Pith Number

pith:HSCAJZRQ

pith:2009:HSCAJZRQ3TZSLV2RJHLNCAPSSB

not attested not anchored not stored refs pending

Characterizing quaternion rings over an arbitrary base

John Voight

arxiv:0904.4310 v5 · 2009-04-28 · 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{HSCAJZRQ3TZSLV2RJHLNCAPSSB}

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	2026-05-18T04:23:54.601085Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3c8404e630dcf325d75149d6d101f29066a5080df05e4d39e5a58580c1a92f2b

Aliases

arxiv: 0904.4310 · arxiv_version: 0904.4310v5 · doi: 10.48550/arxiv.0904.4310 · pith_short_12: HSCAJZRQ3TZS · pith_short_16: HSCAJZRQ3TZSLV2R · pith_short_8: HSCAJZRQ

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/HSCAJZRQ3TZSLV2RJHLNCAPSSB \
  | 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: 3c8404e630dcf325d75149d6d101f29066a5080df05e4d39e5a58580c1a92f2b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a12a838ee90d52a11c473c3b50db7a9c77fbca8c3ba272187e753993e592fbda",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2009-04-28T05:41:36Z",
    "title_canon_sha256": "5d385d0a391b05b313fc8daa2f3336687b992934d987c50c11d3c3689de88cd4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0904.4310",
    "kind": "arxiv",
    "version": 5
  }
}