Pith Number

pith:AH3DNF6B

pith:2011:AH3DNF6BLTYQHXUGZ7W7Z3JOBH

not attested not anchored not stored refs pending

Multipliers and imaginary powers of the schr\"odinger operators characterizing UMD Banach spaces

And L. Rodr\'Iguez-Mesa, J.C. Fari\~na, J.J. Betancor, R. Crescimbeni

arxiv:1109.0429 v1 · 2011-09-02 · 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{AH3DNF6BLTYQHXUGZ7W7Z3JOBH}

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	2026-05-18T04:14:15.699674Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

01f63697c15cf103de86cfedfced2e09e155340d09d2fe70ea37ca4dd7208945

Aliases

arxiv: 1109.0429 · arxiv_version: 1109.0429v1 · doi: 10.48550/arxiv.1109.0429 · pith_short_12: AH3DNF6BLTYQ · pith_short_16: AH3DNF6BLTYQHXUG · pith_short_8: AH3DNF6B

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/AH3DNF6BLTYQHXUGZ7W7Z3JOBH \
  | 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: 01f63697c15cf103de86cfedfced2e09e155340d09d2fe70ea37ca4dd7208945

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eef934b4e734db35f6906679783a425ab265544e8e62568d2478bcb11802304f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2011-09-02T12:41:00Z",
    "title_canon_sha256": "17ba8af04f306169371e0f13e04dea697e4940347649cb61b30537203619fec2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.0429",
    "kind": "arxiv",
    "version": 1
  }
}