Pith Number

pith:YAONRVER

pith:2011:YAONRVERQJ4RO4AWBFZ6DDDKBD

not attested not anchored not stored refs pending

Norm closed operator ideals in Lorentz sequence spaces

Adi Tcaciuc, Alexey I. Popov, Anna Kaminska, Eugeniu Spinu, Vladimir G. Troitsky

arxiv:1108.6026 v1 · 2011-08-30 · 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{YAONRVERQJ4RO4AWBFZ6DDDKBD}

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	2026-05-18T04:14:27.978881Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c01cd8d49182791770160973e18c6a08f8f90325c47a98980caefd29b8ed3ac7

Aliases

arxiv: 1108.6026 · arxiv_version: 1108.6026v1 · doi: 10.48550/arxiv.1108.6026 · pith_short_12: YAONRVERQJ4R · pith_short_16: YAONRVERQJ4RO4AW · pith_short_8: YAONRVER

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/YAONRVERQJ4RO4AWBFZ6DDDKBD \
  | 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: c01cd8d49182791770160973e18c6a08f8f90325c47a98980caefd29b8ed3ac7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1e8b83b942e6c194d7a449b29180349e8946f4d4e5781a5b3d9881e8551a7a21",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-08-30T18:01:32Z",
    "title_canon_sha256": "c1e9cb9b7b19bdca4f77133bb3e2a1217d05cc84328c2936d39ff1b2d28b0e55"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.6026",
    "kind": "arxiv",
    "version": 1
  }
}