Pith Number

pith:W6X4F6K4

pith:2013:W6X4F6K4B7LFR2JGYDE5I3FFOU

not attested not anchored not stored refs pending

Strongly irreducible operators and indecomposable representations of quivers on infinite-dimensional Hilbert spaces

Masatoshi Enomoto, Yasuo Watatani

arxiv:1303.2485 v1 · 2013-03-11 · math.OA · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{W6X4F6K4B7LFR2JGYDE5I3FFOU}

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	2026-05-18T03:31:18.904895Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b7afc2f95c0fd658e926c0c9d46ca575112fa969e37b2b04ec0d81088eed1380

Aliases

arxiv: 1303.2485 · arxiv_version: 1303.2485v1 · doi: 10.48550/arxiv.1303.2485 · pith_short_12: W6X4F6K4B7LF · pith_short_16: W6X4F6K4B7LFR2JG · pith_short_8: W6X4F6K4

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/W6X4F6K4B7LFR2JGYDE5I3FFOU \
  | 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: b7afc2f95c0fd658e926c0c9d46ca575112fa969e37b2b04ec0d81088eed1380

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "90bfa946d76386af24787ca141fd79b01aa7ba5492ce0422ef496aec3ba53adb",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2013-03-11T11:14:10Z",
    "title_canon_sha256": "9c4723e20fc4d7bc49803e181c8a6dc44509891937af64425a661dd14b474549"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.2485",
    "kind": "arxiv",
    "version": 1
  }
}