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Pith Number

pith:35H2ULNH

pith:2013:35H2ULNHJ3L6TEVLKBUMZPBNFB
not attested not anchored not stored refs pending

Powers of distances to lower dimensional sets as Muckenhoupt weights

Hugo Aimar, Marilina Carena, Marisa Toschi, Ricardo Dur\'an

arxiv:1306.0893 v1 · 2013-06-03 · math.FA

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{35H2ULNHJ3L6TEVLKBUMZPBNFB}

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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 2026-05-18T03:21:44.921055Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

df4faa2da74ed7e992ab5068ccbc2d28481bd2f8e84e9d075cc07c5ebe0c88da

Aliases

arxiv: 1306.0893 · arxiv_version: 1306.0893v1 · doi: 10.48550/arxiv.1306.0893 · pith_short_12: 35H2ULNHJ3L6 · pith_short_16: 35H2ULNHJ3L6TEVL · pith_short_8: 35H2ULNH
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/35H2ULNHJ3L6TEVLKBUMZPBNFB \
  | 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: df4faa2da74ed7e992ab5068ccbc2d28481bd2f8e84e9d075cc07c5ebe0c88da
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "3d53bf6035b155e6a491b11946c07b22a47b962ad0bda952a1aea7ed53af0ee0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-06-03T20:01:08Z",
    "title_canon_sha256": "43892115343ee5e81e5d1b02fc7e84ffca9513f69b7b9eff5ae807023c5cb44a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.0893",
    "kind": "arxiv",
    "version": 1
  }
}