Pith Number

pith:GZRJBCBH

pith:2017:GZRJBCBHQFHLDY2KOOYIY4ZN4N

not attested not anchored not stored refs pending

S-Spectrum and the quaternionic Cayley transform of an operator

B. Muraleetharan, I. Sabadini, K. Thirulogasanthar

arxiv:1705.05240 v2 · 2017-05-12 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GZRJBCBHQFHLDY2KOOYIY4ZN4N}

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	2026-05-18T00:26:57.227635Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3662908827814eb1e34a73b08c732de3439588df93a9e8111e2e318365e26856

Aliases

arxiv: 1705.05240 · arxiv_version: 1705.05240v2 · doi: 10.48550/arxiv.1705.05240 · pith_short_12: GZRJBCBHQFHL · pith_short_16: GZRJBCBHQFHLDY2K · pith_short_8: GZRJBCBH

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/GZRJBCBHQFHLDY2KOOYIY4ZN4N \
  | 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: 3662908827814eb1e34a73b08c732de3439588df93a9e8111e2e318365e26856

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7a2aabd64dbfb3576311ee7a21487f909c13220e88f36028d1c7bd0aaf98e6c8",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2017-05-12T12:28:01Z",
    "title_canon_sha256": "9d053d9eee0d6a8eef7d57fa0dd97f5e345cbc4ca1f24e1f370c109cad7c38a3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.05240",
    "kind": "arxiv",
    "version": 2
  }
}