Pith Number

pith:VYPKANRE

pith:2015:VYPKANREPEHIBNABQKBQOOQXJH

not attested not anchored not stored refs pending

Higher order Riesz transforms on noncompact symmetric spaces

G. Mauceri, M. Vallarino, S. Meda

arxiv:1507.04855 v2 · 2015-07-17 · 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{VYPKANREPEHIBNABQKBQOOQXJH}

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	2026-05-18T00:33:44.295158Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ae1ea03624790e80b4018283073a1749f4091fa187869c76697e1b30838378f1

Aliases

arxiv: 1507.04855 · arxiv_version: 1507.04855v2 · doi: 10.48550/arxiv.1507.04855 · pith_short_12: VYPKANREPEHI · pith_short_16: VYPKANREPEHIBNAB · pith_short_8: VYPKANRE

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/VYPKANREPEHIBNABQKBQOOQXJH \
  | 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: ae1ea03624790e80b4018283073a1749f4091fa187869c76697e1b30838378f1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0ef9d1e457a0b579a6b611d6e8481b0021a250b07efca08bc5f3eaf6bb3f2af7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-07-17T07:33:54Z",
    "title_canon_sha256": "4c81478df98335a3109c9e0eee660846ddabc3d4127029f5012fbc9b1b5860d6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.04855",
    "kind": "arxiv",
    "version": 2
  }
}