Pith Number

pith:FNMQLV4L

pith:2022:FNMQLV4L3K4JR4ZF2SE2LNSM72

not attested not anchored not stored refs pending

Ideal classes of orders in quaternion algebras

Harry Smit, Stefano Marseglia

arxiv:2211.13156 v3 · 2022-11-23 · math.NT · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FNMQLV4L3K4JR4ZF2SE2LNSM72}

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	2026-07-05T10:20:34.317157Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b5905d78bdab898f325d489a5b64cfebbd499b518016223ea3d4f60c15ecb58

Aliases

arxiv: 2211.13156 · arxiv_version: 2211.13156v3 · doi: 10.48550/arxiv.2211.13156 · pith_short_12: FNMQLV4L3K4J · pith_short_16: FNMQLV4L3K4JR4ZF · pith_short_8: FNMQLV4L

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/FNMQLV4L3K4JR4ZF2SE2LNSM72 \
  | 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: 2b5905d78bdab898f325d489a5b64cfebbd499b518016223ea3d4f60c15ecb58

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "111148a1ef02caf8fb3b323e8d0ed4ee5d4e8a01aefdff3dde682bd17921445e",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2022-11-23T17:32:10Z",
    "title_canon_sha256": "e31867a2bca14e3e1968eb505f1ff911022229305c5eb4342eef83f87c23ce53"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2211.13156",
    "kind": "arxiv",
    "version": 3
  }
}