Pith Number

pith:VUNHOVN3

pith:2024:VUNHOVN3M6RU55BMNO2P2BJWAS

not attested not anchored not stored refs pending

The space of Hardy-weights for quasilinear operators on discrete graphs

Matthias Keller, Ujjal Das, Yehuda Pinchover

arxiv:2407.02116 v1 · 2024-07-02 · math.AP · math-ph · math.CA · math.FA · math.MP · math.SP

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VUNHOVN3M6RU55BMNO2P2BJWAS}

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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.

Cited by

1 paper in Pith

An optimal fractional Hardy inequality on the discrete half-line

Receipt and verification

First computed	2026-07-05T08:39:10.277732Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad1a7755bb67a34ef42c6bb4fd053604a60b3531dbdcc13a8fbe2feaf731b6a2

Aliases

arxiv: 2407.02116 · arxiv_version: 2407.02116v1 · doi: 10.48550/arxiv.2407.02116 · pith_short_12: VUNHOVN3M6RU · pith_short_16: VUNHOVN3M6RU55BM · pith_short_8: VUNHOVN3

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/VUNHOVN3M6RU55BMNO2P2BJWAS \
  | 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: ad1a7755bb67a34ef42c6bb4fd053604a60b3531dbdcc13a8fbe2feaf731b6a2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3de30adbc31c727e48f64922f50b045a6e4321227dc5745e65488aa5f18cb316",
    "cross_cats_sorted": [
      "math-ph",
      "math.CA",
      "math.FA",
      "math.MP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2024-07-02T10:05:43Z",
    "title_canon_sha256": "c873d2650185c2f50b9711b2284141ff36b7e7ab3ff3a2bbdbbed6f58277e81d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2407.02116",
    "kind": "arxiv",
    "version": 1
  }
}