pith. sign in
Pith Number

pith:D6V2CHJA

pith:2018:D6V2CHJAWCKIBG6CX4R6KS6DSK
not attested not anchored not stored refs pending

Spectrum and fine spectrum of generalised lower triangular triple band matrices over the sequence space $l_p$

Arnab Patra, P. D. Srivastava

arxiv:1812.06332 v1 · 2018-12-15 · math.FA

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{D6V2CHJAWCKIBG6CX4R6KS6DSK}

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 2026-05-17T23:58:10.527821Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

1faba11d20b094809bc2bf23e54bc392a03afb4689e29488eca50dbc0e5d8fc6

Aliases

arxiv: 1812.06332 · arxiv_version: 1812.06332v1 · doi: 10.48550/arxiv.1812.06332 · pith_short_12: D6V2CHJAWCKI · pith_short_16: D6V2CHJAWCKIBG6C · pith_short_8: D6V2CHJA
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/D6V2CHJAWCKIBG6CX4R6KS6DSK \
  | 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: 1faba11d20b094809bc2bf23e54bc392a03afb4689e29488eca50dbc0e5d8fc6
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "74a3c8b284aa13bc8edfd41769a296e213fb3d1d73e13e334980764702e4ac3f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-12-15T18:24:54Z",
    "title_canon_sha256": "9f3a56ef0364698f3f2b031b9c6580c90686822cd66cc1bd7b226be83f10ff5e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.06332",
    "kind": "arxiv",
    "version": 1
  }
}