Pith Number

pith:DD3F2JSV

pith:2022:DD3F2JSVXHHP5CAF6QEKWATEEV

not attested not anchored not stored refs pending

The integral closure of a primary ideal is not always primary

Lihong Zhi, Nan Li, Zhi-hong Yang, Zijia Li

arxiv:2210.16824 v3 · 2022-10-30 · 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{DD3F2JSVXHHP5CAF6QEKWATEEV}

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	2026-07-05T05:16:37.668562Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

18f65d2655b9cefe8805f408ab026425749e9cf8e7cab6e3e54a73065ec376bc

Aliases

arxiv: 2210.16824 · arxiv_version: 2210.16824v3 · doi: 10.48550/arxiv.2210.16824 · pith_short_12: DD3F2JSVXHHP · pith_short_16: DD3F2JSVXHHP5CAF · pith_short_8: DD3F2JSV

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/DD3F2JSVXHHP5CAF6QEKWATEEV \
  | 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: 18f65d2655b9cefe8805f408ab026425749e9cf8e7cab6e3e54a73065ec376bc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "36ed42204f6701d55a97b79fca69104b899d1a6a84dbe79822a83dea83188cda",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2022-10-30T12:24:16Z",
    "title_canon_sha256": "d3f8fcb2f557071a7dfa6928a14e25ba48f46662c43f7073f808a159fa28684e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2210.16824",
    "kind": "arxiv",
    "version": 3
  }
}