Pith Number

pith:47BHEJPK

pith:2018:47BHEJPKD2DHTSDSSMYUZLWVJV

not attested not anchored not stored refs pending

Weighted composition operators on the class of subordinate functions

Perumal Muthukumar, Saminathan Ponnusamy

arxiv:1802.01828 v1 · 2018-02-06 · 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{47BHEJPKD2DHTSDSSMYUZLWVJV}

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	2026-05-18T00:24:21.167480Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e7c27225ea1e8679c87293314caed54d55f44f0ffb33f8f7fd405ff5418b7a49

Aliases

arxiv: 1802.01828 · arxiv_version: 1802.01828v1 · doi: 10.48550/arxiv.1802.01828 · pith_short_12: 47BHEJPKD2DH · pith_short_16: 47BHEJPKD2DHTSDS · pith_short_8: 47BHEJPK

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/47BHEJPKD2DHTSDSSMYUZLWVJV \
  | 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: e7c27225ea1e8679c87293314caed54d55f44f0ffb33f8f7fd405ff5418b7a49

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4b6bae51777023009512d48217d81c0d12cca3868d290ae663159a985dbc2bd7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-02-06T07:30:38Z",
    "title_canon_sha256": "68c48c4983fd7d744590ab9f4f22f12fc3046c30a6ad9a5a12d4e4acc74cc7a1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.01828",
    "kind": "arxiv",
    "version": 1
  }
}