Pith Number

pith:UVX2RFNN

pith:2015:UVX2RFNNFM5OCSGCSIADJWBK2D

not attested not anchored not stored refs pending

Relative Entropy Convergence for Depolarizing Channels

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

arxiv:1508.07021 v1 · 2015-08-27 · 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{UVX2RFNNFM5OCSGCSIADJWBK2D}

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	2026-05-18T00:28:57.190142Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a56fa895ad2b3ae148c2920034d82ad0d3ec2ae000fb01c49ccb1a8eb12b8519

Aliases

arxiv: 1508.07021 · arxiv_version: 1508.07021v1 · doi: 10.48550/arxiv.1508.07021 · pith_short_12: UVX2RFNNFM5O · pith_short_16: UVX2RFNNFM5OCSGC · pith_short_8: UVX2RFNN

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/UVX2RFNNFM5OCSGCSIADJWBK2D \
  | 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: a56fa895ad2b3ae148c2920034d82ad0d3ec2ae000fb01c49ccb1a8eb12b8519

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ae56d6694383bbdb51afb6adee32c9c31ef85fe4258c2dec32b0b46ddd801484",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2015-08-27T20:21:05Z",
    "title_canon_sha256": "433aace9b31674a3949f861a388242f8f265233327a6dbca7f7ff768b36d6cf9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.07021",
    "kind": "arxiv",
    "version": 1
  }
}