pith. sign in
Pith Number

pith:7UNDJNLG

pith:2014:7UNDJNLGAHD7F5A4TY2YSIET5K
not attested not anchored not stored refs pending

Operator-valued dyadic harmonic analysis beyond doubling measures

Jos\'e M. Conde-Alonso, Luis Daniel L\'opez-S\'anchez

arxiv:1412.4937 v1 · 2014-12-16 · math.CA · math.FA · math.OA

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{7UNDJNLGAHD7F5A4TY2YSIET5K}

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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 2026-05-18T02:31:10.068452Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

fd1a34b56601c7f2f41c9e35892093ea8a53b7f46069efd02f5e2444848da20e

Aliases

arxiv: 1412.4937 · arxiv_version: 1412.4937v1 · doi: 10.48550/arxiv.1412.4937 · pith_short_12: 7UNDJNLGAHD7 · pith_short_16: 7UNDJNLGAHD7F5A4 · pith_short_8: 7UNDJNLG
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/7UNDJNLGAHD7F5A4TY2YSIET5K \
  | 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: fd1a34b56601c7f2f41c9e35892093ea8a53b7f46069efd02f5e2444848da20e
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "7071e55e1a46c3c82bdbe5089be2b00163f414786463a52e08d5e5589f200d9c",
    "cross_cats_sorted": [
      "math.FA",
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2014-12-16T10:13:38Z",
    "title_canon_sha256": "610d77d5e8985a3bec2a659761b91b9e121a226a18855aea577cdac7c86ebde7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.4937",
    "kind": "arxiv",
    "version": 1
  }
}