Pith Number

pith:BHITRGFO

pith:2012:BHITRGFOIIYUGHUGDJNPVVA543

not attested not anchored not stored refs pending

The dimensions of the homomorphism spaces to indecomposable modules over the four subspace algebra

Andrzej Mr\'oz

arxiv:1207.2081 v1 · 2012-07-09 · math.RT · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BHITRGFOIIYUGHUGDJNPVVA543}

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	2026-05-18T03:51:26.139878Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

09d13898ae4231431e861a5afad41de6d72716d8f28e3afb129e06fcc70f79aa

Aliases

arxiv: 1207.2081 · arxiv_version: 1207.2081v1 · doi: 10.48550/arxiv.1207.2081 · pith_short_12: BHITRGFOIIYU · pith_short_16: BHITRGFOIIYUGHUG · pith_short_8: BHITRGFO

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/BHITRGFOIIYUGHUGDJNPVVA543 \
  | 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: 09d13898ae4231431e861a5afad41de6d72716d8f28e3afb129e06fcc70f79aa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cad5a1de9c080199504b013cae8d7585c053fa2a18c7856e9d1e526e304e9f6c",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2012-07-09T15:41:22Z",
    "title_canon_sha256": "c2ae5be83405c4d95e2a56f7c0ed3717c16ca4deeed5c99852d47f29eca0143f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.2081",
    "kind": "arxiv",
    "version": 1
  }
}