Pith Number

pith:RI3TZ765

pith:2017:RI3TZ765BT6PTT7D2XTNEAXT3O

not attested not anchored not stored refs pending

Algebras of diagonal operators of the form scalar-plus-compact are Calkin algebras

Andreas Tolias, Daniele Puglisi, Pavlos Motakis

arxiv:1711.01340 v1 · 2017-11-03 · 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{RI3TZ765BT6PTT7D2XTNEAXT3O}

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	2026-05-18T00:31:18.135913Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8a373cffdd0cfcf9cfe3d5e6d202f3dbbefe1fc5e35447a39aba9df8f436d58e

Aliases

arxiv: 1711.01340 · arxiv_version: 1711.01340v1 · doi: 10.48550/arxiv.1711.01340 · pith_short_12: RI3TZ765BT6P · pith_short_16: RI3TZ765BT6PTT7D · pith_short_8: RI3TZ765

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/RI3TZ765BT6PTT7D2XTNEAXT3O \
  | 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: 8a373cffdd0cfcf9cfe3d5e6d202f3dbbefe1fc5e35447a39aba9df8f436d58e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f854b8f9da3281a23691d19b21a32652e0d7b02ecd5c17ddfae631ceaa613ea0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-11-03T21:35:10Z",
    "title_canon_sha256": "d4c3ad8d455152cbcfcfc062f725924c7c8ed1663934bc89fb8f2777a9ab21ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.01340",
    "kind": "arxiv",
    "version": 1
  }
}