Pith Number

pith:YZRGPUWT

pith:2017:YZRGPUWT7G3I3N62LJCUTRY6EQ

not attested not anchored not stored refs pending

Recovery map stability for the Data Processing Inequality

Anna Vershynina, Eric A. Carlen

arxiv:1710.02409 v3 · 2017-10-06 · math.OA · 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{YZRGPUWT7G3I3N62LJCUTRY6EQ}

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.

Cited by

1 paper in Pith

Conditional Independence of 1D Gibbs States with Applications to Efficient Learning

Receipt and verification

First computed	2026-05-17T23:44:43.500762Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c66267d2d3f9b68db7da5a4549c71e240a758c4e3383a034f583217a35acb080

Aliases

arxiv: 1710.02409 · arxiv_version: 1710.02409v3 · doi: 10.48550/arxiv.1710.02409 · pith_short_12: YZRGPUWT7G3I · pith_short_16: YZRGPUWT7G3I3N62 · pith_short_8: YZRGPUWT

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/YZRGPUWT7G3I3N62LJCUTRY6EQ \
  | 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: c66267d2d3f9b68db7da5a4549c71e240a758c4e3383a034f583217a35acb080

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4216fc06da6f1e4546f5c691ca66358d15d349689fdf56fc949eebbe1ff24964",
    "cross_cats_sorted": [
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2017-10-06T13:58:56Z",
    "title_canon_sha256": "cb5430833ac2478ee2fa247aa1be3008bf23a2be3eb95e00bb6861502f5f13b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.02409",
    "kind": "arxiv",
    "version": 3
  }
}