Pith Number

pith:CDFSTWHC

pith:2025:CDFSTWHCXUROY5XA2XZUE2QO4F

not attested not anchored not stored refs pending

Spectral theory for semigroups on locally convex spaces

Karsten Kruse

arxiv:2509.11931 v2 · 2025-09-15 · 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{CDFSTWHCXUROY5XA2XZUE2QO4F}

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	2026-06-25T00:18:11.598402Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

10cb29d8e2bd22ec76e0d5f3426a0ee14110a659f073b06b779f6a72a1dbc1f5

Aliases

arxiv: 2509.11931 · arxiv_version: 2509.11931v2 · doi: 10.48550/arxiv.2509.11931 · pith_short_12: CDFSTWHCXURO · pith_short_16: CDFSTWHCXUROY5XA · pith_short_8: CDFSTWHC

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/CDFSTWHCXUROY5XA2XZUE2QO4F \
  | 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: 10cb29d8e2bd22ec76e0d5f3426a0ee14110a659f073b06b779f6a72a1dbc1f5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c83e0e2b26d55f8bdcbb59a440bdf7fa45488303d256f50055f32309d1a8681e",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2025-09-15T13:47:05Z",
    "title_canon_sha256": "5ed9355166a63fa2d35f2e560485c42554c722c12a3685f2fdf98bcc57bbb127"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.11931",
    "kind": "arxiv",
    "version": 2
  }
}