Pith Number

pith:DJ47JF7H

pith:2009:DJ47JF7HYGGLH7V677GT5MTLDQ

not attested not anchored not stored refs pending

The Berry-Keating operator on $L^2(\rz_>,\ud x)$ and on compact quantum graphs with general self-adjoint realizations

Frank Steiner, Sebastian Endres

arxiv:0912.3183 v5 · 2009-12-16 · math-ph · math.MP

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DJ47JF7HYGGLH7V677GT5MTLDQ}

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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.

Cited by

1 paper in Pith

The Free Particle--Oscillator--Inverted Oscillator Triangle: Conformal Bridges, Metaplectic Rotations and $\mathfrak{osp}(1|2)$ Structure

Receipt and verification

First computed	2026-05-18T02:10:16.495340Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1a79f497e7c18cb3febeffcd3eb26b1c0747a7cacd1fdab907a8e0c1f73ac48c

Aliases

arxiv: 0912.3183 · arxiv_version: 0912.3183v5 · doi: 10.48550/arxiv.0912.3183 · pith_short_12: DJ47JF7HYGGL · pith_short_16: DJ47JF7HYGGLH7V6 · pith_short_8: DJ47JF7H

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/DJ47JF7HYGGLH7V677GT5MTLDQ \
  | 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: 1a79f497e7c18cb3febeffcd3eb26b1c0747a7cacd1fdab907a8e0c1f73ac48c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "99e12bc3b5765f8687b5bc6910fccef5c5a6070e57955f63685b19bd0ee2dc5d",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2009-12-16T16:24:54Z",
    "title_canon_sha256": "d742f6e88da3ca7d96d9326e14f0248e2519b9e71a623a9b1c7df1783fbaa6ec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.3183",
    "kind": "arxiv",
    "version": 5
  }
}