Pith Number

pith:OCC6HRPR

pith:2016:OCC6HRPRYMZCGJQ35OTTXZUYC4

not attested not anchored not stored refs pending

Factorization in mixed norm Hardy and BMO spaces

Richard Lechner

arxiv:1610.01506 v1 · 2016-10-05 · 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{OCC6HRPRYMZCGJQ35OTTXZUYC4}

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	2026-05-18T00:04:24.328674Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7085e3c5f1c33223261beba73be69817199b8d2ff3bb36e6258bc96ac848f5ed

Aliases

arxiv: 1610.01506 · arxiv_version: 1610.01506v1 · doi: 10.48550/arxiv.1610.01506 · pith_short_12: OCC6HRPRYMZC · pith_short_16: OCC6HRPRYMZCGJQ3 · pith_short_8: OCC6HRPR

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/OCC6HRPRYMZCGJQ35OTTXZUYC4 \
  | 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: 7085e3c5f1c33223261beba73be69817199b8d2ff3bb36e6258bc96ac848f5ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "91791bd8371f90683eec4d4f6497d180b5983b0b95f6d53328a53978fea4364e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-10-05T16:22:05Z",
    "title_canon_sha256": "ac84532248793ccc93d167648f7a953c19734ef9ca014882ae51401230869f9d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.01506",
    "kind": "arxiv",
    "version": 1
  }
}