Pith Number

pith:HIOEXY2U

pith:2014:HIOEXY2UFTDISAGYCCFCBHS2RD

not attested not anchored not stored refs pending

On the structure of quaternion rings over $\mathbb{Z}/n \mathbb{Z}$

Antonio Oller-Marcen, Celino Miquel, Jose Maria Grau

arxiv:1402.0956 v2 · 2014-02-05 · 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{HIOEXY2UFTDISAGYCCFCBHS2RD}

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	2026-05-18T02:59:20.194645Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3a1c4be3542cc68900d8108a209e5a88db282441344e17652f3b316ad51c3c93

Aliases

arxiv: 1402.0956 · arxiv_version: 1402.0956v2 · doi: 10.48550/arxiv.1402.0956 · pith_short_12: HIOEXY2UFTDI · pith_short_16: HIOEXY2UFTDISAGY · pith_short_8: HIOEXY2U

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/HIOEXY2UFTDISAGYCCFCBHS2RD \
  | 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: 3a1c4be3542cc68900d8108a209e5a88db282441344e17652f3b316ad51c3c93

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "af7ebf00a1390758ee47716728a5fa216d68a88a399cf3f32a117cb123ee5cc2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2014-02-05T07:20:55Z",
    "title_canon_sha256": "a42f507a501a7384c8532fc0af3f262eee970c5e8fd1d6746d19692f5b06e340"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.0956",
    "kind": "arxiv",
    "version": 2
  }
}