Pith Number

pith:53PGTJ5Z

pith:2016:53PGTJ5ZODR2PXWBHHN5WJTTTE

not attested not anchored not stored refs pending

Sandwiched R\'enyi Convergence for Quantum Evolutions

Alexander M\"uller-Hermes, Daniel Stilck Franca

arxiv:1607.00041 v3 · 2016-06-30 · 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{53PGTJ5ZODR2PXWBHHN5WJTTTE}

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	2026-05-18T00:22:11.259102Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eede69a7b970e3a7dec139dbdb2673992736f1b1d54ac714d5aa4fc3e9cba8f3

Aliases

arxiv: 1607.00041 · arxiv_version: 1607.00041v3 · doi: 10.48550/arxiv.1607.00041 · pith_short_12: 53PGTJ5ZODR2 · pith_short_16: 53PGTJ5ZODR2PXWB · pith_short_8: 53PGTJ5Z

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/53PGTJ5ZODR2PXWBHHN5WJTTTE \
  | 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: eede69a7b970e3a7dec139dbdb2673992736f1b1d54ac714d5aa4fc3e9cba8f3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "765783ca9eee508a9a3567911b2092148e44b49c1c6c27eab826637d5716448f",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2016-06-30T20:49:56Z",
    "title_canon_sha256": "fb57f4db70359a4b401e79c6b79a1206b5c5880f07c3bb0b18d1181db0faf77c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.00041",
    "kind": "arxiv",
    "version": 3
  }
}