Pith Number

pith:WTKXWUFE

pith:2012:WTKXWUFEGXOVSNGEKFK33CWF3U

not attested not anchored not stored refs pending

On generalized Hardy classes of Dirichlet series

Johan Andersson

arxiv:1207.5337 v1 · 2012-07-23 · math.CV · math.CA · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WTKXWUFEGXOVSNGEKFK33CWF3U}

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	2026-05-18T03:50:23.834063Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b4d57b50a435dd5934c45155bd8ac5dd3ba9bff673e3281ce821574aef02a3bd

Aliases

arxiv: 1207.5337 · arxiv_version: 1207.5337v1 · doi: 10.48550/arxiv.1207.5337 · pith_short_12: WTKXWUFEGXOV · pith_short_16: WTKXWUFEGXOVSNGE · pith_short_8: WTKXWUFE

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/WTKXWUFEGXOVSNGEKFK33CWF3U \
  | 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: b4d57b50a435dd5934c45155bd8ac5dd3ba9bff673e3281ce821574aef02a3bd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "16b1538a3297b41c54cdde7a5ca9effe81d5622d423a29568217ffd31db2a2ee",
    "cross_cats_sorted": [
      "math.CA",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2012-07-23T10:02:33Z",
    "title_canon_sha256": "08ad2b220156497b134a4bf466586c28583e4e272e64aac370b73d47b7970501"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.5337",
    "kind": "arxiv",
    "version": 1
  }
}