Pith Number

pith:2TGXDHRL

pith:2016:2TGXDHRLARHJCBNOASZ2UVSKI7

not attested not anchored not stored refs pending

Generalized Morrey spaces and trace operator

Shohei Nakamura, Takahiro Noi, Yoshihiro Sawano

arxiv:1605.08500 v1 · 2016-05-27 · 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{2TGXDHRLARHJCBNOASZ2UVSKI7}

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	2026-05-18T01:13:29.754201Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d4cd719e2b044e9105ae04b3aa564a47f998ec2478fd1abceb7d262521a0dcbb

Aliases

arxiv: 1605.08500 · arxiv_version: 1605.08500v1 · doi: 10.48550/arxiv.1605.08500 · pith_short_12: 2TGXDHRLARHJ · pith_short_16: 2TGXDHRLARHJCBNO · pith_short_8: 2TGXDHRL

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/2TGXDHRLARHJCBNOASZ2UVSKI7 \
  | 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: d4cd719e2b044e9105ae04b3aa564a47f998ec2478fd1abceb7d262521a0dcbb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f8a472925458cc9697229d046433278872f0a081bf722d8e8bf566f7c143842b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-05-27T03:23:34Z",
    "title_canon_sha256": "44408698fc0638bafb044560f01f445d8eddb026d1522ea40b6791fad6ab3d64"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.08500",
    "kind": "arxiv",
    "version": 1
  }
}