Pith Number

pith:YHMUC4QB

pith:2018:YHMUC4QBTPN5BYA7HKGZ4UHZVC

not attested not anchored not stored refs pending

The Haar System in Besov-type Spaces

Dachun Yang, Wen Yuan, Winfried Sickel

arxiv:1808.09583 v2 · 2018-08-28 · math.CA · math.AP · 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{YHMUC4QBTPN5BYA7HKGZ4UHZVC}

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	2026-05-17T23:40:23.984392Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c1d94172019bdbd0e01f3a8d9e50f9a8b11b49c8f42d4e03a60eb98a15d89be7

Aliases

arxiv: 1808.09583 · arxiv_version: 1808.09583v2 · doi: 10.48550/arxiv.1808.09583 · pith_short_12: YHMUC4QBTPN5 · pith_short_16: YHMUC4QBTPN5BYA7 · pith_short_8: YHMUC4QB

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/YHMUC4QBTPN5BYA7HKGZ4UHZVC \
  | 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: c1d94172019bdbd0e01f3a8d9e50f9a8b11b49c8f42d4e03a60eb98a15d89be7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "93f2c4ba7c3fb51d34cab74be7be414d4629e9c6862f7b777495098376f6f333",
    "cross_cats_sorted": [
      "math.AP",
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2018-08-28T23:54:00Z",
    "title_canon_sha256": "ccb1580815cded7691a91077579e0d40905119ec9a2804dcb85846db5d76a823"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.09583",
    "kind": "arxiv",
    "version": 2
  }
}