Pith Number

pith:YGUKOKH6

pith:2009:YGUKOKH63E2534NIPB6ZEMZCVJ

not attested not anchored not stored refs pending

On the quantum f-relative entropy and generalized data processing inequalities

Naresh Sharma

arxiv:0906.4755 v2 · 2009-06-25 · 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{YGUKOKH63E2534NIPB6ZEMZCVJ}

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	2026-05-18T03:55:22.198454Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c1a8a728fed935ddf1a8787d923322aa47f4af505068180e63e329427b1c9338

Aliases

arxiv: 0906.4755 · arxiv_version: 0906.4755v2 · doi: 10.48550/arxiv.0906.4755 · pith_short_12: YGUKOKH63E25 · pith_short_16: YGUKOKH63E2534NI · pith_short_8: YGUKOKH6

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/YGUKOKH63E2534NIPB6ZEMZCVJ \
  | 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: c1a8a728fed935ddf1a8787d923322aa47f4af505068180e63e329427b1c9338

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bff42e20be1334f86a37df4a37d56fa818e8879d98f2c9de62e9f8140bcc137b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2009-06-25T17:43:52Z",
    "title_canon_sha256": "d9a9bb3f2ae2ca11aa489e33fd613d8cccabf362095361b36e74d85968a01a6f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0906.4755",
    "kind": "arxiv",
    "version": 2
  }
}