Pith Number

pith:LK5XUXVW

pith:2013:LK5XUXVWZBVZSQ5LPDSZ4PNJ4K

not attested not anchored not stored refs pending

Recollements of Module Categories

Chrysostomos Psaroudakis, Jorge Vitoria

arxiv:1304.2692 v1 · 2013-04-09 · math.RT · math.CT · 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{LK5XUXVWZBVZSQ5LPDSZ4PNJ4K}

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	2026-05-18T03:28:31.045899Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5abb7a5eb6c86b9943ab78e59e3da9e2941b913fcf4fc22b51103fe7fc7a43e4

Aliases

arxiv: 1304.2692 · arxiv_version: 1304.2692v1 · doi: 10.48550/arxiv.1304.2692 · pith_short_12: LK5XUXVWZBVZ · pith_short_16: LK5XUXVWZBVZSQ5L · pith_short_8: LK5XUXVW

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/LK5XUXVWZBVZSQ5LPDSZ4PNJ4K \
  | 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: 5abb7a5eb6c86b9943ab78e59e3da9e2941b913fcf4fc22b51103fe7fc7a43e4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "744a1fad3a1b8ad3adc5ce7dafc7956c2ec4496fdb83bc7e1dd0b299a5372000",
    "cross_cats_sorted": [
      "math.CT",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2013-04-09T18:38:10Z",
    "title_canon_sha256": "f9e88b340092989bed924b526701eb70c3acf4441d80177b491af1d1e395721a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.2692",
    "kind": "arxiv",
    "version": 1
  }
}