Pith Number

pith:ZQI4I7L2

pith:2015:ZQI4I7L2OSYRDGYKJET2NVKYMM

not attested not anchored not stored refs pending

Combinatorial characterizations of the saturation and the associated primes of the fourth power of edge ideals

Ha Minh Lam, Ha Thi Thu Hien

arxiv:1503.02396 v1 · 2015-03-09 · 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{ZQI4I7L2OSYRDGYKJET2NVKYMM}

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	2026-05-18T02:25:25.230333Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cc11c47d7a74b1119b0a4927a6d558631541c43db807eb88bfca9b262d10fcde

Aliases

arxiv: 1503.02396 · arxiv_version: 1503.02396v1 · doi: 10.48550/arxiv.1503.02396 · pith_short_12: ZQI4I7L2OSYR · pith_short_16: ZQI4I7L2OSYRDGYK · pith_short_8: ZQI4I7L2

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/ZQI4I7L2OSYRDGYKJET2NVKYMM \
  | 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: cc11c47d7a74b1119b0a4927a6d558631541c43db807eb88bfca9b262d10fcde

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "416f287ffd89c6a458ee25fcda580d6076c446320be52110bf16dc63cdd7aa90",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2015-03-09T08:51:13Z",
    "title_canon_sha256": "ef2b80db923bf3b6132fe61370bf24b289725e395c0683be1dd3aa72bee2018b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.02396",
    "kind": "arxiv",
    "version": 1
  }
}