Pith Number

pith:TYERFPES

pith:2015:TYERFPES32OAMRBHKFM4LL5UVV

not attested not anchored not stored refs pending

The lattice of primary ideals of orders in quadratic number fields

Giulio Peruginelli, Paolo Zanardo

arxiv:1503.06033 v4 · 2015-03-20 · math.AC · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TYERFPES32OAMRBHKFM4LL5UVV}

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	2026-05-18T00:05:00.943145Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e0912bc92de9c0644275159c5afb4ad63404e400444506fe4d00da81a9deadc

Aliases

arxiv: 1503.06033 · arxiv_version: 1503.06033v4 · doi: 10.48550/arxiv.1503.06033 · pith_short_12: TYERFPES32OA · pith_short_16: TYERFPES32OAMRBH · pith_short_8: TYERFPES

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/TYERFPES32OAMRBHKFM4LL5UVV \
  | 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: 9e0912bc92de9c0644275159c5afb4ad63404e400444506fe4d00da81a9deadc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a24b10bbe2995d0f9280c7851d382e26b015d517930b1c33bfda15126df04f39",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2015-03-20T10:17:06Z",
    "title_canon_sha256": "e762cd68c90ddea9fd1d978b1874b5b15285d308254b75b211241035b212cfeb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.06033",
    "kind": "arxiv",
    "version": 4
  }
}