Pith Number

pith:AMI6TYOT

pith:2017:AMI6TYOTP7BHSQIRDJ7D4BAL32

not attested not anchored not stored refs pending

Necessary and sufficient product criteria for quantum states via the rank of realignment matrix of density matrix

Fengli Yan, Ting Gao, Xianfei Qi

arxiv:1706.04705 v1 · 2017-06-15 · 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{AMI6TYOTP7BHSQIRDJ7D4BAL32}

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	2026-05-18T00:22:39.795460Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0311e9e1d37fc27941111a7e3e040bde81ff48b1d9a525b47a2f763264dd5917

Aliases

arxiv: 1706.04705 · arxiv_version: 1706.04705v1 · doi: 10.48550/arxiv.1706.04705 · pith_short_12: AMI6TYOTP7BH · pith_short_16: AMI6TYOTP7BHSQIR · pith_short_8: AMI6TYOT

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/AMI6TYOTP7BHSQIRDJ7D4BAL32 \
  | 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: 0311e9e1d37fc27941111a7e3e040bde81ff48b1d9a525b47a2f763264dd5917

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b35e6775e429504b1d3c003ff70a139cfe1677135909aab3c4bef795e6d44fdc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2017-06-15T00:42:40Z",
    "title_canon_sha256": "42eac9d7b0e4202c8c43c7cd14514defea3a002f2a22fa0f35d4d71327040878"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.04705",
    "kind": "arxiv",
    "version": 1
  }
}