pith. sign in
Pith Number

pith:O2STQQ2F

pith:2013:O2STQQ2FN5VSSWNZJHAYCWGTSY
not attested not anchored not stored refs pending

Normal and anti-normal ordered expressions for annihilation and creation operators

H. Moya-Cessa, J.M. Vargas-Mart\'inez

arxiv:1304.0385 v1 · 2013-04-01 · quant-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{O2STQQ2FN5VSSWNZJHAYCWGTSY}

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 2026-05-18T03:29:17.066801Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

76a53843456f6b2959b949c18158d396238b3b18aaf27f09852ffb9b7fbae7e4

Aliases

arxiv: 1304.0385 · arxiv_version: 1304.0385v1 · doi: 10.48550/arxiv.1304.0385 · pith_short_12: O2STQQ2FN5VS · pith_short_16: O2STQQ2FN5VSSWNZ · pith_short_8: O2STQQ2F
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/O2STQQ2FN5VSSWNZJHAYCWGTSY \
  | 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: 76a53843456f6b2959b949c18158d396238b3b18aaf27f09852ffb9b7fbae7e4
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "1632328e027390405ea2c5616109f55bc29b2294c37de1c4576cefd1459b41ad",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2013-04-01T16:06:05Z",
    "title_canon_sha256": "3cc0aeeb7fded7fa5f69b872c9d0e456bedfcfde12b4b4fa4cc2ea474076741c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.0385",
    "kind": "arxiv",
    "version": 1
  }
}