Pith Number

pith:LTOPQVBP

pith:2009:LTOPQVBPCVD7LWMAVPMN55MZL4

not attested not anchored not stored refs pending

A Unified Treatment of Convexity of Relative Entropy and Related Trace Functions, with Conditions for Equality

Anna Jencova, Mary Beth Ruskai

arxiv:0903.2895 v4 · 2009-03-17 · 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{LTOPQVBPCVD7LWMAVPMN55MZL4}

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	2026-05-18T02:14:27.870035Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5cdcf8542f1547f5d980abd8def5995f19a9d0c734b7ce071bf360854b3758e7

Aliases

arxiv: 0903.2895 · arxiv_version: 0903.2895v4 · doi: 10.48550/arxiv.0903.2895 · pith_short_12: LTOPQVBPCVD7 · pith_short_16: LTOPQVBPCVD7LWMA · pith_short_8: LTOPQVBP

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/LTOPQVBPCVD7LWMAVPMN55MZL4 \
  | 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: 5cdcf8542f1547f5d980abd8def5995f19a9d0c734b7ce071bf360854b3758e7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1ee3cc70ce9247ef7a5bbfebd170ed1c328dc354c59179d1b7483ee421c7f969",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2009-03-17T02:27:14Z",
    "title_canon_sha256": "f07ddbccd46c0e07cb90b493d4773297f02267e1574f87ff4abbe87b6bf4008a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0903.2895",
    "kind": "arxiv",
    "version": 4
  }
}