Pith Number

pith:W5AH7JKK

pith:2019:W5AH7JKKHM2GA2AZC67OFXFZZL

not attested not anchored not stored refs pending

The optimal symmetric quasi-Banach range of the discrete Hilbert transform

K.S. Tulenov

arxiv:1908.09542 v1 · 2019-08-26 · 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{W5AH7JKKHM2GA2AZC67OFXFZZL}

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	2026-07-04T23:59:41.338130Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b7407fa54a3b3460681917bee2dcb9cac6ffac68ff220ed57f10d4e3e1e77f56

Aliases

arxiv: 1908.09542 · arxiv_version: 1908.09542v1 · doi: 10.48550/arxiv.1908.09542 · pith_short_12: W5AH7JKKHM2G · pith_short_16: W5AH7JKKHM2GA2AZ · pith_short_8: W5AH7JKK

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/W5AH7JKKHM2GA2AZC67OFXFZZL \
  | 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: b7407fa54a3b3460681917bee2dcb9cac6ffac68ff220ed57f10d4e3e1e77f56

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d81534bfa7b4bca732608d2a0c16bd6d2d197806f710f7fc328ed26c8395aa7e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2019-08-26T09:11:55Z",
    "title_canon_sha256": "3c27ff0b389247e99a39ed4c35c49499efe09bba9603178fb4d582a1b5993948"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.09542",
    "kind": "arxiv",
    "version": 1
  }
}