Pith Number

pith:PHAFKUTV

pith:2017:PHAFKUTVEQYXFEB7T5776QFTXX

not attested not anchored not stored refs pending

Weighted Hardy spaces associated with elliptic operators. Part II: Characterizations of $H^1_L(w)$

Cruz Prisuelos-Arribas, Jos\'e Mar\'ia Martell

arxiv:1701.00920 v3 · 2017-01-04 · math.CA · 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{PHAFKUTVEQYXFEB7T5776QFTXX}

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	2026-05-18T00:03:50.401152Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

79c0555275243172903f9f7fff40b3bdce1f2d56530ff0fe35fabe5c71cd642a

Aliases

arxiv: 1701.00920 · arxiv_version: 1701.00920v3 · doi: 10.48550/arxiv.1701.00920 · pith_short_12: PHAFKUTVEQYX · pith_short_16: PHAFKUTVEQYXFEB7 · pith_short_8: PHAFKUTV

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/PHAFKUTVEQYXFEB7T5776QFTXX \
  | 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: 79c0555275243172903f9f7fff40b3bdce1f2d56530ff0fe35fabe5c71cd642a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "455078711224c42892d805e22116be07095b711a7c18baa4e451acbb94a9e8f3",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2017-01-04T07:38:39Z",
    "title_canon_sha256": "bc18e91e3390d9abf099a224d6b299d09092fa9d812788c943d53952f048f2b4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.00920",
    "kind": "arxiv",
    "version": 3
  }
}