Pith Number

pith:6LPMR6FO

pith:2013:6LPMR6FO4NAVTXS7CICOYD57CI

not attested not anchored not stored refs pending

On quantum conditional entropies defined in terms of the $f$-divergences

Alexey E. Rastegin

arxiv:1309.6048 v2 · 2013-09-24 · 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{6LPMR6FO4NAVTXS7CICOYD57CI}

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	2026-05-18T01:47:33.866252Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f2dec8f8aee34159de5f1204ec0fbf1204d062bfcf23db36281051a35c6b2f74

Aliases

arxiv: 1309.6048 · arxiv_version: 1309.6048v2 · doi: 10.48550/arxiv.1309.6048 · pith_short_12: 6LPMR6FO4NAV · pith_short_16: 6LPMR6FO4NAVTXS7 · pith_short_8: 6LPMR6FO

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/6LPMR6FO4NAVTXS7CICOYD57CI \
  | 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: f2dec8f8aee34159de5f1204ec0fbf1204d062bfcf23db36281051a35c6b2f74

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "385c93a3e15e016e067eaf50252a211e3ab2025f8ddf3f80daef08eff5001adf",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2013-09-24T05:19:30Z",
    "title_canon_sha256": "b1d32eb9b83d31244973c3120957b545fbdcf0b16e4ff58deef13f9909c17686"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.6048",
    "kind": "arxiv",
    "version": 2
  }
}