Pith Number

pith:FU7DU5J7

pith:2019:FU7DU5J7IWRSQ6JAJKKVJMP42I

not attested not anchored not stored refs pending

Complex interpolation of vanishing Morrey spaces

Denny Ivanal Hakim, Yoshihiro Sawano

arxiv:1906.03941 v1 · 2019-06-10 · 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{FU7DU5J7IWRSQ6JAJKKVJMP42I}

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	2026-05-17T23:43:44.455728Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2d3e3a753f45a32879204a9554b1fcd206cc47880ba642ec7e1ba0faac12c34e

Aliases

arxiv: 1906.03941 · arxiv_version: 1906.03941v1 · doi: 10.48550/arxiv.1906.03941 · pith_short_12: FU7DU5J7IWRS · pith_short_16: FU7DU5J7IWRSQ6JA · pith_short_8: FU7DU5J7

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/FU7DU5J7IWRSQ6JAJKKVJMP42I \
  | 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: 2d3e3a753f45a32879204a9554b1fcd206cc47880ba642ec7e1ba0faac12c34e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ea283d85240df4a706cc224f4be638e4d6052e703fe5849c7a631f941336e050",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2019-06-10T12:35:19Z",
    "title_canon_sha256": "14c9d85a65a960dcceb0a4a6538e28ac7051d0bbaaf110250f05ee3d41275b69"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.03941",
    "kind": "arxiv",
    "version": 1
  }
}