pith. sign in
Pith Number

pith:Z4IJ7IV5

pith:2006:Z4IJ7IV5INBGEERGCEZ6H6Q7YI
not attested not anchored not stored refs pending

Quantitative entanglement witnesses

Fernando G.S.L. Brandao, Jens Eisert, Koenraad M.R. Audenaert

arxiv:quant-ph/0607167 v4 · 2006-07-25 · quant-ph · cond-mat.other

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{Z4IJ7IV5INBGEERGCEZ6H6Q7YI}

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

Receipt and verification
First computed 2026-05-18T03:14:50.587784Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

cf109fa2bd43426212261133e3fa1fc23893994da71cc5da3bb55b87cf266382

Aliases

arxiv: quant-ph/0607167 · arxiv_version: quant-ph/0607167v4 · doi: 10.48550/arxiv.quant-ph/0607167 · pith_short_12: Z4IJ7IV5INBG · pith_short_16: Z4IJ7IV5INBGEERG · pith_short_8: Z4IJ7IV5
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/Z4IJ7IV5INBGEERGCEZ6H6Q7YI \
  | 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: cf109fa2bd43426212261133e3fa1fc23893994da71cc5da3bb55b87cf266382
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "d8629d1cc8c6a3ebb57e32e4bf60ef5dad2a4eb499625109d8dce5b8cb1e595a",
    "cross_cats_sorted": [
      "cond-mat.other"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2006-07-25T16:56:40Z",
    "title_canon_sha256": "0b2dd80fab1647235412545284be202bde5569ed6bbe65cc8d6e62d0f6f63674"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0607167",
    "kind": "arxiv",
    "version": 4
  }
}