Pith Number

pith:27OEKLNP

pith:2015:27OEKLNPVC32APGDNFNO4UYSW2

not attested not anchored not stored refs pending

Two weight norm inequalities for vector-valued operators

Carme Cascante, Joaquin M. Ortega

arxiv:1506.06901 v2 · 2015-06-23 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{27OEKLNPVC32APGDNFNO4UYSW2}

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	2026-05-17T23:53:13.767368Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d7dc452dafa8b7a03cc3695aee5312b6aaa50e3c05b53530838cff210c69a384

Aliases

arxiv: 1506.06901 · arxiv_version: 1506.06901v2 · doi: 10.48550/arxiv.1506.06901 · pith_short_12: 27OEKLNPVC32 · pith_short_16: 27OEKLNPVC32APGD · pith_short_8: 27OEKLNP

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/27OEKLNPVC32APGDNFNO4UYSW2 \
  | 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: d7dc452dafa8b7a03cc3695aee5312b6aaa50e3c05b53530838cff210c69a384

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3b0ede9b8e8777f7f0d8e4dbc844c10aabd7e7f84d3f99e8482fce0f5694f20b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-06-23T08:23:05Z",
    "title_canon_sha256": "4bf977139befd736f402e3da01da8176cad5e2d54fe428d680ccfc8637151480"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.06901",
    "kind": "arxiv",
    "version": 2
  }
}