Pith Number

pith:GCALDOYC

pith:2016:GCALDOYCRKOK4UF5RUIKCIIE4B

not attested not anchored not stored refs pending

Embeddings between weighted complementary local Morrey-type spaces and weighted local Morrey-type spaces

Amiran Gogatishvili, Rza Mustafayev, Tu\u{g}\c{c}e \"Unver

arxiv:1606.06745 v1 · 2016-06-21 · 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{GCALDOYCRKOK4UF5RUIKCIIE4B}

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	2026-05-18T01:12:01.184374Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3080b1bb028a9cae50bd8d10a12104e04604e6fac88a00e78270b6b21a812ce0

Aliases

arxiv: 1606.06745 · arxiv_version: 1606.06745v1 · doi: 10.48550/arxiv.1606.06745 · pith_short_12: GCALDOYCRKOK · pith_short_16: GCALDOYCRKOK4UF5 · pith_short_8: GCALDOYC

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/GCALDOYCRKOK4UF5RUIKCIIE4B \
  | 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: 3080b1bb028a9cae50bd8d10a12104e04604e6fac88a00e78270b6b21a812ce0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c04dbf9a45e962c9c67c562dc6da9896239b8bf616c84b7e0af42fee7c5b328c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-06-21T20:02:18Z",
    "title_canon_sha256": "10072db7def9e91bd9f3f498c811befb9a72b798c9f0bde88ad9266cac2c3fdf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.06745",
    "kind": "arxiv",
    "version": 1
  }
}