Pith Number

pith:5MSSV6QT

pith:2016:5MSSV6QTZY7N3AJIGW2QJVBBA5

not attested not anchored not stored refs pending

Adaptation of the Alicki-Fannes-Winter method for the set of states with bounded energy and its use

M.E.Shirokov

arxiv:1609.07044 v5 · 2016-09-22 · 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{5MSSV6QTZY7N3AJIGW2QJVBBA5}

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	2026-05-17T23:59:58.334219Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eb252afa13ce3edd812835b504d421075e89b8121ae850ae25d786cbe515c80f

Aliases

arxiv: 1609.07044 · arxiv_version: 1609.07044v5 · doi: 10.48550/arxiv.1609.07044 · pith_short_12: 5MSSV6QTZY7N · pith_short_16: 5MSSV6QTZY7N3AJI · pith_short_8: 5MSSV6QT

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/5MSSV6QTZY7N3AJIGW2QJVBBA5 \
  | 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: eb252afa13ce3edd812835b504d421075e89b8121ae850ae25d786cbe515c80f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a9414deb3fdb6fa31ed7919cefd97f30f31bc29206a504fed51ad3cfa17e4ccc",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2016-09-22T16:02:12Z",
    "title_canon_sha256": "9161266a6fa61b754d14ef888602201953569e0cbb2641aac50e7e0324075066"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.07044",
    "kind": "arxiv",
    "version": 5
  }
}