Pith Number

pith:YA347YYM

pith:2012:YA347YYM6GM4JPP52UJ7SJJAXV

not attested not anchored not stored refs pending

Product Formulas for Exponentials of Commutators

Andrew M. Childs, Nathan Wiebe

arxiv:1211.4945 v2 · 2012-11-21 · 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{YA347YYM6GM4JPP52UJ7SJJAXV}

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	2026-05-18T03:06:34.620528Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c037cfe30cf199c4bdfdd513f92520bd55d9b56a348d1480f6592e4029298880

Aliases

arxiv: 1211.4945 · arxiv_version: 1211.4945v2 · doi: 10.48550/arxiv.1211.4945 · pith_short_12: YA347YYM6GM4 · pith_short_16: YA347YYM6GM4JPP5 · pith_short_8: YA347YYM

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/YA347YYM6GM4JPP52UJ7SJJAXV \
  | 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: c037cfe30cf199c4bdfdd513f92520bd55d9b56a348d1480f6592e4029298880

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c9bc4983f0c24337df3f503559d12dce2c6fe559a7046df4761e4aa5de3d0c22",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2012-11-21T06:12:25Z",
    "title_canon_sha256": "2ec215ca80eb8b0a8d54a6f537f4f814302feb45d57ebe6f3db291cc3a18c7f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.4945",
    "kind": "arxiv",
    "version": 2
  }
}