Pith Number

pith:XML3DAC7

pith:2007:XML3DAC7BP4P6OA3AFP2IC2KID

not attested not anchored not stored refs pending

Separability in terms of a single entanglement witness

Pawe{\l} Horodecki, Piotr Badzi\k{a}g, Remigiusz Augusiak, Ryszard Horodecki

arxiv:quant-ph/0703097 v3 · 2007-03-12 · 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{XML3DAC7BP4P6OA3AFP2IC2KID}

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	2026-05-18T01:08:36.219895Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bb17b1805f0bf8ff381b015fa40b4a40f4c5b256cb7b2857cbe3cc26cb1397fc

Aliases

arxiv: quant-ph/0703097 · arxiv_version: quant-ph/0703097v3 · doi: 10.48550/arxiv.quant-ph/0703097 · pith_short_12: XML3DAC7BP4P · pith_short_16: XML3DAC7BP4P6OA3 · pith_short_8: XML3DAC7

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/XML3DAC7BP4P6OA3AFP2IC2KID \
  | 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: bb17b1805f0bf8ff381b015fa40b4a40f4c5b256cb7b2857cbe3cc26cb1397fc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8952fd6ada029e89e44ee4d7996ee6f71010d72493c06391e057304ea5c7b7e6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2007-03-12T23:17:47Z",
    "title_canon_sha256": "fe698936167c7a359d65b289a84cd953a8df0627bfbb9f73619aa0c6aaa172a5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0703097",
    "kind": "arxiv",
    "version": 3
  }
}