Pith Number

pith:AK6E64UO

pith:2010:AK6E64UOGUYCOMR5DWJAWAG5P5

not attested not anchored not stored refs pending

On the relation of Carleson's embedding and the maximal theorem in the context of Banach space geometry

Mikko Kemppainen, Tuomas Hyt\"onen

arxiv:1002.2876 v2 · 2010-02-15 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AK6E64UOGUYCOMR5DWJAWAG5P5}

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	2026-05-18T04:04:28.620091Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

02bc4f728e353027323d1d920b00dd7f792b07367f7170317a5cc12c07f1106f

Aliases

arxiv: 1002.2876 · arxiv_version: 1002.2876v2 · doi: 10.48550/arxiv.1002.2876 · pith_short_12: AK6E64UOGUYC · pith_short_16: AK6E64UOGUYCOMR5 · pith_short_8: AK6E64UO

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/AK6E64UOGUYCOMR5DWJAWAG5P5 \
  | 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: 02bc4f728e353027323d1d920b00dd7f792b07367f7170317a5cc12c07f1106f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ce5963ae6de586d99c169f131bd7c88447ecc761c757b1462cef4a27c0b942db",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2010-02-15T13:14:40Z",
    "title_canon_sha256": "a54cffecb660ccd5cd1444952c9f3add9dea69febefa11d26a243bd0a1965eff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1002.2876",
    "kind": "arxiv",
    "version": 2
  }
}