Pith Number

pith:WJ33KWOJ

pith:2013:WJ33KWOJ7IECHK72SL7Z226R7I

not attested not anchored not stored refs pending

Log-integrability of Rademacher Fourier series, with applications to random analytic functions

Alon Nishry, Fedor Nazarov, Mikhail Sodin

arxiv:1301.0529 v1 · 2013-01-03 · math.CV · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WJ33KWOJ7IECHK72SL7Z226R7I}

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	2026-05-18T00:54:41.979619Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b277b559c9fa0823abfa92ff9d6bd1fa2da2d917f34930fe17cf81c7bbe601f5

Aliases

arxiv: 1301.0529 · arxiv_version: 1301.0529v1 · doi: 10.48550/arxiv.1301.0529 · pith_short_12: WJ33KWOJ7IEC · pith_short_16: WJ33KWOJ7IECHK72 · pith_short_8: WJ33KWOJ

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/WJ33KWOJ7IECHK72SL7Z226R7I \
  | 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: b277b559c9fa0823abfa92ff9d6bd1fa2da2d917f34930fe17cf81c7bbe601f5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7fa067161a778534befdbcdef8209da6e9a2a3df6d3fa4a9c671bb84e153137a",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2013-01-03T18:30:08Z",
    "title_canon_sha256": "b570ee969d9b89165231947b060695fc458a1fc86223e4bfdc8510b5564c0092"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.0529",
    "kind": "arxiv",
    "version": 1
  }
}