Pith Number

pith:67BNQ2WN

pith:2010:67BNQ2WNS7BOMYZTXCQNL2KH6D

not attested not anchored not stored refs pending

Exact master equations for the non-Markovian decay of a qubit

Bassano Vacchini, Heinz-Peter Breuer

arxiv:1002.2172 v1 · 2010-02-10 · quant-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{67BNQ2WNS7BOMYZTXCQNL2KH6D}

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	2026-05-18T04:40:00.644861Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f7c2d86acd97c2e66333b8a0d5e947f0ff68fa3c412e6a45ae4b88ab74c996a7

Aliases

arxiv: 1002.2172 · arxiv_version: 1002.2172v1 · doi: 10.48550/arxiv.1002.2172 · pith_short_12: 67BNQ2WNS7BO · pith_short_16: 67BNQ2WNS7BOMYZT · pith_short_8: 67BNQ2WN

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/67BNQ2WNS7BOMYZTXCQNL2KH6D \
  | 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: f7c2d86acd97c2e66333b8a0d5e947f0ff68fa3c412e6a45ae4b88ab74c996a7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c6e227c564928782ec55e065616af2b5f7b0c8a72e8cd89bb0587009f030dec",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2010-02-10T18:49:33Z",
    "title_canon_sha256": "ba4abc22004b718618e9d22574018d9e55b668614b92242cb469eda150b99203"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1002.2172",
    "kind": "arxiv",
    "version": 1
  }
}