Pith Number

pith:M5VY3USW

pith:2014:M5VY3USWFIZPW5AUVRQ3WIANTC

not attested not anchored not stored refs pending

On normal, formally normal and quasinormal composition operators in $\ell^2$-spaces

Piotr Budzynski

arxiv:1408.3256 v1 · 2014-08-14 · 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{M5VY3USWFIZPW5AUVRQ3WIANTC}

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	2026-05-18T02:45:13.398209Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

676b8dd2562a32fb7414ac61bb200d98863fe102042ca55a24f45bd711b647a7

Aliases

arxiv: 1408.3256 · arxiv_version: 1408.3256v1 · doi: 10.48550/arxiv.1408.3256 · pith_short_12: M5VY3USWFIZP · pith_short_16: M5VY3USWFIZPW5AU · pith_short_8: M5VY3USW

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/M5VY3USWFIZPW5AUVRQ3WIANTC \
  | 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: 676b8dd2562a32fb7414ac61bb200d98863fe102042ca55a24f45bd711b647a7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "09cb235497648fa55643beebe40211b5a2ca226ce60b126cd11d5411b67fb9d0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2014-08-14T12:14:54Z",
    "title_canon_sha256": "4c78c9ef4ef219867bb455f0231098b15df2dabaeb566e6eafa1976992d58412"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.3256",
    "kind": "arxiv",
    "version": 1
  }
}