Pith Number

pith:BJ6QBHT3

pith:2004:BJ6QBHT3K4J4ZXM7545DD3N7ZF

not attested not anchored not stored refs pending

Dual entanglement measures based on no local cloning and no local deleting

Aditi Sen De, Michal Horodecki, Ujjwal Sen

arxiv:quant-ph/0403169 v2 · 2004-03-23 · 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{BJ6QBHT3K4J4ZXM7545DD3N7ZF}

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	2026-07-04T16:07:14.614033Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0a7d009e7b5713ccdd9fef3a31edbfc944df2b2e1dcc936eff9ca725286d2771

Aliases

arxiv: quant-ph/0403169 · arxiv_version: quant-ph/0403169v2 · doi: 10.48550/arxiv.quant-ph/0403169 · pith_short_12: BJ6QBHT3K4J4 · pith_short_16: BJ6QBHT3K4J4ZXM7 · pith_short_8: BJ6QBHT3

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/BJ6QBHT3K4J4ZXM7545DD3N7ZF \
  | 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: 0a7d009e7b5713ccdd9fef3a31edbfc944df2b2e1dcc936eff9ca725286d2771

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bfc426a1633614c5b4668eb11fc448779a655f3821f60e9624d3f85618e5cc1e",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2004-03-23T19:54:37Z",
    "title_canon_sha256": "4e00fc39caa73ab791ab4a5c7b90c857e6e495aacedca8ae77510463621edced"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0403169",
    "kind": "arxiv",
    "version": 2
  }
}