Pith Number

pith:7IVMJEOI

pith:2015:7IVMJEOI6C2PJMFGAQO4VSI574

not attested not anchored not stored refs pending

Besov-Type Spaces with Variable Smoothness and Integrability

Ciqiang Zhuo, Dachun Yang, Wen Yuan

arxiv:1503.04512 v1 · 2015-03-16 · math.CA · 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{7IVMJEOI6C2PJMFGAQO4VSI574}

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	2026-05-18T02:23:24.797233Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fa2ac491c8f0b4f4b0a6041dcac91dff38a3549fb7ac8fbf9b209b058dfacf7d

Aliases

arxiv: 1503.04512 · arxiv_version: 1503.04512v1 · doi: 10.48550/arxiv.1503.04512 · pith_short_12: 7IVMJEOI6C2P · pith_short_16: 7IVMJEOI6C2PJMFG · pith_short_8: 7IVMJEOI

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/7IVMJEOI6C2PJMFGAQO4VSI574 \
  | 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: fa2ac491c8f0b4f4b0a6041dcac91dff38a3549fb7ac8fbf9b209b058dfacf7d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b103daa5f4a50a136b9fa623c8147c53eebb4e5be93f4efc3a8524499e98b276",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-03-16T03:19:57Z",
    "title_canon_sha256": "c7ddc5e73ef695bd772e7361453a4352e8b980daf590c9006897b08a9874d460"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.04512",
    "kind": "arxiv",
    "version": 1
  }
}