Pith Number

pith:CTDV5IVX

pith:2016:CTDV5IVXCZUOIWKIHCUUTEQ7UY

not attested not anchored not stored refs pending

Unbounded strongly irreducible operators and transitive representations of quivers on infinite-dimensional Hilbert spaces

Masatoshi Enomoto, Yasuo Watatani

arxiv:1603.07836 v1 · 2016-03-25 · math.FA · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CTDV5IVXCZUOIWKIHCUUTEQ7UY}

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	2026-05-18T01:18:17.702962Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

14c75ea2b71668e4594838a949921fa6048a04e7888d671ae09c427757e494c7

Aliases

arxiv: 1603.07836 · arxiv_version: 1603.07836v1 · doi: 10.48550/arxiv.1603.07836 · pith_short_12: CTDV5IVXCZUO · pith_short_16: CTDV5IVXCZUOIWKI · pith_short_8: CTDV5IVX

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/CTDV5IVXCZUOIWKIHCUUTEQ7UY \
  | 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: 14c75ea2b71668e4594838a949921fa6048a04e7888d671ae09c427757e494c7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c08b113c1ba92adb805cedfdc6069dd1973518a9b8994645a685247603e9c527",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-03-25T07:45:51Z",
    "title_canon_sha256": "225f32fd16f4ae54d2eb2368edc58a4394a8cb371d7b9e4f2fa63be888308966"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.07836",
    "kind": "arxiv",
    "version": 1
  }
}