Pith Number

pith:HM7BR7YL

pith:2011:HM7BR7YLZXXJNFO4F2UDC5E26B

not attested not anchored not stored refs pending

Square functions for Ritt operators on noncommutative $L^p$-spaces

C\'edric Arhancet

arxiv:1107.3415 v5 · 2011-07-18 · math.OA · 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{HM7BR7YLZXXJNFO4F2UDC5E26B}

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	2026-05-18T04:02:00.745532Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3b3e18ff0bcdee9695dc2ea831749af0471763808a58a3040c67db47e5801722

Aliases

arxiv: 1107.3415 · arxiv_version: 1107.3415v5 · doi: 10.48550/arxiv.1107.3415 · pith_short_12: HM7BR7YLZXXJ · pith_short_16: HM7BR7YLZXXJNFO4 · pith_short_8: HM7BR7YL

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/HM7BR7YLZXXJNFO4F2UDC5E26B \
  | 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: 3b3e18ff0bcdee9695dc2ea831749af0471763808a58a3040c67db47e5801722

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9d2845a97cd7cb169184b3001cce8f73a2f24ba26eaef8e328380d31c564a388",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2011-07-18T12:33:08Z",
    "title_canon_sha256": "d4d38dc3cee418bf1c1db9c52911a1c3f53cf0c7129b6b0858839d05b0c04014"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.3415",
    "kind": "arxiv",
    "version": 5
  }
}