Pith Number

pith:3HS2OYSK

pith:2003:3HS2OYSKOGWKZ2QUA4H3CU6YGY

not attested not anchored not stored refs pending

Distillation of secret key and entanglement from quantum states

Andreas Winter, Igor Devetak

arxiv:quant-ph/0306078 v1 · 2003-06-11 · 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{3HS2OYSKOGWKZ2QUA4H3CU6YGY}

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.

Cited by

1 paper in Pith

Relative entropy of entanglement of Haar random states

Receipt and verification

First computed	2026-07-04T14:46:19.888808Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d9e5a7624a71acacea14070fb153d8360938bb8f47b766a308e713ed498364ac

Aliases

arxiv: quant-ph/0306078 · arxiv_version: quant-ph/0306078v1 · doi: 10.48550/arxiv.quant-ph/0306078 · pith_short_12: 3HS2OYSKOGWK · pith_short_16: 3HS2OYSKOGWKZ2QU · pith_short_8: 3HS2OYSK

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/3HS2OYSKOGWKZ2QUA4H3CU6YGY \
  | 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: d9e5a7624a71acacea14070fb153d8360938bb8f47b766a308e713ed498364ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1b48990f7d3ed07e1786d693b9f654755f1ecde6271cf1800030c986ffce9967",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2003-06-11T15:27:12Z",
    "title_canon_sha256": "3f28fa71084494c4b68f7946476639f2aadd1549080c75d437e207c2c887a155"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0306078",
    "kind": "arxiv",
    "version": 1
  }
}