Pith Number

pith:H7UUKVTS

pith:2003:H7UUKVTS2RNTXTIEAQPKO6IUAE

not attested not anchored not stored refs pending

Maximal functions associated with Fourier multipliers of Mikhlin-H"ormander type

Andreas Seeger, Loukas Grafakos, Michael Christ, Petr Honzik

arxiv:math/0311538 v3 · 2003-11-28 · 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{H7UUKVTS2RNTXTIEAQPKO6IUAE}

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	2026-07-04T17:23:15.277854Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3fe9455672d45b3bcd04041ea7791401077e049737cf06eee9a7778cf2f22346

Aliases

arxiv: math/0311538 · arxiv_version: math/0311538v3 · doi: 10.48550/arxiv.math/0311538 · pith_short_12: H7UUKVTS2RNT · pith_short_16: H7UUKVTS2RNTXTIE · pith_short_8: H7UUKVTS

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/H7UUKVTS2RNTXTIEAQPKO6IUAE \
  | 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: 3fe9455672d45b3bcd04041ea7791401077e049737cf06eee9a7778cf2f22346

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1b0cb1672e73765e051945ac737b73425b717ff0efc76a90b8e108fc9bb50b74",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.CA",
    "submitted_at": "2003-11-28T20:25:57Z",
    "title_canon_sha256": "9e4e5c64fc8a203357217057cf860530d7469d65582d2e9e38b0324d17ef7129"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0311538",
    "kind": "arxiv",
    "version": 3
  }
}