Pith Number

pith:SMJCDYL7

pith:2026:SMJCDYL7NPFZ4J5XSI7QWXBW6D

not attested not anchored not stored refs pending

Hardy spaces on Riemann surfaces under ramified coverings

A. Zuevsky

arxiv:2606.22453 v1 · 2026-06-21 · 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{SMJCDYL7NPFZ4J5XSI7QWXBW6D}

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	2026-06-23T02:13:38.731858Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

931221e17f6bcb9e27b7923f0b5c36f0ce152fc08e2543a33812e5ef3ba95297

Aliases

arxiv: 2606.22453 · arxiv_version: 2606.22453v1 · doi: 10.48550/arxiv.2606.22453 · pith_short_12: SMJCDYL7NPFZ · pith_short_16: SMJCDYL7NPFZ4J5X · pith_short_8: SMJCDYL7

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/SMJCDYL7NPFZ4J5XSI7QWXBW6D \
  | 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: 931221e17f6bcb9e27b7923f0b5c36f0ce152fc08e2543a33812e5ef3ba95297

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eeaba6c01bab24fbd037dd4bf64bda7d378ab798950cb9d1abe4b4773a84c6df",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2026-06-21T11:52:32Z",
    "title_canon_sha256": "c8bc9358c5bff857beb6980db84fd56cc4d103d9457ce4fbac1ddc29afbff10b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.22453",
    "kind": "arxiv",
    "version": 1
  }
}