Pith Number

pith:ZMBOWMV5

pith:2013:ZMBOWMV5WG2GOX3WVVA73E7TZA

not attested not anchored not stored refs pending

Many toric ideals generated by quadratic binomials possess no quadratic Gr\"obner bases

Akihiro Shikama, Hidefumi Ohsugi, Kenta Nishiyama, Takayuki Hibi

arxiv:1302.0207 v2 · 2013-02-01 · 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{ZMBOWMV5WG2GOX3WVVA73E7TZA}

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	2026-05-18T02:51:57.179341Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb02eb32bdb1b4675f76ad41fd93f3c839a11b0f1fd270dd425f64c804acea39

Aliases

arxiv: 1302.0207 · arxiv_version: 1302.0207v2 · doi: 10.48550/arxiv.1302.0207 · pith_short_12: ZMBOWMV5WG2G · pith_short_16: ZMBOWMV5WG2GOX3W · pith_short_8: ZMBOWMV5

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/ZMBOWMV5WG2GOX3WVVA73E7TZA \
  | 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: cb02eb32bdb1b4675f76ad41fd93f3c839a11b0f1fd270dd425f64c804acea39

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d92f4eb37560279f2975f7814225e8c42226f0f8b9fa2c7a5879e64ca79dfb79",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2013-02-01T15:19:05Z",
    "title_canon_sha256": "e97236a67d80062af8673549b430b604f80211c44d266a7f857c53f484a47f2f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.0207",
    "kind": "arxiv",
    "version": 2
  }
}