Pith Number

pith:CXZKLQPD

pith:2013:CXZKLQPD7SOPVJSVFEG2CGBWLG

not attested not anchored not stored refs pending

From the sandwiched quantum relative Tsallis entropy to its conditional form: Separability criterion beyond local and global spectra

A.K. Rajagopal, Anantha S Nayak, A.R. Usha Devi, Sudha

arxiv:1309.6944 v2 · 2013-09-26 · 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{CXZKLQPD7SOPVJSVFEG2CGBWLG}

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	2026-05-18T03:00:12.459951Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

15f2a5c1e3fc9cfaa655290da1183659860f3ea9b536f4db56ff0f83a75f68a1

Aliases

arxiv: 1309.6944 · arxiv_version: 1309.6944v2 · doi: 10.48550/arxiv.1309.6944 · pith_short_12: CXZKLQPD7SOP · pith_short_16: CXZKLQPD7SOPVJSV · pith_short_8: CXZKLQPD

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/CXZKLQPD7SOPVJSVFEG2CGBWLG \
  | 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: 15f2a5c1e3fc9cfaa655290da1183659860f3ea9b536f4db56ff0f83a75f68a1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "257c5c5682bd58a37159b8753f22e8be9957ec72919c3f655349177a962fe1cb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2013-09-26T15:44:08Z",
    "title_canon_sha256": "25d7f992364fd49d8932b1f52f2c74d7d1b03b24492518694cd9e70f8651dd62"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.6944",
    "kind": "arxiv",
    "version": 2
  }
}