pith. sign in
Pith Number

pith:5NM7QIPA

pith:2006:5NM7QIPAVL7Q5TZWKTM76UJYQT
not attested not anchored not stored refs pending

Functions of bounded variation, the derivative of the one dimensional maximal function, and applications to inequalities

J. M. Aldaz, J. P\'erez L\'azaro

arxiv:math/0601044 v2 · 2006-01-03 · math.CA

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{5NM7QIPAVL7Q5TZWKTM76UJYQT}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

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 2026-05-18T04:40:21.824848Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

eb59f821e0aaff0ecf3654d9ff513884ead64c153392dbac8d487826d9c7e023

Aliases

arxiv: math/0601044 · arxiv_version: math/0601044v2 · doi: 10.48550/arxiv.math/0601044 · pith_short_12: 5NM7QIPAVL7Q · pith_short_16: 5NM7QIPAVL7Q5TZW · pith_short_8: 5NM7QIPA
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/5NM7QIPAVL7Q5TZWKTM76UJYQT \
  | 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: eb59f821e0aaff0ecf3654d9ff513884ead64c153392dbac8d487826d9c7e023
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "bd8455f144d511011e21c278f15eed6e30c4ad38b1e5a879b1080f9bb8f75e46",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.CA",
    "submitted_at": "2006-01-03T14:37:14Z",
    "title_canon_sha256": "d71030cdacca90b22ff278f9a3250e099695e283cfbe41bf371a95b6d3d7da07"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0601044",
    "kind": "arxiv",
    "version": 2
  }
}