Pith Number

pith:5TZFU5M6

pith:2013:5TZFU5M6BEYBN63YUGEDS73ATR

not attested not anchored not stored refs pending

Harmonic Bergman spaces, the Poisson equation and the dual of Hardy-type spaces on certain noncompact manifolds

G. Mauceri, M. Vallarino, S. Meda

arxiv:1305.1127 v1 · 2013-05-06 · 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{5TZFU5M6BEYBN63YUGEDS73ATR}

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	2026-05-18T03:26:24.080197Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ecf25a759e093016fb78a188397f609c73787c18f899b262974a49b224bfc580

Aliases

arxiv: 1305.1127 · arxiv_version: 1305.1127v1 · doi: 10.48550/arxiv.1305.1127 · pith_short_12: 5TZFU5M6BEYB · pith_short_16: 5TZFU5M6BEYBN63Y · pith_short_8: 5TZFU5M6

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/5TZFU5M6BEYBN63YUGEDS73ATR \
  | 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: ecf25a759e093016fb78a188397f609c73787c18f899b262974a49b224bfc580

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f21bbeb9cc0c8b3c402e834653f9fea78b3868cf0631b54a88b8bd601ebdbd5a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-05-06T09:29:47Z",
    "title_canon_sha256": "2ab889e5eda86d42f6b955e02b3ed1d6a15aa74f9f50b655d36761e513127808"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.1127",
    "kind": "arxiv",
    "version": 1
  }
}