Pith Number

pith:3KXBPZR6

pith:2014:3KXBPZR6IDNU3RGKTIBHEOK2SS

not attested not anchored not stored refs pending

Trace class criteria for Toeplitz and composition operators on small Bergman spaces

Jos\'e \'Angel Pel\'aez, Jouni R\"atty\"a

arxiv:1501.00131 v1 · 2014-12-31 · math.FA · math.CV

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3KXBPZR6IDNU3RGKTIBHEOK2SS}

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	2026-05-18T02:30:10.048435Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

daae17e63e40db4dc4ca9a0272395a94a2580ee4047235d7e7ed9e6c284d5ef2

Aliases

arxiv: 1501.00131 · arxiv_version: 1501.00131v1 · doi: 10.48550/arxiv.1501.00131 · pith_short_12: 3KXBPZR6IDNU · pith_short_16: 3KXBPZR6IDNU3RGK · pith_short_8: 3KXBPZR6

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/3KXBPZR6IDNU3RGKTIBHEOK2SS \
  | 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: daae17e63e40db4dc4ca9a0272395a94a2580ee4047235d7e7ed9e6c284d5ef2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f28d9542edc4d177d15978444ba6769596a91a38377b3b2395ab66ca74c2e4af",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2014-12-31T13:16:33Z",
    "title_canon_sha256": "5dc76334fc9dad09d286dc4bf27c31ab64513a59130d5bfbb11fbe4acd5061ec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.00131",
    "kind": "arxiv",
    "version": 1
  }
}