Pith Number

pith:OAI4GFT6

pith:2026:OAI4GFT6Y6MKR3WCACWG25NM47

not attested not anchored not stored refs pending

Unbounded Toeplitz operators and finite rank de Branges-Rovnyak spaces

Chaman Kumar Sahu, Md Ramiz Reza, Soumitra Ghara

arxiv:2605.17861 v1 · 2026-05-18 · 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{OAI4GFT6Y6MKR3WCACWG25NM47}

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	2026-05-20T00:05:02.352538Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7011c3167ec798a8eec200ac6d75ace7c7297dc71cfde55e06eef184a4b7f0eb

Aliases

arxiv: 2605.17861 · arxiv_version: 2605.17861v1 · doi: 10.48550/arxiv.2605.17861 · pith_short_12: OAI4GFT6Y6MK · pith_short_16: OAI4GFT6Y6MKR3WC · pith_short_8: OAI4GFT6

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/OAI4GFT6Y6MKR3WCACWG25NM47 \
  | 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: 7011c3167ec798a8eec200ac6d75ace7c7297dc71cfde55e06eef184a4b7f0eb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3d73c9ad476108d8b4a510c74f71c403120343fdba89d3b0fb7c65b31051312b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2026-05-18T05:13:52Z",
    "title_canon_sha256": "cf5c22f9cb9313373db4e14195cbe9a5e2a212630f817f65504afda78267fc68"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.17861",
    "kind": "arxiv",
    "version": 1
  }
}