Pith Number

pith:53BHLFKM

pith:2011:53BHLFKMW3LPYZIGNLJWAYM3VS

not attested not anchored not stored refs pending

On Auslander-Reiten components of algebras without external short paths

Alicja Jaworska, Andrzej Skowro\'nski, Piotr Malicki

arxiv:1112.0852 v1 · 2011-12-05 · 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{53BHLFKMW3LPYZIGNLJWAYM3VS}

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	2026-05-18T04:04:16.652615Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eec275954cb6d6fc65066ad360619bacba63c00e685e4795e475a29a6cb9ed45

Aliases

arxiv: 1112.0852 · arxiv_version: 1112.0852v1 · doi: 10.48550/arxiv.1112.0852 · pith_short_12: 53BHLFKMW3LP · pith_short_16: 53BHLFKMW3LPYZIG · pith_short_8: 53BHLFKM

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/53BHLFKMW3LPYZIGNLJWAYM3VS \
  | 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: eec275954cb6d6fc65066ad360619bacba63c00e685e4795e475a29a6cb9ed45

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bdc5283460e21785069c787f869c2876698ffb9903b1f608ada8f3211481b06b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2011-12-05T07:39:12Z",
    "title_canon_sha256": "ce01a9cab33cf224fb52cde4491c88b32380d5ba120fe23890760e0286071415"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.0852",
    "kind": "arxiv",
    "version": 1
  }
}