Pith Number

pith:GPUF45NL

pith:2016:GPUF45NLMIQOBNGGLTKRE5O6TZ

not attested not anchored not stored refs pending

Spectral Theorem for quaternionic normal operators: Multiplication form

G. Ramesh, P. Santhosh Kumar

arxiv:1603.00697 v2 · 2016-03-02 · math.SP · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GPUF45NLMIQOBNGGLTKRE5O6TZ}

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	2026-05-18T00:31:31.705028Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

33e85e75ab6220e0b4c65cd51275de9e69e9d44c3d76dde1bb03c858a387f628

Aliases

arxiv: 1603.00697 · arxiv_version: 1603.00697v2 · doi: 10.48550/arxiv.1603.00697 · pith_short_12: GPUF45NLMIQO · pith_short_16: GPUF45NLMIQOBNGG · pith_short_8: GPUF45NL

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/GPUF45NLMIQOBNGGLTKRE5O6TZ \
  | 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: 33e85e75ab6220e0b4c65cd51275de9e69e9d44c3d76dde1bb03c858a387f628

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "98a5c9bbe41a0f055e0ac7af095eb3f2f45c88bc690db955c7f6e731ea3ca06a",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2016-03-02T13:13:18Z",
    "title_canon_sha256": "bd540bdff783032ed93f5ac8aee7ccc3c9ca61d83dbcee2a5bf43d399ae4ce44"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.00697",
    "kind": "arxiv",
    "version": 2
  }
}