pith. sign in
Pith Number

pith:IQZRHCEG

pith:2014:IQZRHCEGGE46BX7HNMSZOY6XX2
not attested not anchored not stored refs pending

Extended Wigner function formalism for the spatial propagation of particles with internal degrees of freedom

Hendrik Ulbricht, Malcolm H Levitt, Marcel Utz, Nathan Cooper

arxiv:1405.1886 v1 · 2014-05-08 · quant-ph · physics.atm-clus · physics.atom-ph · physics.chem-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{IQZRHCEGGE46BX7HNMSZOY6XX2}

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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 2026-05-18T02:52:15.221670Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

44331388863139e0dfe76b259763d7beb27547fe0d7c62659a8077414d33523b

Aliases

arxiv: 1405.1886 · arxiv_version: 1405.1886v1 · doi: 10.48550/arxiv.1405.1886 · pith_short_12: IQZRHCEGGE46 · pith_short_16: IQZRHCEGGE46BX7H · pith_short_8: IQZRHCEG
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/IQZRHCEGGE46BX7HNMSZOY6XX2 \
  | 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: 44331388863139e0dfe76b259763d7beb27547fe0d7c62659a8077414d33523b
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "d07f8c750a6750a53cbe9a7e1a22faab38fa6aac1dbcb88b854839085a307fb6",
    "cross_cats_sorted": [
      "physics.atm-clus",
      "physics.atom-ph",
      "physics.chem-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2014-05-08T11:25:14Z",
    "title_canon_sha256": "5ff6fbf5aac91be3a28c8013fb63bdab84605812a38e9fb7c9e6cada4cf15481"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.1886",
    "kind": "arxiv",
    "version": 1
  }
}