Pith Number

pith:3OZC7MX4

pith:2016:3OZC7MX42ZKNI7LA4TRZKI7IUU

not attested not anchored not stored refs pending

Multiplication operators on Orlicz and weighted Orlicz spaces

Ratan Kumar Giri, Shesadev Pradhan

arxiv:1606.03363 v1 · 2016-06-10 · 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{3OZC7MX42ZKNI7LA4TRZKI7IUU}

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	2026-05-18T01:12:37.058379Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dbb22fb2fcd654d47d60e4e39523e8a531836bd504c9a40feaf23ba1ca71961d

Aliases

arxiv: 1606.03363 · arxiv_version: 1606.03363v1 · doi: 10.48550/arxiv.1606.03363 · pith_short_12: 3OZC7MX42ZKN · pith_short_16: 3OZC7MX42ZKNI7LA · pith_short_8: 3OZC7MX4

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/3OZC7MX42ZKNI7LA4TRZKI7IUU \
  | 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: dbb22fb2fcd654d47d60e4e39523e8a531836bd504c9a40feaf23ba1ca71961d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "77daaff6becff09e0d01d09f009a8815ccba8570da0613dfdceefb1366dfe6d1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-06-10T15:25:25Z",
    "title_canon_sha256": "de075936845e6b69fe518a8e56277e761a40a969f6a84aebd2ac3cb0f910c853"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.03363",
    "kind": "arxiv",
    "version": 1
  }
}