Pith Number

pith:LZMY7V7K

pith:2013:LZMY7V7KEYVV46UA5LQRXTHEDT

not attested not anchored not stored refs pending

Algebraic quotient modules and subgroup depth

A. Hernandez, C.J. Young, L.Kadison

arxiv:1306.0725 v5 · 2013-06-04 · 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{LZMY7V7KEYVV46UA5LQRXTHEDT}

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	2026-05-18T02:51:08.566615Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5e598fd7ea262b5e7a80eae11bcce41cd02e71baaad55a56e46a283e74935cf2

Aliases

arxiv: 1306.0725 · arxiv_version: 1306.0725v5 · doi: 10.48550/arxiv.1306.0725 · pith_short_12: LZMY7V7KEYVV · pith_short_16: LZMY7V7KEYVV46UA · pith_short_8: LZMY7V7K

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/LZMY7V7KEYVV46UA5LQRXTHEDT \
  | 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: 5e598fd7ea262b5e7a80eae11bcce41cd02e71baaad55a56e46a283e74935cf2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f07fec79a93d966f97f6ed70c1aa0b1ab45e03dbb2e283e610fd5adeb4d53015",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2013-06-04T10:27:30Z",
    "title_canon_sha256": "59de75d21c4b816fa821d40e75a104996c738521e7770114c27b0c372acc9a7d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.0725",
    "kind": "arxiv",
    "version": 5
  }
}