Pith Number

pith:EDRYABCN

pith:2024:EDRYABCN3TGMHR7EG6FUJYTKVF

not attested not anchored not stored refs pending

On unitary equivalence and reducing subspaces of analytic Toeplitz operator on vector-valued Hardy space

Cui Chen, Ya Wang, Yucheng Li

arxiv:2409.07112 v1 · 2024-09-11 · 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{EDRYABCN3TGMHR7EG6FUJYTKVF}

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	2026-07-05T09:05:45.757295Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

20e380044ddcccc3c7e4378b44e26aa953101b6dcdd03c98b7abd11b97899afa

Aliases

arxiv: 2409.07112 · arxiv_version: 2409.07112v1 · doi: 10.48550/arxiv.2409.07112 · pith_short_12: EDRYABCN3TGM · pith_short_16: EDRYABCN3TGMHR7E · pith_short_8: EDRYABCN

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/EDRYABCN3TGMHR7EG6FUJYTKVF \
  | 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: 20e380044ddcccc3c7e4378b44e26aa953101b6dcdd03c98b7abd11b97899afa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d1b4325ec502fb642364e668ea8e10be69849dd07fdc2b4d545fc3e56a046007",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2024-09-11T08:58:21Z",
    "title_canon_sha256": "3d22cec5bb2c67a9bf3bdec6d7e19a8052fd212fad2ef528943bf3434578e5e0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2409.07112",
    "kind": "arxiv",
    "version": 1
  }
}