Pith Number

pith:EJUPYNTE

pith:2013:EJUPYNTEI3RKSHBGLXQD2MSGX6

not attested not anchored not stored refs pending

Minimal Generating Sets of Lattice Ideals

Apostolos Thoma, Hara Charalambous, Marius Vladoiu

arxiv:1303.2303 v4 · 2013-03-10 · math.AC · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EJUPYNTEI3RKSHBGLXQD2MSGX6}

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	2026-05-18T00:52:29.522450Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2268fc366446e2a91c265de03d3246bfbf22bef14f4c42c6d5656080d6a44613

Aliases

arxiv: 1303.2303 · arxiv_version: 1303.2303v4 · doi: 10.48550/arxiv.1303.2303 · pith_short_12: EJUPYNTEI3RK · pith_short_16: EJUPYNTEI3RKSHBG · pith_short_8: EJUPYNTE

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/EJUPYNTEI3RKSHBGLXQD2MSGX6 \
  | 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: 2268fc366446e2a91c265de03d3246bfbf22bef14f4c42c6d5656080d6a44613

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6080d6d89001f3e89d11201d6c72fcc8cc4709ee512f5dba29bfa1dddde67272",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2013-03-10T09:59:02Z",
    "title_canon_sha256": "b8a31523bd6af11d7261752f9969e03b2f78afe83f6f9cfab3d94713c65c4159"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.2303",
    "kind": "arxiv",
    "version": 4
  }
}