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Pith Number

pith:MXA2CZAJ

pith:2016:MXA2CZAJ7F4EL2T554H3T3WU42
not attested not anchored not stored refs pending

Probability current and thermodynamics of open quantum systems

Alexander New, Benjamin Schumacher, Haifeng Qiao, Michael D. Westmoreland

arxiv:1607.01331 v1 · 2016-07-05 · quant-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{MXA2CZAJ7F4EL2T554H3T3WU42}

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 2026-05-18T01:11:29.814628Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

65c1a16409f97845ea7def0fb9eed4e6966fb6d4496e2d9fd00de62e48555b8d

Aliases

arxiv: 1607.01331 · arxiv_version: 1607.01331v1 · doi: 10.48550/arxiv.1607.01331 · pith_short_12: MXA2CZAJ7F4E · pith_short_16: MXA2CZAJ7F4EL2T5 · pith_short_8: MXA2CZAJ
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/MXA2CZAJ7F4EL2T554H3T3WU42 \
  | 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: 65c1a16409f97845ea7def0fb9eed4e6966fb6d4496e2d9fd00de62e48555b8d
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "b6f280a2c99615482265b57f2c65543b220d80838e08a8be1622cc9b5862cc6e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2016-07-05T17:12:52Z",
    "title_canon_sha256": "38911ee9f4aaf4826470c78767536fcaeb5dcc5e0779c19a013e753b9ca6f991"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.01331",
    "kind": "arxiv",
    "version": 1
  }
}