Pith Number

pith:YNGHH3CU

pith:2025:YNGHH3CUS7QMPYM27OJVNEZBAY

not attested not anchored not stored refs pending

Maximally dissipative and self-adjoint extensions of $K$-invariant operators

Bart Rosenzweig, Christoph Fischbacher, Jonathan Stanfill

arxiv:2509.05178 v1 · 2025-09-05 · math.SP · 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{YNGHH3CUS7QMPYM27OJVNEZBAY}

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	2026-07-05T12:05:37.295693Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c34c73ec5497e0c7e19afb93569321061bd19fe17e59aaafa8054dde14a1846c

Aliases

arxiv: 2509.05178 · arxiv_version: 2509.05178v1 · doi: 10.48550/arxiv.2509.05178 · pith_short_12: YNGHH3CUS7QM · pith_short_16: YNGHH3CUS7QMPYM2 · pith_short_8: YNGHH3CU

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/YNGHH3CUS7QMPYM27OJVNEZBAY \
  | 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: c34c73ec5497e0c7e19afb93569321061bd19fe17e59aaafa8054dde14a1846c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "38cab2cbbe03d51b2c3afa2c9edfc22434c633ec1a1a83ad885b23ee7a3e6e5a",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2025-09-05T15:25:57Z",
    "title_canon_sha256": "772fb52212210f29b77e5c6e234a937f4cd69f1cae6243eb34f9c92e738026da"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.05178",
    "kind": "arxiv",
    "version": 1
  }
}