Pith Number

pith:O4BL43CV

pith:2018:O4BL43CV4YZ5UOKXF7MU2ORYU7

not attested not anchored not stored refs pending

Operator Theory on One-Sided Quaternionic Linear Spaces: Intrinsic S-Functional Calculus and Spectral Operators

Jonathan Gantner

arxiv:1803.10524 v1 · 2018-03-28 · 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{O4BL43CV4YZ5UOKXF7MU2ORYU7}

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	2026-05-18T00:19:55.034674Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7702be6c55e633da39572fd94d3a38a7df64573d2c48afbe952ec519fba50812

Aliases

arxiv: 1803.10524 · arxiv_version: 1803.10524v1 · doi: 10.48550/arxiv.1803.10524 · pith_short_12: O4BL43CV4YZ5 · pith_short_16: O4BL43CV4YZ5UOKX · pith_short_8: O4BL43CV

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/O4BL43CV4YZ5UOKXF7MU2ORYU7 \
  | 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: 7702be6c55e633da39572fd94d3a38a7df64573d2c48afbe952ec519fba50812

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3bb6eaa5902f2b8948164e0bfff22d6e79e7c8f50e7b4a187a88b96fbd9f9551",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2018-03-28T11:04:26Z",
    "title_canon_sha256": "8a2db25c90ff00308fc3606fa61e2029b9e99bfd6f858e6277d5f2f0244cc2f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.10524",
    "kind": "arxiv",
    "version": 1
  }
}