Pith Number

pith:QHQS2EQ2

pith:2022:QHQS2EQ2NKHFIESNXPTDB73QBF

not attested not anchored not stored refs pending

Divisibility and a weak ascending chain condition on principal ideals

Bangzheng Li, Felix Gotti

arxiv:2212.06213 v1 · 2022-12-12 · 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{QHQS2EQ2NKHFIESNXPTDB73QBF}

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.

Cited by

1 paper in Pith

On near atomicity and a characterization of the FF property

Receipt and verification

First computed	2026-07-05T05:24:47.793393Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

81e12d121a6a8e54124dbbe630ff70097abb6251cdf98e58560518acfcf916e0

Aliases

arxiv: 2212.06213 · arxiv_version: 2212.06213v1 · doi: 10.48550/arxiv.2212.06213 · pith_short_12: QHQS2EQ2NKHF · pith_short_16: QHQS2EQ2NKHFIESN · pith_short_8: QHQS2EQ2

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/QHQS2EQ2NKHFIESNXPTDB73QBF \
  | 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: 81e12d121a6a8e54124dbbe630ff70097abb6251cdf98e58560518acfcf916e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d5e114db8dd85b7385eae42dbb0eedd29d4f7e3d2139d2713b313c4cb08ed242",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2022-12-12T19:52:07Z",
    "title_canon_sha256": "061a14b9c2b77ebf2bd2b44f1848c228d0795d8f8715fcceea701ca8814a3719"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2212.06213",
    "kind": "arxiv",
    "version": 1
  }
}