Pith Number

pith:75XDJXF7

pith:2016:75XDJXF7RJ24BCHRBYGEGGPNJJ

not attested not anchored not stored refs pending

Isotropic and Dominating Mixed Besov Spaces - a Comparison

Van Kien Nguyen, Winfried Sickel

arxiv:1601.04000 v1 · 2016-01-15 · 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{75XDJXF7RJ24BCHRBYGEGGPNJJ}

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	2026-05-18T01:22:49.521246Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ff6e34dcbf8a75c088f10e0c4319ed4a46b14d9317866a1917c35e86be425fa4

Aliases

arxiv: 1601.04000 · arxiv_version: 1601.04000v1 · doi: 10.48550/arxiv.1601.04000 · pith_short_12: 75XDJXF7RJ24 · pith_short_16: 75XDJXF7RJ24BCHR · pith_short_8: 75XDJXF7

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/75XDJXF7RJ24BCHRBYGEGGPNJJ \
  | 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: ff6e34dcbf8a75c088f10e0c4319ed4a46b14d9317866a1917c35e86be425fa4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "76f941b694eeddfdf44c425b8d5db575081e076a9bac97aa2634f57d5b0ec915",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-01-15T16:56:37Z",
    "title_canon_sha256": "b38019415e386dd626362ca0dea9c82f8857b02aa6e14b2efc9360175eab8489"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.04000",
    "kind": "arxiv",
    "version": 1
  }
}