Pith Number

pith:2FUGIIR7

pith:2014:2FUGIIR7GGW2VQO4QPMWYAERBG

not attested not anchored not stored refs pending

Embedding theorems for Bergman spaces via harmonic analysis

Jos\'e \'Angel Pel\'aez, Jouni R\"atty\"a

arxiv:1411.1648 v1 · 2014-11-06 · math.CV · 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{2FUGIIR7GGW2VQO4QPMWYAERBG}

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	2026-05-18T02:38:27.280842Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d16864223f31adaac1dc83d96c009109b5a61d829d83c923a6323d02455bd8df

Aliases

arxiv: 1411.1648 · arxiv_version: 1411.1648v1 · doi: 10.48550/arxiv.1411.1648 · pith_short_12: 2FUGIIR7GGW2 · pith_short_16: 2FUGIIR7GGW2VQO4 · pith_short_8: 2FUGIIR7

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/2FUGIIR7GGW2VQO4QPMWYAERBG \
  | 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: d16864223f31adaac1dc83d96c009109b5a61d829d83c923a6323d02455bd8df

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "65e3250bb8d026a131057acd19701407af75ecde89687f10de2534148f2ca35c",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2014-11-06T16:06:44Z",
    "title_canon_sha256": "ad68da1c9e23169db857ca7a46e50629af61caabff7774bdcb5b05cc8b4df70e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.1648",
    "kind": "arxiv",
    "version": 1
  }
}