Pith Number

pith:JBARDUB3

pith:2007:JBARDUB3CCHGDRAP7XR7QXQZOY

not attested not anchored not stored refs pending

Separability of a family of one parameter W and GHZ multiqubit states using Abe-Rajagopal q-conditional entropy approach

A. R. Usha Devi, G. Padmanabha, R. Prabhu

arxiv:0706.3038 v2 · 2007-06-20 · 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{JBARDUB3CCHGDRAP7XR7QXQZOY}

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	2026-05-18T04:09:16.138089Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

484111d03b108e61c40ffde3f85e19760d0e357e7ef3519e7918827abf1b2a82

Aliases

arxiv: 0706.3038 · arxiv_version: 0706.3038v2 · doi: 10.48550/arxiv.0706.3038 · pith_short_12: JBARDUB3CCHG · pith_short_16: JBARDUB3CCHGDRAP · pith_short_8: JBARDUB3

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/JBARDUB3CCHGDRAP7XR7QXQZOY \
  | 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: 484111d03b108e61c40ffde3f85e19760d0e357e7ef3519e7918827abf1b2a82

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "98ac8ed48fd2d5d289e3fc9053dc2606407cb31d817d53a952ceedb1a0e7e6ac",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2007-06-20T18:17:48Z",
    "title_canon_sha256": "a2138bf8856044bf1286bf63185c851053cc8b1adec2bf4afacf4503e579bb97"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0706.3038",
    "kind": "arxiv",
    "version": 2
  }
}