Pith Number

pith:HD5DA5S7

pith:2011:HD5DA5S7MGLMRKTO7FCPBMT3SR

not attested not anchored not stored refs pending

On the vanishing ideal of an algebraic toric set and its parameterized linear codes

Eliseo Sarmiento, Maria Vaz Pinto, Rafael H. Villarreal

arxiv:1107.4284 v2 · 2011-07-21 · math.AC · 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{HD5DA5S7MGLMRKTO7FCPBMT3SR}

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	2026-05-18T03:49:35.082292Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

38fa30765f6196c8aa6ef944f0b27b946a7cb1e184ec4f1364f8de510a5ad2d6

Aliases

arxiv: 1107.4284 · arxiv_version: 1107.4284v2 · doi: 10.48550/arxiv.1107.4284 · pith_short_12: HD5DA5S7MGLM · pith_short_16: HD5DA5S7MGLMRKTO · pith_short_8: HD5DA5S7

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/HD5DA5S7MGLMRKTO7FCPBMT3SR \
  | 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: 38fa30765f6196c8aa6ef944f0b27b946a7cb1e184ec4f1364f8de510a5ad2d6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7c71a5f4dd54d76f6616e89e9e7004c17207f6822df8843289ed99f2a4afd1f7",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2011-07-21T14:21:44Z",
    "title_canon_sha256": "0d2929584d18874f2965382f258fed049695ed39d0545a9671ff36a4b7f637a3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.4284",
    "kind": "arxiv",
    "version": 2
  }
}