Pith Number

pith:NL2YKI3G

pith:2008:NL2YKI3G3LPOUIGJUG7GGVVYIJ

not attested not anchored not stored refs pending

$J$-self-adjoint operators with $\mathcal{C}$-symmetries: extension theory approach

S. Albeverio, S. Kuzhel, U. Guenther

arxiv:0811.0365 v1 · 2008-11-03 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NL2YKI3G3LPOUIGJUG7GGVVYIJ}

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	2026-05-18T04:01:00.310059Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6af5852366dadeea20c9a1be6356b8425d642d56399c7db8350b32d88ccbf8cb

Aliases

arxiv: 0811.0365 · arxiv_version: 0811.0365v1 · doi: 10.48550/arxiv.0811.0365 · pith_short_12: NL2YKI3G3LPO · pith_short_16: NL2YKI3G3LPOUIGJ · pith_short_8: NL2YKI3G

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/NL2YKI3G3LPOUIGJUG7GGVVYIJ \
  | 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: 6af5852366dadeea20c9a1be6356b8425d642d56399c7db8350b32d88ccbf8cb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "217632f088ba9ac67af1e4bb2cd4a6a91d4e66c20f4b2dfa13e74bb68ac9caf0",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2008-11-03T18:43:45Z",
    "title_canon_sha256": "d18f6b6bbb6dbd1f85ace8b3cc09596c6f7ff80f7350b196a51a17c1199154f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0811.0365",
    "kind": "arxiv",
    "version": 1
  }
}