Pith Number

pith:N7JLFF2Q

pith:2025:N7JLFF2QLBKWTIELHXWL77JKSB

not attested not anchored not stored refs pending

A Rigorous Introduction to Hamiltonian Simulation via High-Order Product Formulas

Javier Lopez-Cerezo

arxiv:2507.10501 v2 · 2025-07-14 · quant-ph · 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{N7JLFF2QLBKWTIELHXWL77JKSB}

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	2026-07-05T11:37:26.833853Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6fd2b29750585569a08b3decbffd2a90690000fbd85edb8e3f4e6b8cbe96b6b0

Aliases

arxiv: 2507.10501 · arxiv_version: 2507.10501v2 · doi: 10.48550/arxiv.2507.10501 · pith_short_12: N7JLFF2QLBKW · pith_short_16: N7JLFF2QLBKWTIEL · pith_short_8: N7JLFF2Q

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/N7JLFF2QLBKWTIELHXWL77JKSB \
  | 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: 6fd2b29750585569a08b3decbffd2a90690000fbd85edb8e3f4e6b8cbe96b6b0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "07b0bbf9ebd7deacb98378f1771a559004b11d64870a17fbf151294a8ae21a03",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2025-07-14T17:24:10Z",
    "title_canon_sha256": "a896bac35b31fc45d9b03ec8ca6e76a1099dcfdfc15a4df3c2269fb15316b3d5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.10501",
    "kind": "arxiv",
    "version": 2
  }
}