Pith Number

pith:RWLDEJIG

pith:2015:RWLDEJIGIY5JGPPXNXJTEZNKET

not attested not anchored not stored refs pending

The $H^\infty$ functional calculus based on the $S$-spectrum for quaternionic operators and for $n$-tuples of noncommuting operators

D. Alpay, F. Colombo, I. Sabadini, T. Qian

arxiv:1511.07629 v1 · 2015-11-24 · math.FA

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RWLDEJIGIY5JGPPXNXJTEZNKET}

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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	2026-05-18T01:26:04.130439Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8d96322506463a933df76dd33265aa24f326386f225a7e4a385fb27a251b5834

Aliases

arxiv: 1511.07629 · arxiv_version: 1511.07629v1 · doi: 10.48550/arxiv.1511.07629 · pith_short_12: RWLDEJIGIY5J · pith_short_16: RWLDEJIGIY5JGPPX · pith_short_8: RWLDEJIG

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/RWLDEJIGIY5JGPPXNXJTEZNKET \
  | 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: 8d96322506463a933df76dd33265aa24f326386f225a7e4a385fb27a251b5834

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4c260327195df1935f382318e4a5a44907b8f11d5291a081c7d7a13b0d51056f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-11-24T10:15:02Z",
    "title_canon_sha256": "df9e7158f97856271bffff0884515894ec9e098dbd85f8de0cea31cf4ed23fae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.07629",
    "kind": "arxiv",
    "version": 1
  }
}