Pith Number

pith:QT7WNVZH

pith:2016:QT7WNVZHZ3YEE5PXEBWZQJWCJC

not attested not anchored not stored refs pending

A classification of anisotropic Besov spaces

Hartmut F\"uhr, Jahangir Cheshmavar

arxiv:1609.06083 v1 · 2016-09-20 · 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{QT7WNVZHZ3YEE5PXEBWZQJWCJC}

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	2026-05-18T01:04:16.711232Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

84ff66d727cef04275f7206d9826c248af6637d78bf6a4ba690ca74bb5d31eae

Aliases

arxiv: 1609.06083 · arxiv_version: 1609.06083v1 · doi: 10.48550/arxiv.1609.06083 · pith_short_12: QT7WNVZHZ3YE · pith_short_16: QT7WNVZHZ3YEE5PX · pith_short_8: QT7WNVZH

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/QT7WNVZHZ3YEE5PXEBWZQJWCJC \
  | 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: 84ff66d727cef04275f7206d9826c248af6637d78bf6a4ba690ca74bb5d31eae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7db93e0fed6087741ccc6b037292a5cfebb4496beae732e51d75721aa420eef4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-09-20T10:23:49Z",
    "title_canon_sha256": "0654f4d445dd1f6d66d86603e96d1ca74a3361244f94fcbbf83bdf3e762b98dc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.06083",
    "kind": "arxiv",
    "version": 1
  }
}