b0

Aliases

arxiv: 1306.0993 · arxiv_version: 1306.0993v1 · doi: 10.48550/arxiv.1306.0993 · pith_short_12: L7SWGHXEIICI · pith_short_16: L7SWGHXEIICIC6YN · pith_short_8: L7SWGHXE

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/L7SWGHXEIICIC6YN6G2QNN6A4U \
  | 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: 5fe5631ee44204817b0df1b506b7c0e50e0b7e510414fe8b1f8d27660b8702b0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ccec445bbfa5eb0ee20e549b8d2af11d0e1bf7bde22a29ac0760cb08e7118799",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2013-06-05T06:01:01Z",
    "title_canon_sha256": "c34f86f19ee5bed7a853136a135dfda80f313fbcc11ca18f52f41b2ee9f30b76"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.0993",
    "kind": "arxiv",
    "version": 1
  }
}