Pith Number

pith:VAKEWELJ

pith:2014:VAKEWELJBQA2EWP3ZPQMQGLOQO

not attested not anchored not stored refs pending

On the sum between a closable operator $T$ and a $T$-bounded operator

Dan Popovici, Zolt\'an Sebesty\'en, Zsigmond Tarcsay

arxiv:1409.5711 v1 · 2014-09-19 · 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{VAKEWELJBQA2EWP3ZPQMQGLOQO}

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	2026-05-18T02:42:26.542547Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a8144b11690c01a259fbcbe0c8196e838a4e4e377c1aacb47ce36a3d269e0dfa

Aliases

arxiv: 1409.5711 · arxiv_version: 1409.5711v1 · doi: 10.48550/arxiv.1409.5711 · pith_short_12: VAKEWELJBQA2 · pith_short_16: VAKEWELJBQA2EWP3 · pith_short_8: VAKEWELJ

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/VAKEWELJBQA2EWP3ZPQMQGLOQO \
  | 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: a8144b11690c01a259fbcbe0c8196e838a4e4e377c1aacb47ce36a3d269e0dfa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d5fd92d341ee27f706d6bd88ffecbed9d4468f1e9d2ab2ff632f1961dee593d0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2014-09-19T16:07:53Z",
    "title_canon_sha256": "ec957300ca463172963a13151297497443d1edf0f46c1f28c39b6dc1750f350b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.5711",
    "kind": "arxiv",
    "version": 1
  }
}