Pith Number

pith:ZHD6BZ3Y

pith:2012:ZHD6BZ3Y7ZIHEI2TRRTVYGHB55

not attested not anchored not stored refs pending

Private-Capacity Bounds for Bosonic Wiretap Channels

Gregory W. Wornell, Jeffrey H. Shapiro, Ligong Wang, Nivedita Chandrasekaran

arxiv:1202.1126 v1 · 2012-02-06 · 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{ZHD6BZ3Y7ZIHEI2TRRTVYGHB55}

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	2026-05-18T04:03:04.945762Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c9c7e0e778fe507223538c675c18e1ef45a6e28f1fdbb9ff18db361cf9f1a33d

Aliases

arxiv: 1202.1126 · arxiv_version: 1202.1126v1 · doi: 10.48550/arxiv.1202.1126 · pith_short_12: ZHD6BZ3Y7ZIH · pith_short_16: ZHD6BZ3Y7ZIHEI2T · pith_short_8: ZHD6BZ3Y

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/ZHD6BZ3Y7ZIHEI2TRRTVYGHB55 \
  | 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: c9c7e0e778fe507223538c675c18e1ef45a6e28f1fdbb9ff18db361cf9f1a33d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d6c67d9e46bded64737670d24c14410ab221dc9ea9d975f613f7e37dc51b2f85",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2012-02-06T12:50:39Z",
    "title_canon_sha256": "ae6605f4a3f1c61de235f7c5228321e8f0670e8bf8fc0bfad6f0c261faa184aa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.1126",
    "kind": "arxiv",
    "version": 1
  }
}