Pith Number

pith:R3W26KZV

pith:2013:R3W26KZVVMYSUXQBXYOYDE77AF

not attested not anchored not stored refs pending

Unbounded Subnormal Composition Operators in L2-Spaces

Il Bong Jung, Jan Stochel, Piotr Budzynski, Zenon Jan Jablonski

arxiv:1303.6486 v1 · 2013-03-26 · 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{R3W26KZVVMYSUXQBXYOYDE77AF}

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	2026-05-18T03:29:49.313238Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8eedaf2b35ab312a5e01be1d8193ff017aeee908f43f12806feeaa38a4dd5aa5

Aliases

arxiv: 1303.6486 · arxiv_version: 1303.6486v1 · doi: 10.48550/arxiv.1303.6486 · pith_short_12: R3W26KZVVMYS · pith_short_16: R3W26KZVVMYSUXQB · pith_short_8: R3W26KZV

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/R3W26KZVVMYSUXQBXYOYDE77AF \
  | 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: 8eedaf2b35ab312a5e01be1d8193ff017aeee908f43f12806feeaa38a4dd5aa5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ea14e727ab8dfd7374fddca6bb43515191e936646ae3162a74ead54d7f8013b2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-03-26T13:36:05Z",
    "title_canon_sha256": "de4b315dc1bec44cfa867cc86b2360c165f2a013647463552a216963550e1355"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.6486",
    "kind": "arxiv",
    "version": 1
  }
}