Pith Number

pith:TXVDYJBH

pith:2011:TXVDYJBHMTIIMSOJX46NZGTGT6

not attested not anchored not stored refs pending

Dilation theory, commutant lifting and semicrossed products

Elias G. Katsoulis, Kenneth R. Davidson

arxiv:1109.0231 v1 · 2011-09-01 · math.OA · 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{TXVDYJBHMTIIMSOJX46NZGTGT6}

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	2026-05-18T04:14:17.032601Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9dea3c242764d08649c9bf3cdc9a669f85df59c0e50cb27fe3503bc40ff7043b

Aliases

arxiv: 1109.0231 · arxiv_version: 1109.0231v1 · doi: 10.48550/arxiv.1109.0231 · pith_short_12: TXVDYJBHMTII · pith_short_16: TXVDYJBHMTIIMSOJ · pith_short_8: TXVDYJBH

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/TXVDYJBHMTIIMSOJX46NZGTGT6 \
  | 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: 9dea3c242764d08649c9bf3cdc9a669f85df59c0e50cb27fe3503bc40ff7043b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b17507afc0024ca722fde4fa0e00be6e8111b0d704a0836a168c949ed842ab27",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2011-09-01T16:40:19Z",
    "title_canon_sha256": "0036062a3296706f2fd3fc6ef6198e77656fb735e66300e450b21905708316c2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.0231",
    "kind": "arxiv",
    "version": 1
  }
}