Pith Number

pith:RPHIDI6D

pith:2007:RPHIDI6DOHXBEBS6LQJSIE3UBY

not attested not anchored not stored refs pending

Quantum coding theorem from privacy and distinguishability

Andreas Winter, Michal Horodecki, Seth Lloyd

arxiv:quant-ph/0702006 v2 · 2007-01-31 · 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{RPHIDI6DOHXBEBS6LQJSIE3UBY}

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

Random approximate quantum information masking

Receipt and verification

First computed	2026-07-04T15:10:35.452185Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8bce81a3c371ee12065e5c132413740e2ff33a76be607c4d19f017f239a34a78

Aliases

arxiv: quant-ph/0702006 · arxiv_version: quant-ph/0702006v2 · doi: 10.48550/arxiv.quant-ph/0702006 · pith_short_12: RPHIDI6DOHXB · pith_short_16: RPHIDI6DOHXBEBS6 · pith_short_8: RPHIDI6D

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/RPHIDI6DOHXBEBS6LQJSIE3UBY \
  | 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: 8bce81a3c371ee12065e5c132413740e2ff33a76be607c4d19f017f239a34a78

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3fe8d9ced5c592b919e17ca8d0cfdac3040266ca69d06d931472c4c88156cdd8",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2007-01-31T23:39:24Z",
    "title_canon_sha256": "994125fa2afda7d6d8f809543a21919c613a16dfa1034d6dd01d828a4ee64655"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0702006",
    "kind": "arxiv",
    "version": 2
  }
}