Pith Number

pith:CZNI5NVQ

pith:2018:CZNI5NVQK6JVAVJJ2LLDTGUPPP

not attested not anchored not stored refs pending

Toeplitz operators in polyanalytic Bergman type spaces

Grigori Rozenblum, Nikolai Vasilevski

arxiv:1807.11216 v1 · 2018-07-30 · 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{CZNI5NVQK6JVAVJJ2LLDTGUPPP}

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	2026-05-18T00:09:32.592612Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

165a8eb6b05793505529d2d6399a8f7bcb7a047eb2d354fc2dd5a213b4e76f84

Aliases

arxiv: 1807.11216 · arxiv_version: 1807.11216v1 · doi: 10.48550/arxiv.1807.11216 · pith_short_12: CZNI5NVQK6JV · pith_short_16: CZNI5NVQK6JVAVJJ · pith_short_8: CZNI5NVQ

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/CZNI5NVQK6JVAVJJ2LLDTGUPPP \
  | 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: 165a8eb6b05793505529d2d6399a8f7bcb7a047eb2d354fc2dd5a213b4e76f84

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8b7bdd14c29af013449953ce33030be70a41f7cd421a4f89ad4ef0a123c505a8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-07-30T08:07:20Z",
    "title_canon_sha256": "04fe8cf931a9ada378bc02165fa754576e657bba06503193f4aab33e3909a312"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.11216",
    "kind": "arxiv",
    "version": 1
  }
}