Pith Number

pith:LUVAYPR6

pith:2021:LUVAYPR6ARKM3Z7TPT2UP4AWG3

not attested not anchored not stored refs pending

Toeplitz algebras over Fock and Bergman spaces

Shengkun Wu, Xianfeng Zhao

arxiv:2105.03950 v5 · 2021-05-09 · math.FA · 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{LUVAYPR6ARKM3Z7TPT2UP4AWG3}

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	2026-07-05T05:46:10.572836Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5d2a0c3e3e0454cde7f37cf547f01636c51cf1697323857353f737b543ba176c

Aliases

arxiv: 2105.03950 · arxiv_version: 2105.03950v5 · doi: 10.48550/arxiv.2105.03950 · pith_short_12: LUVAYPR6ARKM · pith_short_16: LUVAYPR6ARKM3Z7T · pith_short_8: LUVAYPR6

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/LUVAYPR6ARKM3Z7TPT2UP4AWG3 \
  | 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: 5d2a0c3e3e0454cde7f37cf547f01636c51cf1697323857353f737b543ba176c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "070629b1b89e1fcf8355a461cd25e540d738ab7f3aa3b51e8292554db232253e",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2021-05-09T14:27:35Z",
    "title_canon_sha256": "d71c16a3ddc58a6276873cd2f99dfae452688268746429dec177e73f88294c60"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2105.03950",
    "kind": "arxiv",
    "version": 5
  }
}