Pith Number

pith:J6VZVA5Q

pith:2012:J6VZVA5QPL6PDP5VST4DNG7DHF

not attested not anchored not stored refs pending

A local spectral condition for strong compactness with some applications to bilateral weighted shifts

Maria del Pilar Romero de la Rosa, Miguel Lacruz

arxiv:1208.3245 v1 · 2012-08-15 · math.FA · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{J6VZVA5QPL6PDP5VST4DNG7DHF}

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	2026-05-18T03:48:36.441311Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4fab9a83b07afcf1bfb594f8369be3396b2e965b76f25b96f66b8e0984496b50

Aliases

arxiv: 1208.3245 · arxiv_version: 1208.3245v1 · doi: 10.48550/arxiv.1208.3245 · pith_short_12: J6VZVA5QPL6P · pith_short_16: J6VZVA5QPL6PDP5V · pith_short_8: J6VZVA5Q

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/J6VZVA5QPL6PDP5VST4DNG7DHF \
  | 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: 4fab9a83b07afcf1bfb594f8369be3396b2e965b76f25b96f66b8e0984496b50

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b27d1896bcd38beaa192103b39f9fb015c10e6af4f179aa11dd0571e73d6731a",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-08-15T23:05:35Z",
    "title_canon_sha256": "628e20aa8dfd644fb1d898d3b84a011e7a4e4d29c276498037e468e8137dafae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.3245",
    "kind": "arxiv",
    "version": 1
  }
}