Pith Number

pith:4TJPJ64X

pith:2013:4TJPJ64XMIK7E3SD2WSJOL7LJP

not attested not anchored not stored refs pending

On the Equality of Ordinary and Symbolic Powers of Ideals

Aline Hosry, Javid Validashti, Youngsu Kim

arxiv:1304.5833 v1 · 2013-04-22 · 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{4TJPJ64XMIK7E3SD2WSJOL7LJP}

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	2026-05-18T03:27:23.976795Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e4d2f4fb976215f26e43d5a4972feb4be92ac84c3b35b13ef2cb7edb423392a4

Aliases

arxiv: 1304.5833 · arxiv_version: 1304.5833v1 · doi: 10.48550/arxiv.1304.5833 · pith_short_12: 4TJPJ64XMIK7 · pith_short_16: 4TJPJ64XMIK7E3SD · pith_short_8: 4TJPJ64X

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/4TJPJ64XMIK7E3SD2WSJOL7LJP \
  | 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: e4d2f4fb976215f26e43d5a4972feb4be92ac84c3b35b13ef2cb7edb423392a4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fa408c300117b9af30d25cfca06c194e7204110ba395a4e95af7f6279e66e676",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2013-04-22T04:40:16Z",
    "title_canon_sha256": "5059d7a3ce6f821e719bddeeb1e24464adf345abcf190d0d6d998d2b43058c67"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.5833",
    "kind": "arxiv",
    "version": 1
  }
}