Pith Number

pith:5QOA2WVK

pith:2018:5QOA2WVKOGDGH2PWJRF3CSOBSD

not attested not anchored not stored refs pending

Upper semi-Weyl and upper semi-Browder spectra of unbounded upper triangular operator matrices

Alatancang Chen, Qingmei Bai, Wurichaihu Bai

arxiv:1811.04181 v1 · 2018-11-10 · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5QOA2WVKOGDGH2PWJRF3CSOBSD}

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	2026-05-18T00:01:06.034781Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ec1c0d5aaa718663e9f64c4bb149c190d3c3b235b44ca89a48755c8be303f7c7

Aliases

arxiv: 1811.04181 · arxiv_version: 1811.04181v1 · doi: 10.48550/arxiv.1811.04181 · pith_short_12: 5QOA2WVKOGDG · pith_short_16: 5QOA2WVKOGDGH2PW · pith_short_8: 5QOA2WVK

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/5QOA2WVKOGDGH2PWJRF3CSOBSD \
  | 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: ec1c0d5aaa718663e9f64c4bb149c190d3c3b235b44ca89a48755c8be303f7c7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "95477c257abb56eb117453e651fb48432a7e69bc7055f3ac2fa67ea5e5ffabdb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2018-11-10T03:17:41Z",
    "title_canon_sha256": "24a5087ec068d5d3f0798389ba7221ea92e4719f6ea63bd3dcd6f555586615bd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.04181",
    "kind": "arxiv",
    "version": 1
  }
}