Pith Number

pith:UZCN2Z3J

pith:2017:UZCN2Z3JO7BGWH3C3DXZDF7UK2

not attested not anchored not stored refs pending

Weighted shifts on directed trees. Their multiplier algebras, reflexivity and decompositions

Artur Planeta, Marek Ptak, Piotr Budzynski, Piotr Dymek

arxiv:1702.00765 v1 · 2017-02-02 · 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{UZCN2Z3JO7BGWH3C3DXZDF7UK2}

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	2026-05-18T00:51:30.896670Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a644dd676977c26b1f62d8ef9197f456a08e900238d8fcdbbcf95b46f0ffe54e

Aliases

arxiv: 1702.00765 · arxiv_version: 1702.00765v1 · doi: 10.48550/arxiv.1702.00765 · pith_short_12: UZCN2Z3JO7BG · pith_short_16: UZCN2Z3JO7BGWH3C · pith_short_8: UZCN2Z3J

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/UZCN2Z3JO7BGWH3C3DXZDF7UK2 \
  | 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: a644dd676977c26b1f62d8ef9197f456a08e900238d8fcdbbcf95b46f0ffe54e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "40f4701e79b1944e7112980d6fe5763c3774567967a777e2a73c8671f9aa1877",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-02-02T17:53:34Z",
    "title_canon_sha256": "5d6aca86ab26db48cf1b5b4c5a7165ff5dd70ed3668a5d4c0ed0d964c6d6095e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.00765",
    "kind": "arxiv",
    "version": 1
  }
}