Pith Number

pith:DN7E7PAZ

pith:2018:DN7E7PAZZGMQK7AN4BFWPWTJBG

not attested not anchored not stored refs pending

Characterizations of centralizable mappings on algebras of locally measurable operators

Guangyu An, Jiankui Li, Jun He

arxiv:1809.04887 v1 · 2018-09-13 · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DN7E7PAZZGMQK7AN4BFWPWTJBG}

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	2026-05-18T00:05:47.222763Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1b7e4fbc19c999057c0de04b67da69098d5e4a8509682ae958cdb5d8aaee5f46

Aliases

arxiv: 1809.04887 · arxiv_version: 1809.04887v1 · doi: 10.48550/arxiv.1809.04887 · pith_short_12: DN7E7PAZZGMQ · pith_short_16: DN7E7PAZZGMQK7AN · pith_short_8: DN7E7PAZ

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/DN7E7PAZZGMQK7AN4BFWPWTJBG \
  | 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: 1b7e4fbc19c999057c0de04b67da69098d5e4a8509682ae958cdb5d8aaee5f46

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "376660c5956087ea5e650ef17cad6b8e470b755e2d0cfc659a7f3947c24215ee",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2018-09-13T11:05:53Z",
    "title_canon_sha256": "58551320792d4ab997d4eeabefb78625fca50a1320102898fef310aca38c04b3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.04887",
    "kind": "arxiv",
    "version": 1
  }
}