Pith Number

pith:3ACLUDGH

pith:2013:3ACLUDGHMEPTDOOWK43LGLHPOS

not attested not anchored not stored refs pending

The lattice of submodules of a multiplicity free module

Ian M. Musson

arxiv:1310.4083 v1 · 2013-10-15 · 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{3ACLUDGHMEPTDOOWK43LGLHPOS}

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	2026-05-18T03:10:25.118515Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d804ba0cc7611f31b9d65736b32cef7492b5e38757963361a0ed2288d9615fdb

Aliases

arxiv: 1310.4083 · arxiv_version: 1310.4083v1 · doi: 10.48550/arxiv.1310.4083 · pith_short_12: 3ACLUDGHMEPT · pith_short_16: 3ACLUDGHMEPTDOOW · pith_short_8: 3ACLUDGH

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/3ACLUDGHMEPTDOOWK43LGLHPOS \
  | 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: d804ba0cc7611f31b9d65736b32cef7492b5e38757963361a0ed2288d9615fdb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "24860a2e75aec79cdd008326b6a8dc56b1d3838b27521a432074030700f18b96",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2013-10-15T15:26:53Z",
    "title_canon_sha256": "1bbaf055b6a59877995f305a26666b00d2b4c32d18885f877d87840a32efee1b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.4083",
    "kind": "arxiv",
    "version": 1
  }
}