Pith Number

pith:VTGFVWXM

pith:2019:VTGFVWXMPXJOC5SLHKF7QTNS2T

not attested not anchored not stored refs pending

Frame decomposition and radial maximal semigroup characterization of Hardy spaces associated to operators

Ji Li, Liang Song, Lixin Yan, Xuan Thinh Duong

arxiv:1903.01705 v2 · 2019-03-05 · math.AP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VTGFVWXMPXJOC5SLHKF7QTNS2T}

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	2026-05-17T23:51:56.950957Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

accc5adaec7dd2e1764b3a8bf84db2d4fb592c50d6d260da809a0c483201ba64

Aliases

arxiv: 1903.01705 · arxiv_version: 1903.01705v2 · doi: 10.48550/arxiv.1903.01705 · pith_short_12: VTGFVWXMPXJO · pith_short_16: VTGFVWXMPXJOC5SL · pith_short_8: VTGFVWXM

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/VTGFVWXMPXJOC5SLHKF7QTNS2T \
  | 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: accc5adaec7dd2e1764b3a8bf84db2d4fb592c50d6d260da809a0c483201ba64

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "651cdd59c267e90a3db281ae5364a9e3cf8ed07895cc4baef93c2c1314c2770a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-03-05T07:35:10Z",
    "title_canon_sha256": "fab0615323e17c27bc71d3b8b5559098819d48134854a7ea1d257e8ef5834f33"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.01705",
    "kind": "arxiv",
    "version": 2
  }
}