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Pith Number

pith:XJLKRPAK

pith:2016:XJLKRPAKHQLP3WVT2CIKYOC3TA
not attested not anchored not stored refs pending

Mutually unbiased maximally entangled bases in $\mathbb{C}^d\otimes\mathbb{C}^d$

Junying Liu, Keqin Feng, Minghui Yang

arxiv:1609.02674 v1 · 2016-09-09 · quant-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{XJLKRPAKHQLP3WVT2CIKYOC3TA}

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 2026-05-18T01:04:52.785426Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

ba56a8bc0a3c16fddab3d090ac385b98306df05b99bd7f901e192e10413d13a1

Aliases

arxiv: 1609.02674 · arxiv_version: 1609.02674v1 · doi: 10.48550/arxiv.1609.02674 · pith_short_12: XJLKRPAKHQLP · pith_short_16: XJLKRPAKHQLP3WVT · pith_short_8: XJLKRPAK
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/XJLKRPAKHQLP3WVT2CIKYOC3TA \
  | 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: ba56a8bc0a3c16fddab3d090ac385b98306df05b99bd7f901e192e10413d13a1
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "7c190958cf3ec0bbcef64219432a205b901ffac13d4a1a33ca4b20d1c2c38413",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2016-09-09T07:37:12Z",
    "title_canon_sha256": "d40a6f6ccc024b8ca15e449a952946134995493090c70c016d0164428414cc32"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.02674",
    "kind": "arxiv",
    "version": 1
  }
}