Pith Number

pith:Q2DDFAKW

pith:2015:Q2DDFAKWE7LUWZXNRA3WYV7TNS

not attested not anchored not stored refs pending

Hardy spaces of holomorphic functions for domains in $\mathbb C^n$ with minimal smoothness

Elias M. Stein, Loredana Lanzani

arxiv:1506.03748 v1 · 2015-06-11 · 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{Q2DDFAKWE7LUWZXNRA3WYV7TNS}

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	2026-05-18T00:52:53.209695Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

868632815627d74b66ed88376c57f36c99a5df4027a043c14b5e52091308b25e

Aliases

arxiv: 1506.03748 · arxiv_version: 1506.03748v1 · doi: 10.48550/arxiv.1506.03748 · pith_short_12: Q2DDFAKWE7LU · pith_short_16: Q2DDFAKWE7LUWZXN · pith_short_8: Q2DDFAKW

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/Q2DDFAKWE7LUWZXNRA3WYV7TNS \
  | 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: 868632815627d74b66ed88376c57f36c99a5df4027a043c14b5e52091308b25e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bc2ff87f362ee6313df45db44b9277143ba4d63a531c74dd2e5e29951abc93f8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2015-06-11T17:27:10Z",
    "title_canon_sha256": "adada8103cdcd76cf9985ca79d291413ae83b9c6d7834339799b4b3bde84d55b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.03748",
    "kind": "arxiv",
    "version": 1
  }
}