Pith Number

pith:WDY4LUHY

pith:2016:WDY4LUHYU5E3GAYSO5JG545GLU

not attested not anchored not stored refs pending

Maximal Function Characterizations of Variable Hardy Spaces Associated with Non-negative Self-adjoint Operators Satisfying Gaussian Estimates

Ciqiang Zhuo, Dachun Yang

arxiv:1601.07615 v1 · 2016-01-28 · 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{WDY4LUHYU5E3GAYSO5JG545GLU}

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	2026-05-18T01:21:42.613664Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b0f1c5d0f8a749b3031277526ef3a65d176e7a693b07443a755d4470c6461b45

Aliases

arxiv: 1601.07615 · arxiv_version: 1601.07615v1 · doi: 10.48550/arxiv.1601.07615 · pith_short_12: WDY4LUHYU5E3 · pith_short_16: WDY4LUHYU5E3GAYS · pith_short_8: WDY4LUHY

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/WDY4LUHYU5E3GAYSO5JG545GLU \
  | 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: b0f1c5d0f8a749b3031277526ef3a65d176e7a693b07443a755d4470c6461b45

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c31d9c4c40a6dc4d911965291ae63b4ea9b4e0309b2fb0ae4a681f55bdd9221d",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-01-28T01:29:17Z",
    "title_canon_sha256": "0c9c11ff3165ea4306770d30bcee7fed28dcc9bb1afba752bd90bccf06fbc308"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.07615",
    "kind": "arxiv",
    "version": 1
  }
}