Pith Number

pith:E5NUNMN2

pith:2016:E5NUNMN2NGX7VEQ2CFCP246XS5

not attested not anchored not stored refs pending

Hardy spaces of vector-valued Dirichlet series

Andreas Defant, Antonio P\'erez

arxiv:1603.02121 v1 · 2016-03-07 · math.FA · 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{E5NUNMN2NGX7VEQ2CFCP246XS5}

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	2026-05-18T01:19:31.601719Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

275b46b1ba69affa921a1144fd73d7977d7c760478a4cd3a570178552934ddea

Aliases

arxiv: 1603.02121 · arxiv_version: 1603.02121v1 · doi: 10.48550/arxiv.1603.02121 · pith_short_12: E5NUNMN2NGX7 · pith_short_16: E5NUNMN2NGX7VEQ2 · pith_short_8: E5NUNMN2

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/E5NUNMN2NGX7VEQ2CFCP246XS5 \
  | 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: 275b46b1ba69affa921a1144fd73d7977d7c760478a4cd3a570178552934ddea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b560d4304cffac202d1e67b7e99fa81c835e5505d623adc3b6594fb581f2c80a",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-03-07T15:57:41Z",
    "title_canon_sha256": "40c51781d93a8512826e15b317e699f38a8282939cbc445817eb222e54c9c333"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.02121",
    "kind": "arxiv",
    "version": 1
  }
}