Pith Number

pith:2AO5TXFU

pith:2025:2AO5TXFUTBOTIVVITS57UXCXJY

not attested not anchored not stored refs pending

Efficient and Explicit Block Encoding of Finite Difference Discretizations of the Laplacian

Andreas Sturm, Niclas Schillo

arxiv:2509.02429 v1 · 2025-09-02 · 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{2AO5TXFUTBOTIVVITS57UXCXJY}

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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

6 papers in Pith

Pauli-structured preconditioning for quantum linear system solvers

TARE: Block Encoding Linear Combinations of Pauli Strings Without Ancilla State Preparation

Explicit Block Encodings of Discrete Laplacians with Mixed Boundary Conditions

Unitaria: Quantum Linear Algebra via Block Encodings

Explicit Block Encoding of Difference-of-Gaussian Operators on a Periodic Grid

Receipt and verification

First computed	2026-07-05T12:03:38.501649Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d01dd9dcb4985d3456a89cbbfa5c574e16fe99fae184c51f6921a114b88d8ffb

Aliases

arxiv: 2509.02429 · arxiv_version: 2509.02429v1 · doi: 10.48550/arxiv.2509.02429 · pith_short_12: 2AO5TXFUTBOT · pith_short_16: 2AO5TXFUTBOTIVVI · pith_short_8: 2AO5TXFU

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/2AO5TXFUTBOTIVVITS57UXCXJY \
  | 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: d01dd9dcb4985d3456a89cbbfa5c574e16fe99fae184c51f6921a114b88d8ffb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ae1021fbc4293f8ab6c96b1d1ae8e1eda780924b46b89377166c975a7c4b8642",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2025-09-02T15:31:43Z",
    "title_canon_sha256": "18237c9e7cbd4a9a9336c13ab21c6983c26f6ce37850ac693ec46bf6914cf09f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.02429",
    "kind": "arxiv",
    "version": 1
  }
}