Pith Number

pith:O543UHPX

pith:2013:O543UHPXGT5MKS2H7QNOW6IK7F

not attested not anchored not stored refs pending

On multipliers for Hardy-Sobolev spaces and holomorphic potentials

Carme Cascante, Joan F\`abrega, Joaqu\'in M. Ortega

arxiv:1305.7350 v1 · 2013-05-31 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{O543UHPXGT5MKS2H7QNOW6IK7F}

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	2026-05-18T01:09:32.691784Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7779ba1df734fac54b47fc1aeb790af943c265317d662df60d8fb73e6451a8cf

Aliases

arxiv: 1305.7350 · arxiv_version: 1305.7350v1 · doi: 10.48550/arxiv.1305.7350 · pith_short_12: O543UHPXGT5M · pith_short_16: O543UHPXGT5MKS2H · pith_short_8: O543UHPX

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/O543UHPXGT5MKS2H7QNOW6IK7F \
  | 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: 7779ba1df734fac54b47fc1aeb790af943c265317d662df60d8fb73e6451a8cf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e35cdf432761e6bada5c6d8dba5d7370cf42f66fcfc0a79def07e83895d497c5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2013-05-31T10:44:24Z",
    "title_canon_sha256": "3cd10ef619bdfc2eb2aa84e6fe2662ba5a2e4d45996b957e7f08d9c1db41ff7b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.7350",
    "kind": "arxiv",
    "version": 1
  }
}