Pith. sign in
Pith Number

pith:MZMURLXY

pith:2022:MZMURLXYNOXSK2ZOJYOISKXAHS
not attested not anchored not stored refs pending

Quantum Mechanics in Phase Space: An introduction

Eduardo Mart\'in-Mart\'inez

arxiv:2208.08682 v6 · 2022-08-18 · quant-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{MZMURLXYNOXSK2ZOJYOISKXAHS}

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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.

Cited by

1 paper in Pith

Receipt and verification
First computed 2026-07-05T07:40:49.721492Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

665948aef86baf256b2e4e1c892ae03cbd1e1265cd4e8c4d7b20efed790e40d6

Aliases

arxiv: 2208.08682 · arxiv_version: 2208.08682v6 · doi: 10.48550/arxiv.2208.08682 · pith_short_12: MZMURLXYNOXS · pith_short_16: MZMURLXYNOXSK2ZO · pith_short_8: MZMURLXY
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/MZMURLXYNOXSK2ZOJYOISKXAHS \
  | 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: 665948aef86baf256b2e4e1c892ae03cbd1e1265cd4e8c4d7b20efed790e40d6
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "6a7ae32ff6e1bd33e804d580279d4dfe5e2b3cb2063cd06a4c42f1c0b4428a17",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2022-08-18T07:32:37Z",
    "title_canon_sha256": "29f5743b4edf10c8397ebb3465460c03783832fb303a3c49eae1baf745044c63"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2208.08682",
    "kind": "arxiv",
    "version": 6
  }
}