Pith Number

pith:D3J3M6GL

pith:2009:D3J3M6GLQH2YDFLK5MXLU6HFZZ

not attested not anchored not stored refs pending

Orlicz-Hardy Spaces Associated with Operators Satisfying Davies-Gaffney Estimates

Dachun Yang, Renjin Jiang

arxiv:0903.4494 v2 · 2009-03-26 · 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{D3J3M6GLQH2YDFLK5MXLU6HFZZ}

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	2026-05-18T04:42:14.700502Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1ed3b678cb81f581956aeb2eba78e5ce673c8a765e979d93f8f4aea98d47a478

Aliases

arxiv: 0903.4494 · arxiv_version: 0903.4494v2 · doi: 10.48550/arxiv.0903.4494 · pith_short_12: D3J3M6GLQH2Y · pith_short_16: D3J3M6GLQH2YDFLK · pith_short_8: D3J3M6GL

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/D3J3M6GLQH2YDFLK5MXLU6HFZZ \
  | 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: 1ed3b678cb81f581956aeb2eba78e5ce673c8a765e979d93f8f4aea98d47a478

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "332eab99ec9f3d65c10d910e8b2e3d26ee909aeb8809a22c8222c10c7d9b2e3c",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2009-03-26T01:15:46Z",
    "title_canon_sha256": "4417fbdd0211ed767040f9e11be9161148e23c9ca953c5ebeab98a6813fbdc9f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0903.4494",
    "kind": "arxiv",
    "version": 2
  }
}