Pith Number

pith:FFSD6IJB

pith:2013:FFSD6IJBSJ7JN7BJUD6X7PXOZ5

not attested not anchored not stored refs pending

Square Function Estimates and Functional Calculi

Bernhard Hermann Haak (IMB), Markus Haase (DIAM)

arxiv:1311.0453 v1 · 2013-11-03 · 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{FFSD6IJBSJ7JN7BJUD6X7PXOZ5}

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.

Cited by

1 paper in Pith

Square Functions and Variational Estimates for Ritt Operators on $L^1$

Receipt and verification

First computed	2026-05-18T03:08:05.898962Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

29643f2121927e96fc29a0fd7fbeeecf591bfd44b376c4e3c964a34eb7112ee3

Aliases

arxiv: 1311.0453 · arxiv_version: 1311.0453v1 · doi: 10.48550/arxiv.1311.0453 · pith_short_12: FFSD6IJBSJ7J · pith_short_16: FFSD6IJBSJ7JN7BJ · pith_short_8: FFSD6IJB

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/FFSD6IJBSJ7JN7BJUD6X7PXOZ5 \
  | 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: 29643f2121927e96fc29a0fd7fbeeecf591bfd44b376c4e3c964a34eb7112ee3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6c0aa0f315da965e3aa161b70b8a69067b025a74efade37deebfb9a9de544fa6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-11-03T10:27:15Z",
    "title_canon_sha256": "07b769f971cf2305a9924578c93594e57585405f18bb583950ed4eceaed1cc4c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.0453",
    "kind": "arxiv",
    "version": 1
  }
}