Pith Number

pith:S6JORU5S

pith:2024:S6JORU5SW5VMXJIVFGMY4URMRG

not attested not anchored not stored refs pending

Bounds on Petz-R\'enyi Divergences and their Applications for Device-Independent Cryptography

Ernest Y.-Z. Tan, Peter Brown, Thomas A. Hahn

arxiv:2408.12313 v1 · 2024-08-22 · 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{S6JORU5SW5VMXJIVFGMY4URMRG}

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

Analytic R\'enyi Entropy Bounds for Device-Independent Cryptography

Receipt and verification

First computed	2026-07-05T08:58:07.428074Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9792e8d3b2b76acba51529998e522c899ee12c86b328ba5afa33624ca9aab0b4

Aliases

arxiv: 2408.12313 · arxiv_version: 2408.12313v1 · doi: 10.48550/arxiv.2408.12313 · pith_short_12: S6JORU5SW5VM · pith_short_16: S6JORU5SW5VMXJIV · pith_short_8: S6JORU5S

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/S6JORU5SW5VMXJIVFGMY4URMRG \
  | 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: 9792e8d3b2b76acba51529998e522c899ee12c86b328ba5afa33624ca9aab0b4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "512539615205ce77318bb71ba2f278115118f31303819ce6c9586f46e5e70479",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2024-08-22T11:40:37Z",
    "title_canon_sha256": "ed9c7dc6c66c970095e881c03414052865e2c552ac6de792cd2e1bd4f056bbe5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2408.12313",
    "kind": "arxiv",
    "version": 1
  }
}