Pith Number

pith:KBRWZPY7

pith:2015:KBRWZPY76V5CO4GXVBYUKLFMW7

not attested not anchored not stored refs pending

Schatten classes of generalized Hilbert operators

Daniel Seco, Jos\'e \'Angel Pel\'aez

arxiv:1510.05455 v1 · 2015-10-19 · math.CV · 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{KBRWZPY76V5CO4GXVBYUKLFMW7}

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	2026-05-18T01:29:40.068933Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

50636cbf1ff57a2770d7a871452cacb7ff740c42f6c4180c84cbab31d04bbab2

Aliases

arxiv: 1510.05455 · arxiv_version: 1510.05455v1 · doi: 10.48550/arxiv.1510.05455 · pith_short_12: KBRWZPY76V5C · pith_short_16: KBRWZPY76V5CO4GX · pith_short_8: KBRWZPY7

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/KBRWZPY76V5CO4GXVBYUKLFMW7 \
  | 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: 50636cbf1ff57a2770d7a871452cacb7ff740c42f6c4180c84cbab31d04bbab2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3089fbb1553fcafd3a0220a53c900ecb9c705338685da27cc26e437bc37ed405",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2015-10-19T13:13:35Z",
    "title_canon_sha256": "4d96f2056162e417725480ac23eb53aee318b016205d92191f57ae701fca9b1d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.05455",
    "kind": "arxiv",
    "version": 1
  }
}