Pith Number

pith:O3WNB6ST

pith:2021:O3WNB6STFDUFRVFGT7HJCFIDFX

not attested not anchored not stored refs pending

Embeddings of anisotropic Besov spaces into Sobolev spaces

David Bartusel, Hartmut F\"uhr

arxiv:2109.07829 v1 · 2021-09-16 · 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{O3WNB6STFDUFRVFGT7HJCFIDFX}

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	2026-07-05T03:15:01.657612Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

76ecd0fa5328e858d4a69fce9115032de0565c9f8e231036ed730ea04ce66d93

Aliases

arxiv: 2109.07829 · arxiv_version: 2109.07829v1 · doi: 10.48550/arxiv.2109.07829 · pith_short_12: O3WNB6STFDUF · pith_short_16: O3WNB6STFDUFRVFG · pith_short_8: O3WNB6ST

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/O3WNB6STFDUFRVFGT7HJCFIDFX \
  | 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: 76ecd0fa5328e858d4a69fce9115032de0565c9f8e231036ed730ea04ce66d93

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dc6541652e8bd2d37a7f86a94ce9b3e41b5e75592fd28f7193b49f3dd362d60a",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2021-09-16T09:38:34Z",
    "title_canon_sha256": "fa1f50f4011c85850999e9e507914a22390b8c296ab057e49cf07e309163370c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2109.07829",
    "kind": "arxiv",
    "version": 1
  }
}