Pith Number

pith:M5SHF6CB

pith:2008:M5SHF6CBGLMU3CXZVFRX6HDO64

not attested not anchored not stored refs pending

Hardy type spaces on certain noncompact manifolds and applications

G. Mauceri, M. Vallarino, S. Meda

arxiv:0812.4209 v2 · 2008-12-22 · 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{M5SHF6CBGLMU3CXZVFRX6HDO64}

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	2026-05-18T02:58:10.855901Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

676472f84132d94d8af9a9637f1c6ef70330db116d5e353967c30136a45faa7d

Aliases

arxiv: 0812.4209 · arxiv_version: 0812.4209v2 · doi: 10.48550/arxiv.0812.4209 · pith_short_12: M5SHF6CBGLMU · pith_short_16: M5SHF6CBGLMU3CXZ · pith_short_8: M5SHF6CB

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/M5SHF6CBGLMU3CXZVFRX6HDO64 \
  | 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: 676472f84132d94d8af9a9637f1c6ef70330db116d5e353967c30136a45faa7d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bd5c359384772edf8d0742a2286845d4dc6bf8a84d6bf5bf6fdb5c5cf32d6f78",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2008-12-22T14:59:06Z",
    "title_canon_sha256": "3959e648146aeb98dd9c174eaa05e84b9fa502bdb19f167bb342114461bad288"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0812.4209",
    "kind": "arxiv",
    "version": 2
  }
}