Pith Number

pith:MLXIYJRT

pith:2012:MLXIYJRTAVZ7DLKDVMJ45B3CMB

not attested not anchored not stored refs pending

Generalized Hilbert operators on weighted Bergman spaces

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

arxiv:1210.3315 v2 · 2012-10-11 · 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{MLXIYJRTAVZ7DLKDVMJ45B3CMB}

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	2026-05-18T03:31:29.381799Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

62ee8c26330573f1ad43ab13ce87626051b79753fe95ba7773a5882bcc60b6e3

Aliases

arxiv: 1210.3315 · arxiv_version: 1210.3315v2 · doi: 10.48550/arxiv.1210.3315 · pith_short_12: MLXIYJRTAVZ7 · pith_short_16: MLXIYJRTAVZ7DLKD · pith_short_8: MLXIYJRT

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/MLXIYJRTAVZ7DLKDVMJ45B3CMB \
  | 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: 62ee8c26330573f1ad43ab13ce87626051b79753fe95ba7773a5882bcc60b6e3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9dea5a2eb7f0518d2ea2007453e66762031f9bd7aff3d72e196746f4adb7d22e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2012-10-11T18:32:20Z",
    "title_canon_sha256": "d5147276b2043ba682270fc0727e7ee39453ef2c0bca15f6d12935d898fb1ddb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.3315",
    "kind": "arxiv",
    "version": 2
  }
}