Pith Number

pith:X5NZSLK2

pith:2011:X5NZSLK2FFTMW2POD5BYHBHWOC

not attested not anchored not stored refs pending

Vanishing Mean Oscillation Spaces Associated with Operators Satisfying Davies-Gaffney Estimates

Dachun Yang, Wen Yuan, Yiyu Liang

arxiv:1107.4408 v1 · 2011-07-22 · 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{X5NZSLK2FFTMW2POD5BYHBHWOC}

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	2026-05-18T02:29:25.592744Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf5b992d5a2966cb69ee1f438384f670bc3c4622e78dbfac56d22d758b9f0375

Aliases

arxiv: 1107.4408 · arxiv_version: 1107.4408v1 · doi: 10.48550/arxiv.1107.4408 · pith_short_12: X5NZSLK2FFTM · pith_short_16: X5NZSLK2FFTMW2PO · pith_short_8: X5NZSLK2

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/X5NZSLK2FFTMW2POD5BYHBHWOC \
  | 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: bf5b992d5a2966cb69ee1f438384f670bc3c4622e78dbfac56d22d758b9f0375

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b41881d4427096d478b5c66ac7dbf41642f2d6bdf67b0c5031f3b8a0ede22471",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2011-07-22T01:29:00Z",
    "title_canon_sha256": "e6233d7ba8f986c6dc12cf964d4e69f75663717a561b20a9b8fc7d2c36c11201"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.4408",
    "kind": "arxiv",
    "version": 1
  }
}