Pith Number

pith:I3EFWD5K

pith:2019:I3EFWD5KQJO3POCZK242CU7LTB

not attested not anchored not stored refs pending

On monoids of ideals of orders in quadratic number fields

Alfred Geroldinger, Andreas Reinhart, Johannes Brantner

arxiv:1901.04528 v2 · 2019-01-14 · 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{I3EFWD5KQJO3POCZK242CU7LTB}

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	2026-05-17T23:42:42.516060Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

46c85b0faa825db7b85956b9a153eb9872c5fd13cdcd04aac6b428c4db190d54

Aliases

arxiv: 1901.04528 · arxiv_version: 1901.04528v2 · doi: 10.48550/arxiv.1901.04528 · pith_short_12: I3EFWD5KQJO3 · pith_short_16: I3EFWD5KQJO3POCZ · pith_short_8: I3EFWD5K

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/I3EFWD5KQJO3POCZK242CU7LTB \
  | 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: 46c85b0faa825db7b85956b9a153eb9872c5fd13cdcd04aac6b428c4db190d54

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "afb428e6d7126379f037b6fe3b5fd4923ce572539131a930997f9481e33be8f5",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2019-01-14T19:23:53Z",
    "title_canon_sha256": "17141b6e268de16b4d3666f3ebb3c99a7e5551bde5af1a1337f20e0b1a90c0e0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.04528",
    "kind": "arxiv",
    "version": 2
  }
}