Pith Number

pith:LJT2AN53

pith:2007:LJT2AN53JDW3BCHOPG6OABYQT5

not attested not anchored not stored refs pending

Indecomposable representations of quivers on infinite-dimensional Hilbert spaces

Masatoshi Enomoto, Yasuo Watatani

arxiv:0707.0966 v2 · 2007-07-06 · math.OA · 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{LJT2AN53JDW3BCHOPG6OABYQT5}

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	2026-07-04T15:02:39.264604Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a67a037bb48edb088ee79bce007109f7fbe30b5c53c17d3d73935fc9450dd95

Aliases

arxiv: 0707.0966 · arxiv_version: 0707.0966v2 · doi: 10.48550/arxiv.0707.0966 · pith_short_12: LJT2AN53JDW3 · pith_short_16: LJT2AN53JDW3BCHO · pith_short_8: LJT2AN53

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/LJT2AN53JDW3BCHOPG6OABYQT5 \
  | 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: 5a67a037bb48edb088ee79bce007109f7fbe30b5c53c17d3d73935fc9450dd95

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "70140de4a10c1c2d7664fdc6a830dd762b1b142b6f65701d3ea3b60596850aa5",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "",
    "primary_cat": "math.OA",
    "submitted_at": "2007-07-06T13:45:45Z",
    "title_canon_sha256": "c73ef44b17cf9fbf42deea89dd5cd15da0ac26da55df7525a8b15791b0747e35"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0707.0966",
    "kind": "arxiv",
    "version": 2
  }
}