Pith Number

pith:BLV4IEOW

pith:2019:BLV4IEOWBUU4RGSMMYNBBOSY2A

not attested not anchored not stored refs pending

Quantum Markovian master equations: resonance theory shows validity for all time scales

Marco Merkli

arxiv:1908.01984 v2 · 2019-08-06 · quant-ph · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BLV4IEOWBUU4RGSMMYNBBOSY2A}

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	2026-07-05T03:41:22.098229Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0aebc411d60d29c89a4c661a10ba58d01d11a5203feb509e9fd3effbb4ab79bb

Aliases

arxiv: 1908.01984 · arxiv_version: 1908.01984v2 · doi: 10.48550/arxiv.1908.01984 · pith_short_12: BLV4IEOWBUU4 · pith_short_16: BLV4IEOWBUU4RGSM · pith_short_8: BLV4IEOW

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/BLV4IEOWBUU4RGSMMYNBBOSY2A \
  | 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: 0aebc411d60d29c89a4c661a10ba58d01d11a5203feb509e9fd3effbb4ab79bb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5d90e967c25908e664abb324a40de3bd11f0d931693ced3258b3346c44a7aaf7",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2019-08-06T06:59:00Z",
    "title_canon_sha256": "d5b796f6360a66f9e6118a3590dd903b1eb11cb963b5d4d24e9d7c9d568ba98d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.01984",
    "kind": "arxiv",
    "version": 2
  }
}