Pith Number

pith:63MLQEEY

pith:2020:63MLQEEYNSFJPXZGVJID5VMLUE

not attested not anchored not stored refs pending

On spectral inclusion and mapping theorems for scalar type spectral operators and semigroups

Marat V. Markin

arxiv:2002.09087 v8 · 2020-02-21 · math.FA · 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{63MLQEEYNSFJPXZGVJID5VMLUE}

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	2026-05-17T23:39:01.958044Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f6d8b810986c8a97df26aa503ed58ba12bf32da2996a827e4ca63e41570f7e79

Aliases

arxiv: 2002.09087 · arxiv_version: 2002.09087v8 · doi: 10.48550/arxiv.2002.09087 · pith_short_12: 63MLQEEYNSFJ · pith_short_16: 63MLQEEYNSFJPXZG · pith_short_8: 63MLQEEY

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/63MLQEEYNSFJPXZGVJID5VMLUE \
  | 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: f6d8b810986c8a97df26aa503ed58ba12bf32da2996a827e4ca63e41570f7e79

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d9921ad46554eb7073ccd7e2efa9df9f4dd0b23a834649c53d83f7145480693b",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2020-02-21T01:58:53Z",
    "title_canon_sha256": "cd2e3add94fabc3fe67380ebe55bb88fd166f9bdce1b95070a0c23bf1a3de257"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2002.09087",
    "kind": "arxiv",
    "version": 8
  }
}