Pith Number

pith:MXI5NWC7

pith:2019:MXI5NWC75ISWQCRXYK6CONPSHA

not attested not anchored not stored refs pending

Arbitrarily large $\mathcal{O}$-Morita Frobenius numbers

Michael Livesey

arxiv:1908.06680 v5 · 2019-08-19 · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MXI5NWC75ISWQCRXYK6CONPSHA}

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	2026-07-05T03:06:57.085728Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

65d1d6d85fea25680a37c2bc2735f23835732866090315bac5570c75783ddc34

Aliases

arxiv: 1908.06680 · arxiv_version: 1908.06680v5 · doi: 10.48550/arxiv.1908.06680 · pith_short_12: MXI5NWC75ISW · pith_short_16: MXI5NWC75ISWQCRX · pith_short_8: MXI5NWC7

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/MXI5NWC75ISWQCRXYK6CONPSHA \
  | 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: 65d1d6d85fea25680a37c2bc2735f23835732866090315bac5570c75783ddc34

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "964b4307d6f82ce61b1005e2f1f87f59707a4ccf42c2b4a1a8f13be58dcfdf9a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2019-08-19T10:10:16Z",
    "title_canon_sha256": "b798a458f087af9ef23554f9ee940d2db0a061441eff6b40a7f354ec916f13ef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.06680",
    "kind": "arxiv",
    "version": 5
  }
}