Pith Number

pith:HOBDXC7A

pith:2007:HOBDXC7AFPQFPPSSK4S3CHQRTN

not attested not anchored not stored refs pending

Additivity of Entangled Channel Capacity for Quantum Input States

V.P.Belavkin, X.Dai

arxiv:quant-ph/0702098 v1 · 2007-02-10 · 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{HOBDXC7AFPQFPPSSK4S3CHQRTN}

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	2026-05-18T00:37:06.538204Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3b823b8be02be057be525725b11e119b5a2163159e3f23a16a265e24731bf604

Aliases

arxiv: quant-ph/0702098 · arxiv_version: quant-ph/0702098v1 · doi: 10.48550/arxiv.quant-ph/0702098 · pith_short_12: HOBDXC7AFPQF · pith_short_16: HOBDXC7AFPQFPPSS · pith_short_8: HOBDXC7A

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/HOBDXC7AFPQFPPSSK4S3CHQRTN \
  | 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: 3b823b8be02be057be525725b11e119b5a2163159e3f23a16a265e24731bf604

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5dcc5581b84c0af3232d9307bb13ab60929e3924c2d1c45a1d9f3dac69838f95",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2007-02-10T10:50:53Z",
    "title_canon_sha256": "17066ecb61306c8661f0e774bf4d1d3faa78146a7625d9985f6af9bf2044f6c1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0702098",
    "kind": "arxiv",
    "version": 1
  }
}