Pith Number

pith:EAHFOD52

pith:2010:EAHFOD525MFCVDR73EFYNYJ26B

not attested not anchored not stored refs pending

On a class of $J$-self-adjoint operators with empty resolvent set

Carsten Trunk, Sergii Kuzhel

arxiv:1009.0873 v1 · 2010-09-04 · math-ph · math.MP · math.SP · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EAHFOD525MFCVDR73EFYNYJ26B}

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	2026-05-18T04:01:00.050346Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

200e570fbaeb0a2a8e3fd90b86e13af067c3b0ad3adacc96bb27fcb6f86323eb

Aliases

arxiv: 1009.0873 · arxiv_version: 1009.0873v1 · doi: 10.48550/arxiv.1009.0873 · pith_short_12: EAHFOD525MFC · pith_short_16: EAHFOD525MFCVDR7 · pith_short_8: EAHFOD52

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/EAHFOD525MFCVDR73EFYNYJ26B \
  | 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: 200e570fbaeb0a2a8e3fd90b86e13af067c3b0ad3adacc96bb27fcb6f86323eb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7357c19f27d7ef36a252dda49ff4e33a39d2e52b3a43d256ecc81c8983557496",
    "cross_cats_sorted": [
      "math.MP",
      "math.SP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-09-04T21:20:28Z",
    "title_canon_sha256": "f624cfded5d6030a436b12ce7a3047e48508745e1846bd2a799c5650ed11af00"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.0873",
    "kind": "arxiv",
    "version": 1
  }
}