Pith Number

pith:52JKIYA4

pith:2025:52JKIYA4XSQASPEX4GXBWUWXPY

not attested not anchored not stored refs pending

Uncentered Fractional Maximal functions and mean oscillation spaces associated with dyadic Hausdorff content

Prasun Roychowdhury, Riju Basak, You-Wei Benson Chen

arxiv:2506.23206 v1 · 2025-06-29 · math.FA · math.AP · math.CA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{52JKIYA4XSQASPEX4GXBWUWXPY}

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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

A note on Sobolev inequalities in the lower limit case

Receipt and verification

First computed	2026-07-05T11:29:17.728264Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee92a4601cbca0093c97e1ae1b52d77e078e1d49f39d4c1cbcb81da77d12459c

Aliases

arxiv: 2506.23206 · arxiv_version: 2506.23206v1 · doi: 10.48550/arxiv.2506.23206 · pith_short_12: 52JKIYA4XSQA · pith_short_16: 52JKIYA4XSQASPEX · pith_short_8: 52JKIYA4

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/52JKIYA4XSQASPEX4GXBWUWXPY \
  | 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: ee92a4601cbca0093c97e1ae1b52d77e078e1d49f39d4c1cbcb81da77d12459c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b4622d67db17fe620e3be40aaeed757cd50d7f254841d626cdd5581a830be54e",
    "cross_cats_sorted": [
      "math.AP",
      "math.CA"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2025-06-29T12:25:10Z",
    "title_canon_sha256": "c1762a4d3b825a1d31832cd72fe9e3fff79575c59362f03b83555c9ac641b56f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.23206",
    "kind": "arxiv",
    "version": 1
  }
}