Pith Number

pith:S5VAFUU3

pith:2009:S5VAFUU3KHGYT3NOVTXOVWAUSI

not attested not anchored not stored refs pending

The Complexity of Relating Quantum Channels to Master Equations

Jens Eisert, Michael M. Wolf, Toby S. Cubitt

arxiv:0908.2128 v2 · 2009-08-17 · math-ph · cs.CC · math.MP · 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{S5VAFUU3KHGYT3NOVTXOVWAUSI}

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	2026-05-18T04:01:51.362756Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

976a02d29b51cd89edaeaceeead814920fbf28fbc37a1deeef5d02f7f1b1a131

Aliases

arxiv: 0908.2128 · arxiv_version: 0908.2128v2 · doi: 10.48550/arxiv.0908.2128 · pith_short_12: S5VAFUU3KHGY · pith_short_16: S5VAFUU3KHGYT3NO · pith_short_8: S5VAFUU3

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/S5VAFUU3KHGYT3NOVTXOVWAUSI \
  | 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: 976a02d29b51cd89edaeaceeead814920fbf28fbc37a1deeef5d02f7f1b1a131

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "97028a47ebb8f3903659117581c4b2076e134e340e40e16ba865b6d15bacf235",
    "cross_cats_sorted": [
      "cs.CC",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2009-08-17T15:51:17Z",
    "title_canon_sha256": "d243e36473efa09ef52a30b709224bf4d355712c1374ca32d0baa81fff4b654a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0908.2128",
    "kind": "arxiv",
    "version": 2
  }
}