Pith Number

pith:RCUUDR2C

pith:2016:RCUUDR2CPYEH2CGSU2XS5JLHNX

not attested not anchored not stored refs pending

Superposition operators, Hardy spaces, and Dirichlet type spaces

Daniel Girela, Mar\'ia Auxiliadora M\'arquez, Petros Galanopoulos

arxiv:1611.05265 v2 · 2016-11-16 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RCUUDR2CPYEH2CGSU2XS5JLHNX}

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	2026-05-18T00:18:46.817341Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

88a941c7427e087d08d2a6af2ea5676dec7bbd9254b6c3bbe4057faadc94f359

Aliases

arxiv: 1611.05265 · arxiv_version: 1611.05265v2 · doi: 10.48550/arxiv.1611.05265 · pith_short_12: RCUUDR2CPYEH · pith_short_16: RCUUDR2CPYEH2CGS · pith_short_8: RCUUDR2C

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/RCUUDR2CPYEH2CGSU2XS5JLHNX \
  | 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: 88a941c7427e087d08d2a6af2ea5676dec7bbd9254b6c3bbe4057faadc94f359

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "462a43ed13bccb26bb393ba11a7cf1fab3eb868e344b9ea66d3b0d0a3e22732e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2016-11-16T13:16:45Z",
    "title_canon_sha256": "831b8c0fcebf7c1cc393e927e6673ed5b3e0aac9cb31574699c6de25ce19bc46"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.05265",
    "kind": "arxiv",
    "version": 2
  }
}