Pith Number

pith:4H5BJAIY

pith:2015:4H5BJAIY5AMIBNXIZA3PHN4ZYR

not attested not anchored not stored refs pending

A note on local Hardy spaces

Mikko Kemppainen

arxiv:1505.03347 v2 · 2015-05-13 · 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{4H5BJAIY5AMIBNXIZA3PHN4ZYR}

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	2026-05-18T00:31:22.855596Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e1fa148118e81880b6e8c836f3b799c4581d4bda470fe1345951d39eacba9414

Aliases

arxiv: 1505.03347 · arxiv_version: 1505.03347v2 · doi: 10.48550/arxiv.1505.03347 · pith_short_12: 4H5BJAIY5AMI · pith_short_16: 4H5BJAIY5AMIBNXI · pith_short_8: 4H5BJAIY

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/4H5BJAIY5AMIBNXIZA3PHN4ZYR \
  | 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: e1fa148118e81880b6e8c836f3b799c4581d4bda470fe1345951d39eacba9414

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b29ffcfd8aa2d3ba6e24995b5723858439f19d97f67841b2eb984f4fb87d75b8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-05-13T12:05:28Z",
    "title_canon_sha256": "17d4d573eb73170c8ab8a9d309feffcfc10c44cbed86f29f0e41bc337e3dc3c5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.03347",
    "kind": "arxiv",
    "version": 2
  }
}