Pith Number

pith:OPZ5BLCT

pith:2003:OPZ5BLCTPAWWFPDXF7N54UYWSD

not attested not anchored not stored refs pending

Monogenous algebras. Back to Kronecker

Daniel Ferrand

arxiv:math/0310260 v1 · 2003-10-17 · 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{OPZ5BLCTPAWWFPDXF7N54UYWSD}

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

Quadratic Spaces and Orthogonal Groups over semilocal Rings

Receipt and verification

First computed	2026-07-04T14:37:48.423734Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

73f3d0ac53782d62bc772fdbde531690cf54dfbd1a254dbf3af97f67ecba711e

Aliases

arxiv: math/0310260 · arxiv_version: math/0310260v1 · doi: 10.48550/arxiv.math/0310260 · pith_short_12: OPZ5BLCTPAWW · pith_short_16: OPZ5BLCTPAWWFPDX · pith_short_8: OPZ5BLCT

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/OPZ5BLCTPAWWFPDXF7N54UYWSD \
  | 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: 73f3d0ac53782d62bc772fdbde531690cf54dfbd1a254dbf3af97f67ecba711e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7a354905d348edc9c90231dc4175dca4dd22b135feb5d8a33c230a8505934e7e",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "",
    "primary_cat": "math.AC",
    "submitted_at": "2003-10-17T10:04:15Z",
    "title_canon_sha256": "05ac964470e4d83e2c8246837808e19633098716c29c05807076d36ac1d14e84"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0310260",
    "kind": "arxiv",
    "version": 1
  }
}