Pith Number

pith:FZMRJDPH

pith:2013:FZMRJDPHDWHKJRSUPKJNXDTNMJ

not attested not anchored not stored refs pending

Analytic Campanato Spaces and Their Compositions

Cheng Yuan, Jie Xiao

arxiv:1303.5032 v3 · 2013-03-20 · math.CV · 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{FZMRJDPHDWHKJRSUPKJNXDTNMJ}

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	2026-05-18T03:02:35.174959Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2e59148de71d8ea4c6547a92db8e6d6244a4e68546020d915c11eb13b9174cd5

Aliases

arxiv: 1303.5032 · arxiv_version: 1303.5032v3 · doi: 10.48550/arxiv.1303.5032 · pith_short_12: FZMRJDPHDWHK · pith_short_16: FZMRJDPHDWHKJRSU · pith_short_8: FZMRJDPH

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/FZMRJDPHDWHKJRSUPKJNXDTNMJ \
  | 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: 2e59148de71d8ea4c6547a92db8e6d6244a4e68546020d915c11eb13b9174cd5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d4fb73d50cf4c14923a9fe1908b0588c7ffe6e86976782b4b0621c9db5abb687",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2013-03-20T19:11:46Z",
    "title_canon_sha256": "abfcddaa657719675b7ff26684d785f038951b55b886f86a17c686dec7a06d02"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.5032",
    "kind": "arxiv",
    "version": 3
  }
}