Pith Number

pith:AS5KTU7Y

pith:2018:AS5KTU7YTUOGHLXES4XYSOWGBN

not attested not anchored not stored refs pending

The Restriction Principle and Commuting Families of Toeplitz Operators on the Unit Ball

G. Olafsson, M. Dawson, R. Quiroga-Barranco

arxiv:1805.00141 v2 · 2018-05-01 · 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{AS5KTU7YTUOGHLXES4XYSOWGBN}

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	2026-05-18T00:08:20.766255Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

04baa9d3f89d1c63aee4972f893ac60b4e1a0e62afdcc7eb2ced7a0616d058bd

Aliases

arxiv: 1805.00141 · arxiv_version: 1805.00141v2 · doi: 10.48550/arxiv.1805.00141 · pith_short_12: AS5KTU7YTUOG · pith_short_16: AS5KTU7YTUOGHLXE · pith_short_8: AS5KTU7Y

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/AS5KTU7YTUOGHLXES4XYSOWGBN \
  | 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: 04baa9d3f89d1c63aee4972f893ac60b4e1a0e62afdcc7eb2ced7a0616d058bd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fb81a2c1dfc16f4ed41f3ea64afd1b6fdb5230d43890584c5a0c1362a6796d12",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-05-01T00:21:31Z",
    "title_canon_sha256": "e5691342f3259a626698294ed9c02dd15a1bc8736ae72f6fde76721d0a054d77"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.00141",
    "kind": "arxiv",
    "version": 2
  }
}