Pith Number

pith:3OL2V7BA

pith:2000:3OL2V7BAWGYW2CPDZITEIWFDD5

not attested not anchored not stored refs pending

Entangling operations and their implementation using a small amount of entanglement

B. Kraus, J. I. Cirac, M. Lewenstein, W. D\"ur

arxiv:quant-ph/0007057 v1 · 2000-07-18 · 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{3OL2V7BAWGYW2CPDZITEIWFDD5}

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	2026-07-04T16:22:23.827639Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

db97aafc20b1b16d09e3ca264458a31f6e7a4c321b4d4dbe79fa7c1b520e2ef5

Aliases

arxiv: quant-ph/0007057 · arxiv_version: quant-ph/0007057v1 · doi: 10.48550/arxiv.quant-ph/0007057 · pith_short_12: 3OL2V7BAWGYW · pith_short_16: 3OL2V7BAWGYW2CPD · pith_short_8: 3OL2V7BA

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/3OL2V7BAWGYW2CPDZITEIWFDD5 \
  | 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: db97aafc20b1b16d09e3ca264458a31f6e7a4c321b4d4dbe79fa7c1b520e2ef5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c3830690aead9a18d50ebef5626cfb6f0fed497b626a95e7cb561df0d15df22b",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2000-07-18T19:00:32Z",
    "title_canon_sha256": "6262c4d31e49d2e5009f62dd56ba50a47d49b83cfa45798e119641685f50ed65"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0007057",
    "kind": "arxiv",
    "version": 1
  }
}