Pith Number

pith:7ZUGASK4

pith:2014:7ZUGASK4ALCCWL4UTBQCDPMTID

not attested not anchored not stored refs pending

Factorization of some Hardy type spaces of holomorphic functions

Aline Bonami, Luong Dang Ky

arxiv:1406.5438 v2 · 2014-06-20 · math.CA · 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{7ZUGASK4ALCCWL4UTBQCDPMTID}

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	2026-05-18T02:19:16.776301Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe6860495c02c42b2f94986021bd9340ded09c4e62defa1f20f129ca31c1794c

Aliases

arxiv: 1406.5438 · arxiv_version: 1406.5438v2 · doi: 10.48550/arxiv.1406.5438 · pith_short_12: 7ZUGASK4ALCC · pith_short_16: 7ZUGASK4ALCCWL4U · pith_short_8: 7ZUGASK4

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/7ZUGASK4ALCCWL4UTBQCDPMTID \
  | 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: fe6860495c02c42b2f94986021bd9340ded09c4e62defa1f20f129ca31c1794c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "13f09160af9fb3dc78c9f7c546106570912065529ef8dfc0958e69c609d16560",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2014-06-20T15:57:17Z",
    "title_canon_sha256": "c6810142212556d1896bc85140e8c38bede79514825586d2800fb54b9d431d61"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.5438",
    "kind": "arxiv",
    "version": 2
  }
}