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Pith Number

pith:YQHFODNE

pith:2016:YQHFODNE3JWLV4IHWZR2SPF26U
not attested not anchored not stored refs pending

Exact Baker-Campbell-Hausdorff formula for the contact Heisenberg algebra

Alessandro Bravetti, Angel Garcia-Chung, Diego Tapias

arxiv:1609.01696 v2 · 2016-09-06 · math-ph · hep-th · math.MP · math.SG · quant-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{YQHFODNE3JWLV4IHWZR2SPF26U}

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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 2026-05-18T00:49:15.808103Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

c40e570da4da6cbaf107b663a93cbaf51d5e9387a38eaeaff36c7354b188e709

Aliases

arxiv: 1609.01696 · arxiv_version: 1609.01696v2 · doi: 10.48550/arxiv.1609.01696 · pith_short_12: YQHFODNE3JWL · pith_short_16: YQHFODNE3JWLV4IH · pith_short_8: YQHFODNE
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/YQHFODNE3JWLV4IHWZR2SPF26U \
  | 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: c40e570da4da6cbaf107b663a93cbaf51d5e9387a38eaeaff36c7354b188e709
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "f7d2b1e2fa5c4eaddda57cac1200d26fd0a819669f4fbce44c6351817b0ef03e",
    "cross_cats_sorted": [
      "hep-th",
      "math.MP",
      "math.SG",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-09-06T18:56:55Z",
    "title_canon_sha256": "68f45bb3a9ea82614001a511b4f80d45ee247e6710eea906bd0ae66c01035144"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.01696",
    "kind": "arxiv",
    "version": 2
  }
}