Pith Number

pith:ZXXYAJWK

pith:2006:ZXXYAJWKT77K3SDGWR6RMJPWPX

not attested not anchored not stored refs pending

Quantum states representing perfectly secure bits are always distillable

Pawel Horodecki, Remigiusz Augusiak

arxiv:quant-ph/0602176 v2 · 2006-02-21 · 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{ZXXYAJWKT77K3SDGWR6RMJPWPX}

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	2026-07-04T15:05:25.593759Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cdef8026ca9ffeadc866b47d1625f67dc31a15855a9a61ca79af3736e5f4be41

Aliases

arxiv: quant-ph/0602176 · arxiv_version: quant-ph/0602176v2 · doi: 10.48550/arxiv.quant-ph/0602176 · pith_short_12: ZXXYAJWKT77K · pith_short_16: ZXXYAJWKT77K3SDG · pith_short_8: ZXXYAJWK

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/ZXXYAJWKT77K3SDGWR6RMJPWPX \
  | 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: cdef8026ca9ffeadc866b47d1625f67dc31a15855a9a61ca79af3736e5f4be41

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fe114a85193d9e047bf58f75cc1c428029eaefd74bf257b248a6579477fe070d",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2006-02-21T23:13:43Z",
    "title_canon_sha256": "1c1ff594be4457d5b06d9b890425315c8c482f7cceb1635d6d845af9db5724aa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0602176",
    "kind": "arxiv",
    "version": 2
  }
}