Pith Number

pith:F53E36MJ

pith:2017:F53E36MJ5BXOOBXW6GQTIKELCN

not attested not anchored not stored refs pending

Generalized Quaternion Rings over $\mathbb{Z}/n\mathbb{Z}$ for an odd $n$

A.M. Oller-Marc\'en, C. Miguel, J.M. Grau

arxiv:1706.04760 v1 · 2017-06-15 · 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{F53E36MJ5BXOOBXW6GQTIKELCN}

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	2026-05-18T00:42:19.243841Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f764df989e86ee706f6f1a134288b13744166cc8374e9e515ddb3390e320923

Aliases

arxiv: 1706.04760 · arxiv_version: 1706.04760v1 · doi: 10.48550/arxiv.1706.04760 · pith_short_12: F53E36MJ5BXO · pith_short_16: F53E36MJ5BXOOBXW · pith_short_8: F53E36MJ

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/F53E36MJ5BXOOBXW6GQTIKELCN \
  | 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: 2f764df989e86ee706f6f1a134288b13744166cc8374e9e515ddb3390e320923

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3a6b42940e7e19173ce18c8fb3a077efe0b2bc7ac169a8e2e252c650e60219c6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2017-06-15T07:48:12Z",
    "title_canon_sha256": "73407378fe3d7e4fff8a977701fe6928d42a6bfd0fc3130cf1420d9afb2f3b90"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.04760",
    "kind": "arxiv",
    "version": 1
  }
}