Pith Number

pith:R6UCKCSW

pith:2015:R6UCKCSW4WKMYXPRYZ7UURWTSU

not attested not anchored not stored refs pending

A maximal function characterization for Hardy spaces associated to nonnegative self-adjoint operators satisfying Gaussian estimates

Liang Song, Lixin Yan

arxiv:1503.03624 v3 · 2015-03-12 · 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{R6UCKCSW4WKMYXPRYZ7UURWTSU}

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	2026-05-18T01:46:13.548040Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8fa8250a56e594cc5df1c67f4a46d39536428d73d7184ae0bbd9fc0c2485491e

Aliases

arxiv: 1503.03624 · arxiv_version: 1503.03624v3 · doi: 10.48550/arxiv.1503.03624 · pith_short_12: R6UCKCSW4WKM · pith_short_16: R6UCKCSW4WKMYXPR · pith_short_8: R6UCKCSW

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/R6UCKCSW4WKMYXPRYZ7UURWTSU \
  | 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: 8fa8250a56e594cc5df1c67f4a46d39536428d73d7184ae0bbd9fc0c2485491e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "48c70bf5ddd36a618314604a3ea201117d2b40687d300556a5119e486df5947f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-03-12T08:33:42Z",
    "title_canon_sha256": "81ae772d59a068287582b8a927602738e551ac2cffb6dd0e7ac215610b33ccf7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.03624",
    "kind": "arxiv",
    "version": 3
  }
}