Pith Number

pith:PTNZI3EC

pith:2007:PTNZI3ECT5G5MDVEUU5LXN55S7

not attested not anchored not stored refs pending

Entanglement-swapping boxes and their communication properties

Andrzej Grudka, Marco Piani, Michal Horodecki, Pawel Horodecki, Ryszard Horodecki

arxiv:quant-ph/0703095 v2 · 2007-03-13 · 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{PTNZI3ECT5G5MDVEUU5LXN55S7}

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	2026-07-04T15:12:18.113720Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7cdb946c829f4dd60ea4a53abbb7bd97c104ae20dd4d5516ff5a3b82dd5bbf98

Aliases

arxiv: quant-ph/0703095 · arxiv_version: quant-ph/0703095v2 · doi: 10.48550/arxiv.quant-ph/0703095 · pith_short_12: PTNZI3ECT5G5 · pith_short_16: PTNZI3ECT5G5MDVE · pith_short_8: PTNZI3EC

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/PTNZI3ECT5G5MDVEUU5LXN55S7 \
  | 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: 7cdb946c829f4dd60ea4a53abbb7bd97c104ae20dd4d5516ff5a3b82dd5bbf98

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3af64b0950fddbf780d3354073a77b17dc7e7016cfecec60a4e5ff665b0831ef",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2007-03-13T08:33:02Z",
    "title_canon_sha256": "20cbf273c4de7c86482a4f32e4d26099700a43f8c623364dbda13d136d73c56f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0703095",
    "kind": "arxiv",
    "version": 2
  }
}