Pith Number

pith:ZIIYHRTJ

pith:2017:ZIIYHRTJ733CRERXX7UNM2NUPR

not attested not anchored not stored refs pending

Maximal and other operators in exponential Orlicz and Grand Lebesgue Spaces

E. Ostrovsky, L. Sirota

arxiv:1706.07539 v1 · 2017-06-23 · 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{ZIIYHRTJ733CRERXX7UNM2NUPR}

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	2026-05-18T00:41:48.827718Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ca1183c669fef6289237bfe8d669b47c6ed83e64bfb50890d1f04f0b37ad0529

Aliases

arxiv: 1706.07539 · arxiv_version: 1706.07539v1 · doi: 10.48550/arxiv.1706.07539 · pith_short_12: ZIIYHRTJ733C · pith_short_16: ZIIYHRTJ733CRERX · pith_short_8: ZIIYHRTJ

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/ZIIYHRTJ733CRERXX7UNM2NUPR \
  | 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: ca1183c669fef6289237bfe8d669b47c6ed83e64bfb50890d1f04f0b37ad0529

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6412cf922fc4d7433d6b6e0ed0bffae49d33bd576f27c5555c1acaf539438fcc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-06-23T01:55:54Z",
    "title_canon_sha256": "d26236e1c0c218a7dc91f906813143b1a281c11ea835cc50399853e1bc51c856"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.07539",
    "kind": "arxiv",
    "version": 1
  }
}