Pith Number

pith:R2SKFCZA

pith:2019:R2SKFCZAA3GDCI537KAU333ZHT

not attested not anchored not stored refs pending

Volterra type integration operators from Bergman spaces to Hardy spaces

Antti Per\"al\"a, Jordi Pau, Maofa Wang, Santeri Miihkinen

arxiv:1904.00359 v1 · 2019-03-31 · math.CV · 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{R2SKFCZAA3GDCI537KAU333ZHT}

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	2026-05-17T23:49:48.610610Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8ea4a28b2006cc3123bbfa814def793cd5bf6737204410cd58f7033f1c323e36

Aliases

arxiv: 1904.00359 · arxiv_version: 1904.00359v1 · doi: 10.48550/arxiv.1904.00359 · pith_short_12: R2SKFCZAA3GD · pith_short_16: R2SKFCZAA3GDCI53 · pith_short_8: R2SKFCZA

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/R2SKFCZAA3GDCI537KAU333ZHT \
  | 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: 8ea4a28b2006cc3123bbfa814def793cd5bf6737204410cd58f7033f1c323e36

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f7321aaa7aeb09932b77cd0a3800470c7e9b1db345905be47b1fda259f00fb42",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2019-03-31T08:58:46Z",
    "title_canon_sha256": "932e94da808339822b6a27feb0edb974b2e45224fa01a7aa1c391b6885dd7c13"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.00359",
    "kind": "arxiv",
    "version": 1
  }
}