Pith Number

pith:MIWYL3AB

pith:2015:MIWYL3ABSQERRDHWHCRBOHWW2J

not attested not anchored not stored refs pending

General coorbit space theory for quasi-Banach spaces and inhomogeneous function spaces with variable smoothness and integrability

Henning Kempka, Martin Sch\"afer, Tino Ullrich

arxiv:1506.07346 v3 · 2015-06-24 · 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{MIWYL3ABSQERRDHWHCRBOHWW2J}

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	2026-05-18T01:07:21.159601Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

622d85ec019409188cf638a2171ed6d2445c5c503da0a17ba6dfd53d1d83f854

Aliases

arxiv: 1506.07346 · arxiv_version: 1506.07346v3 · doi: 10.48550/arxiv.1506.07346 · pith_short_12: MIWYL3ABSQER · pith_short_16: MIWYL3ABSQERRDHW · pith_short_8: MIWYL3AB

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/MIWYL3ABSQERRDHWHCRBOHWW2J \
  | 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: 622d85ec019409188cf638a2171ed6d2445c5c503da0a17ba6dfd53d1d83f854

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7d0a8430e70fc0e866237f7cde830bfcd6c7b729c6ad072206b6cf6f09b970ba",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-06-24T12:43:49Z",
    "title_canon_sha256": "d46af884e343fd394646e421ee63f081d2bfe85a3f335b688dfa0d2b0991c6d6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.07346",
    "kind": "arxiv",
    "version": 3
  }
}