Pith Number

pith:J5S7YP7X

pith:2016:J5S7YP7XGSAVB34LV4B3JFMZU3

not attested not anchored not stored refs pending

Two-sided multiplication operators on the space of regular operators

Anton R. Schep, Jin Xi Chen

arxiv:1609.06913 v1 · 2016-09-22 · 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{J5S7YP7XGSAVB34LV4B3JFMZU3}

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	2026-05-18T01:04:04.827038Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f65fc3ff7348150ef8baf03b49599a6cbc47a7f772d0dfc7dec69661db17a0d

Aliases

arxiv: 1609.06913 · arxiv_version: 1609.06913v1 · doi: 10.48550/arxiv.1609.06913 · pith_short_12: J5S7YP7XGSAV · pith_short_16: J5S7YP7XGSAVB34L · pith_short_8: J5S7YP7X

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/J5S7YP7XGSAVB34LV4B3JFMZU3 \
  | 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: 4f65fc3ff7348150ef8baf03b49599a6cbc47a7f772d0dfc7dec69661db17a0d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0935354e11ac9262c8d7f518eac25db788debaa1306cce40506c246718ba664b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-09-22T11:14:17Z",
    "title_canon_sha256": "b9db83b4d5876831672585806ccf911a7cbffc23788db9ab10a54b7fc0593cff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.06913",
    "kind": "arxiv",
    "version": 1
  }
}