Pith Number

pith:33R5SC2W

pith:2006:33R5SC2WVJKXAQIVX44J74GIFF

not attested not anchored not stored refs pending

Quantum mutual information and the one-time pad

Benjamin Schumacher, Michael D. Westmoreland

arxiv:quant-ph/0604207 v1 · 2006-04-27 · 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{33R5SC2WVJKXAQIVX44J74GIFF}

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	2026-07-04T17:03:00.061238Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dee3d90b56aa55704115bf389ff0c8296855bd5bad4c2d99ef13cd4239bd2b98

Aliases

arxiv: quant-ph/0604207 · arxiv_version: quant-ph/0604207v1 · doi: 10.48550/arxiv.quant-ph/0604207 · pith_short_12: 33R5SC2WVJKX · pith_short_16: 33R5SC2WVJKXAQIV · pith_short_8: 33R5SC2W

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/33R5SC2WVJKXAQIVX44J74GIFF \
  | 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: dee3d90b56aa55704115bf389ff0c8296855bd5bad4c2d99ef13cd4239bd2b98

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a28cf612de6e65950058da1a9a920b64e05309c93eaf3dfa79e524eadf60b336",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2006-04-27T18:59:38Z",
    "title_canon_sha256": "fd84172750afaf9d24de10941c814455e6e0ee19c61cb667ab72d5975c87ef4b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0604207",
    "kind": "arxiv",
    "version": 1
  }
}