Pith Number

pith:WLI6VT6I

pith:2015:WLI6VT6IER6BYMLDWVVRZBAG3C

not attested not anchored not stored refs pending

Essential norms and weak compactness of integral operators between weighted Bergman spaces

Pekka Nieminen, Santeri Miihkinen, Wen Xu

arxiv:1506.05414 v1 · 2015-06-17 · 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{WLI6VT6IER6BYMLDWVVRZBAG3C}

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	2026-05-18T01:46:12.353891Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b2d1eacfc8247c1c3163b56b1c8406d8801cf201f24ce9a4b838f89cb282d4c5

Aliases

arxiv: 1506.05414 · arxiv_version: 1506.05414v1 · doi: 10.48550/arxiv.1506.05414 · pith_short_12: WLI6VT6IER6B · pith_short_16: WLI6VT6IER6BYMLD · pith_short_8: WLI6VT6I

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/WLI6VT6IER6BYMLDWVVRZBAG3C \
  | 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: b2d1eacfc8247c1c3163b56b1c8406d8801cf201f24ce9a4b838f89cb282d4c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2c0df9fa9048adf0688fb93807fde95514760a3c6e111f3f6709b23589be0752",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2015-06-17T18:35:25Z",
    "title_canon_sha256": "049f48fcb693789b79e93082cd472ace37ef3e58f9c88761d776758dffcfb7ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.05414",
    "kind": "arxiv",
    "version": 1
  }
}