Pith Number

pith:2Y6JI74T

pith:2016:2Y6JI74T4LK2ILSC4RPMGGIV3A

not attested not anchored not stored refs pending

Composition operators on Orlicz-Sobolev spaces

Debajyoti Choudhuri, Ratan Kumar Giri

arxiv:1601.06776 v1 · 2016-01-25 · math.FA · math.AP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2Y6JI74T4LK2ILSC4RPMGGIV3A}

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	2026-05-18T01:21:59.786289Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d63c947f93e2d5a42e42e45ec31915d80261a9b5118ef9571aeb3b5a8c82491f

Aliases

arxiv: 1601.06776 · arxiv_version: 1601.06776v1 · doi: 10.48550/arxiv.1601.06776 · pith_short_12: 2Y6JI74T4LK2 · pith_short_16: 2Y6JI74T4LK2ILSC · pith_short_8: 2Y6JI74T

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/2Y6JI74T4LK2ILSC4RPMGGIV3A \
  | 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: d63c947f93e2d5a42e42e45ec31915d80261a9b5118ef9571aeb3b5a8c82491f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9e2057d2443dd35e73007989a61abfca0290a93658eab164447c7e14f090cb0a",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-01-25T06:57:44Z",
    "title_canon_sha256": "dc62962d195f06f11e303445fe2fc0082a723f93b71266f3e7064361d4c98d62"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.06776",
    "kind": "arxiv",
    "version": 1
  }
}