Pith Number

pith:RR7RR662

pith:2015:RR7RR662B3EXU35U6YG63ZECE7

not attested not anchored not stored refs pending

Compact composition operators with non-linear symbols on the $H^2$ space of Dirichlet series

Fr\'ed\'eric Bayart, Ole Fredrik Brevig

arxiv:1505.02944 v1 · 2015-05-12 · 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{RR7RR662B3EXU35U6YG63ZECE7}

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	2026-05-18T00:21:00.482654Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8c7f18fbda0ec97a6fb4f60dede48227f03ef296ee01fd5fcbe0bb4c5d125218

Aliases

arxiv: 1505.02944 · arxiv_version: 1505.02944v1 · doi: 10.48550/arxiv.1505.02944 · pith_short_12: RR7RR662B3EX · pith_short_16: RR7RR662B3EXU35U · pith_short_8: RR7RR662

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/RR7RR662B3EXU35U6YG63ZECE7 \
  | 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: 8c7f18fbda0ec97a6fb4f60dede48227f03ef296ee01fd5fcbe0bb4c5d125218

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6500ea1905a221e17806585347f118abc6a31876f3c7602b5b2916a1822ad413",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-05-12T10:19:32Z",
    "title_canon_sha256": "04d94b822184a7411e5f0cfc47c8b420f08d6fe1f76c6600ee7bf1e218d8eb32"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.02944",
    "kind": "arxiv",
    "version": 1
  }
}