Pith Number

pith:X6AWJ7NY

pith:2016:X6AWJ7NYOHXQUHNQWNRWJLNBUF

not attested not anchored not stored refs pending

Anisotropic Lizorkin--Triebel Spaces with Mixed Norms --- Traces on Smooth Boundaries

Jon Johnsen, Sabrina Munch Hansen, Winfried Sickel

arxiv:1608.04575 v1 · 2016-08-16 · math.AP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{X6AWJ7NYOHXQUHNQWNRWJLNBUF}

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	2026-05-18T01:08:36.818408Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf8164fdb871ef0a1db0b36364ada1a172252620056569cf2b1bddeecf075a76

Aliases

arxiv: 1608.04575 · arxiv_version: 1608.04575v1 · doi: 10.48550/arxiv.1608.04575 · pith_short_12: X6AWJ7NYOHXQ · pith_short_16: X6AWJ7NYOHXQUHNQ · pith_short_8: X6AWJ7NY

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/X6AWJ7NYOHXQUHNQWNRWJLNBUF \
  | 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: bf8164fdb871ef0a1db0b36364ada1a172252620056569cf2b1bddeecf075a76

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8351e190d4f71b56d21549d9a7900ab28716cced6fb3dd0b8372346c46d7afa8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-08-16T12:42:41Z",
    "title_canon_sha256": "02907e840fb099e0e7bf87c6d897b24c630ea91e7e8ea419f1f3bf6f0e35b2e8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.04575",
    "kind": "arxiv",
    "version": 1
  }
}