Pith Number

pith:ZNZBHD25

pith:2018:ZNZBHD25ADBVAHLAFZMZ2WW65J

not attested not anchored not stored refs pending

Limit Operators, Compactness and Essential Spectra on Bounded Symmetric Domains

Raffael Hagger

arxiv:1801.08442 v2 · 2018-01-25 · math.FA · math.OA · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZNZBHD25ADBVAHLAFZMZ2WW65J}

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	2026-05-18T00:18:45.803683Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb72138f5d00c3501d602e599d5adeea5252a103ea1a58433ec101e90da5b2f2

Aliases

arxiv: 1801.08442 · arxiv_version: 1801.08442v2 · doi: 10.48550/arxiv.1801.08442 · pith_short_12: ZNZBHD25ADBV · pith_short_16: ZNZBHD25ADBVAHLA · pith_short_8: ZNZBHD25

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/ZNZBHD25ADBVAHLAFZMZ2WW65J \
  | 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: cb72138f5d00c3501d602e599d5adeea5252a103ea1a58433ec101e90da5b2f2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "450298a19804680de659f8b5cec2a8cd74c3edc45035b729c3b5f3803e9fb044",
    "cross_cats_sorted": [
      "math.OA",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-01-25T15:14:24Z",
    "title_canon_sha256": "06bb1c0e829569888c62730f492d3513d07847bda10873ea43a56586f574ede4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.08442",
    "kind": "arxiv",
    "version": 2
  }
}