Pith Number

pith:23RHKPQN

pith:2024:23RHKPQNVQ36G6XBZ4ZFQGBNGL

not attested not anchored not stored refs pending

Classifying Triebel-Lizorkin capacities in metric spaces

Antti V. V\"ah\"akangas, Juha Lehrb\"ack, Kaushik Mohanta

arxiv:2403.12513 v1 · 2024-03-19 · math.CA · math.AP

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\usepackage{pith}
\pithnumber{23RHKPQNVQ36G6XBZ4ZFQGBNGL}

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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

Self-improvement of fractional Hardy inequalities in metric measure spaces via hyperbolic fillings

Receipt and verification

First computed	2026-07-05T07:58:02.533144Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d6e2753e0dac37e37ae1cf3258182d32fb42cd1ba10e68baffc3cc2cfa876719

Aliases

arxiv: 2403.12513 · arxiv_version: 2403.12513v1 · doi: 10.48550/arxiv.2403.12513 · pith_short_12: 23RHKPQNVQ36 · pith_short_16: 23RHKPQNVQ36G6XB · pith_short_8: 23RHKPQN

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/23RHKPQNVQ36G6XBZ4ZFQGBNGL \
  | 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: d6e2753e0dac37e37ae1cf3258182d32fb42cd1ba10e68baffc3cc2cfa876719

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f832d032cb9215c92d80d995bd5865d1e8d5c638e3926c0a7965da725b240003",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2024-03-19T07:29:08Z",
    "title_canon_sha256": "05b696e35c555ecec3328dfcfca77fbad1bc842e36037952595164ae366b8d62"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2403.12513",
    "kind": "arxiv",
    "version": 1
  }
}