Pith Number

pith:U7MXGVXB

pith:2015:U7MXGVXBRI4CJRXS2KMBOH4523

not attested not anchored not stored refs pending

Entropy Production of Doubly Stochastic Quantum Channels

Alexander M\"uller-Hermes, Daniel Stilck Franca, Michael M. Wolf

arxiv:1505.04678 v2 · 2015-05-18 · 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{U7MXGVXBRI4CJRXS2KMBOH4523}

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	2026-05-18T00:28:57.251537Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a7d97356e18a3824c6f2d298171f9dd6e02274070417afbe15b7e63eb0ef8700

Aliases

arxiv: 1505.04678 · arxiv_version: 1505.04678v2 · doi: 10.48550/arxiv.1505.04678 · pith_short_12: U7MXGVXBRI4C · pith_short_16: U7MXGVXBRI4CJRXS · pith_short_8: U7MXGVXB

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/U7MXGVXBRI4CJRXS2KMBOH4523 \
  | 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: a7d97356e18a3824c6f2d298171f9dd6e02274070417afbe15b7e63eb0ef8700

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ef65004a67f3a0a34dd44d76adf4fd4ca31cfc304ac4d414782e4a2e782c2c38",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2015-05-18T15:16:48Z",
    "title_canon_sha256": "109ebea1b899a3b3970cd3f658fc3cf5f1d909b29e0ca77a52100938824ce897"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.04678",
    "kind": "arxiv",
    "version": 2
  }
}