Pith Number

pith:G4Y4YMSS

pith:2011:G4Y4YMSSE6R6XYXBTGFWRPSJ6K

not attested not anchored not stored refs pending

Foundations of vector-valued singular integrals revisited---with random dyadic cubes

Tuomas P. Hyt\"onen

arxiv:1110.5826 v1 · 2011-10-26 · math.FA · 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{G4Y4YMSSE6R6XYXBTGFWRPSJ6K}

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	2026-05-18T04:10:11.155632Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3731cc325227a3ebe2e1998b68be49f290bab3f0ed256961621e86c467b21889

Aliases

arxiv: 1110.5826 · arxiv_version: 1110.5826v1 · doi: 10.48550/arxiv.1110.5826 · pith_short_12: G4Y4YMSSE6R6 · pith_short_16: G4Y4YMSSE6R6XYXB · pith_short_8: G4Y4YMSS

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/G4Y4YMSSE6R6XYXBTGFWRPSJ6K \
  | 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: 3731cc325227a3ebe2e1998b68be49f290bab3f0ed256961621e86c467b21889

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "13cc55fd81739e6f51097dd7f99515f018d8aff20ad4d59a122fb33161bac0e5",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-10-26T15:55:05Z",
    "title_canon_sha256": "1fb958fff52b4c35534ca31947cd36bdfb4382ac0c976c14739b44efd932801b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.5826",
    "kind": "arxiv",
    "version": 1
  }
}