Pith Number

pith:5HQDPPG2

pith:2019:5HQDPPG2BODNWRHZQCWKQSXB5A

not attested not anchored not stored refs pending

Decomposable operators, local S-spectrum and S-spectrum in the quaternionic setting

B. Muraleetharan, K. Thirulogasanthar

arxiv:1905.05936 v1 · 2019-05-15 · math.FA · 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{5HQDPPG2BODNWRHZQCWKQSXB5A}

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	2026-05-17T23:46:02.854272Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e9e037bcda0b86db44f980aca84ae1e837747e835ab82df18f6ed6449eccd196

Aliases

arxiv: 1905.05936 · arxiv_version: 1905.05936v1 · doi: 10.48550/arxiv.1905.05936 · pith_short_12: 5HQDPPG2BODN · pith_short_16: 5HQDPPG2BODNWRHZ · pith_short_8: 5HQDPPG2

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/5HQDPPG2BODNWRHZQCWKQSXB5A \
  | 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: e9e037bcda0b86db44f980aca84ae1e837747e835ab82df18f6ed6449eccd196

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "15690499bc42b4c2c7c79d3a583de9ce406de85c7ed220b257f6c11a5d7a4f76",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2019-05-15T03:55:11Z",
    "title_canon_sha256": "b5021688c4318d8ad4f23ea3deb3f2d8e5cb91574e8fe6b033e2bca9f9643360"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.05936",
    "kind": "arxiv",
    "version": 1
  }
}