Pith Number

pith:6UHSC2GU

pith:2014:6UHSC2GUAMMRT32QMEXAPWIVSE

not attested not anchored not stored refs pending

Dense definiteness and boundedness of composition operators in $L^2$-spaces via inductive limits

Artur Planeta, Piotr Budzynski

arxiv:1409.3961 v1 · 2014-09-13 · 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{6UHSC2GUAMMRT32QMEXAPWIVSE}

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	2026-05-18T00:06:31.670211Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f50f2168d4031919ef50612e07d9159136461ceaae25116763bf8e42314bbae7

Aliases

arxiv: 1409.3961 · arxiv_version: 1409.3961v1 · doi: 10.48550/arxiv.1409.3961 · pith_short_12: 6UHSC2GUAMMR · pith_short_16: 6UHSC2GUAMMRT32Q · pith_short_8: 6UHSC2GU

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/6UHSC2GUAMMRT32QMEXAPWIVSE \
  | 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: f50f2168d4031919ef50612e07d9159136461ceaae25116763bf8e42314bbae7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f56b54b9eca24c9dc9715a50fab6be5df477e42fd1b3df5009c9305b0139f2b7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2014-09-13T15:42:46Z",
    "title_canon_sha256": "fede0cbc8c7ba582eac13b21bdb1da9d70d34d8974656569e972a4a77497470f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.3961",
    "kind": "arxiv",
    "version": 1
  }
}