Pith Number

pith:6DTWN6TY

pith:2019:6DTWN6TYGKI4SDKK7RDUTNXMEK

not attested not anchored not stored refs pending

On the computation of geometric features of spectra of linear operators on Hilbert spaces

Matthew J. Colbrook

arxiv:1908.09598 v5 · 2019-08-26 · math.SP

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6DTWN6TYGKI4SDKK7RDUTNXMEK}

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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.

Cited by

1 paper in Pith

The foundations of spectral computations via the Solvability Complexity Index hierarchy

Receipt and verification

First computed	2026-07-05T04:58:13.468203Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f0e766fa783291c90d4afc4749b6ec22a72e12ba57bbf73e9d56681be8236e5c

Aliases

arxiv: 1908.09598 · arxiv_version: 1908.09598v5 · doi: 10.48550/arxiv.1908.09598 · pith_short_12: 6DTWN6TYGKI4 · pith_short_16: 6DTWN6TYGKI4SDKK · pith_short_8: 6DTWN6TY

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/6DTWN6TYGKI4SDKK7RDUTNXMEK \
  | 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: f0e766fa783291c90d4afc4749b6ec22a72e12ba57bbf73e9d56681be8236e5c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "706c027a7a153ca209123ea709692bf988e0efc64136245af569a77ddbaf9c7b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2019-08-26T11:12:53Z",
    "title_canon_sha256": "662cbedf69c450f6d4f86801452b80619ea996257c6f65bacabf4853b1279a2d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.09598",
    "kind": "arxiv",
    "version": 5
  }
}