Pith Number

pith:QJW2I4U5

pith:2018:QJW2I4U5JS3UNS2WASLEJJLWKQ

not attested not anchored not stored refs pending

Unit groups of maximal orders in totally definite quaternion algebras over real quadratic fields

Chia-Fu Yu, Jiangwei Xue, Qun Li

arxiv:1807.04736 v2 · 2018-07-12 · 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{QJW2I4U5JS3UNS2WASLEJJLWKQ}

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	2026-05-17T23:44:32.309266Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

826da4729d4cb746cb56049644a576541bbe50c37c47864bb1355aaf7b8c6d79

Aliases

arxiv: 1807.04736 · arxiv_version: 1807.04736v2 · doi: 10.48550/arxiv.1807.04736 · pith_short_12: QJW2I4U5JS3U · pith_short_16: QJW2I4U5JS3UNS2W · pith_short_8: QJW2I4U5

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/QJW2I4U5JS3UNS2WASLEJJLWKQ \
  | 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: 826da4729d4cb746cb56049644a576541bbe50c37c47864bb1355aaf7b8c6d79

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3d0b5ff6077880a216163b0742abb602cef171606e20fd7e9d7d2aabbdd8b284",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-07-12T17:22:10Z",
    "title_canon_sha256": "febaa787ae1ddb8d4548ad2cc1df9da8d70d5d265be2ac669dd43ef71f88b5a7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.04736",
    "kind": "arxiv",
    "version": 2
  }
}