Pith Number

pith:GFRT4J62

pith:2018:GFRT4J62QMFWVSTKPQZOGKOPOB

not attested not anchored not stored refs pending

Semigroup expansions for non-selfadjoint Schr\"odinger operators

Ben Bellis, Michael Hitrik

arxiv:1810.04272 v1 · 2018-10-09 · math.AP · math.SP

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GFRT4J62QMFWVSTKPQZOGKOPOB}

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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	2026-05-18T00:03:40.621738Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

31633e27da830b6aca6a7c32e329cf704dc1f3efec444bd80ce72682e6c8dfba

Aliases

arxiv: 1810.04272 · arxiv_version: 1810.04272v1 · doi: 10.48550/arxiv.1810.04272 · pith_short_12: GFRT4J62QMFW · pith_short_16: GFRT4J62QMFWVSTK · pith_short_8: GFRT4J62

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/GFRT4J62QMFWVSTKPQZOGKOPOB \
  | 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: 31633e27da830b6aca6a7c32e329cf704dc1f3efec444bd80ce72682e6c8dfba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f2c327008a01d043f8c38e2d0b0829bf91488457c4da4d0cbd813ed68b2f0b8f",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-10-09T22:14:15Z",
    "title_canon_sha256": "d7b04677b5f479c5cd2c4c8bbbcbfceb5cb0ea32398b1699d9f4e916bf11421f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.04272",
    "kind": "arxiv",
    "version": 1
  }
}