Pith Number

pith:PTILZIS2

pith:2016:PTILZIS2URE7OIQIJEILWIZ3NT

not attested not anchored not stored refs pending

Entangling and assisted entangling power of bipartite unitary operations

Lin Chen, Li Yu

arxiv:1604.05788 v4 · 2016-04-20 · quant-ph · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PTILZIS2URE7OIQIJEILWIZ3NT}

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	2026-05-18T01:01:15.736396Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7cd0bca25aa449f722084910bb233b6cc927ab18e524c317fcbac70092141b63

Aliases

arxiv: 1604.05788 · arxiv_version: 1604.05788v4 · doi: 10.48550/arxiv.1604.05788 · pith_short_12: PTILZIS2URE7 · pith_short_16: PTILZIS2URE7OIQI · pith_short_8: PTILZIS2

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/PTILZIS2URE7OIQIJEILWIZ3NT \
  | 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: 7cd0bca25aa449f722084910bb233b6cc927ab18e524c317fcbac70092141b63

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f7720d23a68dc63df616755a1d3478c635c1ae53ae8b4ed342fcf32bb449ade2",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2016-04-20T02:10:11Z",
    "title_canon_sha256": "e35e8d32e00469b4c2d311901a14677a46faace3360dfa9fce6a95746809bb6a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.05788",
    "kind": "arxiv",
    "version": 4
  }
}