Pith Number

pith:FMIJWZVU

pith:2005:FMIJWZVUJT2LXBNIOHAT4CNTLY

not attested not anchored not stored refs pending

Abelian subgroup structure of square complex groups and arithmetic of quaternions

Diego Rattaggi, Guyan Robertson

arxiv:math/0501122 v1 · 2005-01-09 · math.GR · math.GT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FMIJWZVUJT2LXBNIOHAT4CNTLY}

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	2026-05-18T03:32:45.945442Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b109b66b44cf4bb85a871c13e09b35e0fa96a02f44a6f196f4ebd5caf6facd3

Aliases

arxiv: math/0501122 · arxiv_version: math/0501122v1 · doi: 10.48550/arxiv.math/0501122 · pith_short_12: FMIJWZVUJT2L · pith_short_16: FMIJWZVUJT2LXBNI · pith_short_8: FMIJWZVU

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/FMIJWZVUJT2LXBNIOHAT4CNTLY \
  | 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: 2b109b66b44cf4bb85a871c13e09b35e0fa96a02f44a6f196f4ebd5caf6facd3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a4455f4b1d682ba4e315c16e124e4490860663e1c91f2f9c3962876b0370d6b8",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "",
    "primary_cat": "math.GR",
    "submitted_at": "2005-01-09T14:17:57Z",
    "title_canon_sha256": "ce06d0ad2dd9f35ed538b384d83905f8523a3994c4e6d1ec00adc6beb8f9d46f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0501122",
    "kind": "arxiv",
    "version": 1
  }
}