Pith Number

pith:7YNKXRHN

pith:2017:7YNKXRHNNJA6B4FSBSJXIUBIL3

not attested not anchored not stored refs pending

A new approach to Nikolskii-Besov classes

Egor D. Kosov, Svetlana N. Popova, Vladimir I. Bogachev

arxiv:1707.06477 v1 · 2017-07-20 · 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{7YNKXRHNNJA6B4FSBSJXIUBIL3}

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	2026-05-18T00:39:53.715522Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe1aabc4ed6a41e0f0b20c937450285ede35ef9ce590f6cff585b664f320aa74

Aliases

arxiv: 1707.06477 · arxiv_version: 1707.06477v1 · doi: 10.48550/arxiv.1707.06477 · pith_short_12: 7YNKXRHNNJA6 · pith_short_16: 7YNKXRHNNJA6B4FS · pith_short_8: 7YNKXRHN

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/7YNKXRHNNJA6B4FSBSJXIUBIL3 \
  | 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: fe1aabc4ed6a41e0f0b20c937450285ede35ef9ce590f6cff585b664f320aa74

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9820a5234927118b0d87da05838ec5f755be7c00773e78f023b50e0fb36c9581",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-07-20T12:41:56Z",
    "title_canon_sha256": "3816272e647e64fbb234d32d9596a1eafde2248c3087dc34edc2234212b23262"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.06477",
    "kind": "arxiv",
    "version": 1
  }
}