Pith Number

pith:MIN4LVFJ

pith:2015:MIN4LVFJRVXTYLMLDRMLLWJWOS

not attested not anchored not stored refs pending

Riesz Transform Characterizations of Hardy Spaces Associated to Degenerate Elliptic Operators

Dachun Yang, Junqiang Zhang

arxiv:1509.05479 v1 · 2015-09-18 · math.CA · 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{MIN4LVFJRVXTYLMLDRMLLWJWOS}

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	2026-05-18T01:32:43.062873Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

621bc5d4a98d6f3c2d8b1c58b5d93674bb8dd7d2c16ea035578e87f46e6a43ee

Aliases

arxiv: 1509.05479 · arxiv_version: 1509.05479v1 · doi: 10.48550/arxiv.1509.05479 · pith_short_12: MIN4LVFJRVXT · pith_short_16: MIN4LVFJRVXTYLML · pith_short_8: MIN4LVFJ

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/MIN4LVFJRVXTYLMLDRMLLWJWOS \
  | 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: 621bc5d4a98d6f3c2d8b1c58b5d93674bb8dd7d2c16ea035578e87f46e6a43ee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "263fe5584151dd63184d38e60906d0579b02c4ef7777141cc6d3f22c744936fc",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-09-18T00:26:09Z",
    "title_canon_sha256": "e89cb2e039c4bd4232e10e052474e485eacfda659d3353fb6d52f852555676e0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.05479",
    "kind": "arxiv",
    "version": 1
  }
}