Pith Number

pith:LLVYDE2A

pith:2016:LLVYDE2AYX3GQUN73WSSEJNFJQ

not attested not anchored not stored refs pending

A Beurling Theorem for Generalized Hardy Spaces on a Multiply Connected Domain

Don Hadwin, Eric Nordgren, Yanni Chen, Zhe Liu

arxiv:1606.09143 v2 · 2016-06-29 · 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{LLVYDE2AYX3GQUN73WSSEJNFJQ}

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	2026-05-18T01:11:30.360377Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5aeb819340c5f66851bfdda52225a54c3eba4d021fe16fa33327ae4a5d152735

Aliases

arxiv: 1606.09143 · arxiv_version: 1606.09143v2 · doi: 10.48550/arxiv.1606.09143 · pith_short_12: LLVYDE2AYX3G · pith_short_16: LLVYDE2AYX3GQUN7 · pith_short_8: LLVYDE2A

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/LLVYDE2AYX3GQUN73WSSEJNFJQ \
  | 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: 5aeb819340c5f66851bfdda52225a54c3eba4d021fe16fa33327ae4a5d152735

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c6feb777895c54b98c8eeedd5bbf49641c537d41103fca825d1e58b76336b5c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-06-29T15:07:59Z",
    "title_canon_sha256": "45cbfe91e3ffc6c72e40f858b11c5084e95a75fa587f101089d7aef5f34df33f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.09143",
    "kind": "arxiv",
    "version": 2
  }
}