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Pith Number

pith:MWQG3XDG

pith:2018:MWQG3XDGLXXY36WJSXMJ7JZDWM
not attested not anchored not stored refs pending

Integral formulation of the quantum mechanics in the phase space

Tomas Zimmermann

arxiv:1806.05383 v1 · 2018-06-14 · quant-ph · physics.chem-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{MWQG3XDGLXXY36WJSXMJ7JZDWM}

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 2026-05-18T00:13:16.160423Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

65a06ddc665def8dfac995d89fa723b32f2510546b58497d6a00eba650a1119e

Aliases

arxiv: 1806.05383 · arxiv_version: 1806.05383v1 · doi: 10.48550/arxiv.1806.05383 · pith_short_12: MWQG3XDGLXXY · pith_short_16: MWQG3XDGLXXY36WJ · pith_short_8: MWQG3XDG
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/MWQG3XDGLXXY36WJSXMJ7JZDWM \
  | 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: 65a06ddc665def8dfac995d89fa723b32f2510546b58497d6a00eba650a1119e
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "5b00612320b7a1ac4a89c11204b95dcd4d703d003217ad768ce47d28f38a655f",
    "cross_cats_sorted": [
      "physics.chem-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2018-06-14T06:29:50Z",
    "title_canon_sha256": "11511911a09ba70279bdd0b05dc8472f5487c9a1b810e37d027e471e5029730d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.05383",
    "kind": "arxiv",
    "version": 1
  }
}